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initial commit v1.0.0
authorJustin Wind <justin.wind+git@gmail.com>
Fri, 8 Sep 2023 00:52:03 +0000 (17:52 -0700)
committerJustin Wind <justin.wind+git@gmail.com>
Fri, 8 Sep 2023 00:52:03 +0000 (17:52 -0700)
12 files changed:
.eslintrc.json [new file with mode: 0644] patch | blob
.gitignore [new file with mode: 0644] patch | blob
.nycrc.json [new file with mode: 0644] patch | blob
index.js [new file with mode: 0644] patch | blob
lib/hotp.js [new file with mode: 0644] patch | blob
lib/totp.js [new file with mode: 0644] patch | blob
package-lock.json [new file with mode: 0644] patch | blob
package.json [new file with mode: 0644] patch | blob
reference/rfc4226.txt [new file with mode: 0644] patch | blob
reference/rfc6238.txt [new file with mode: 0644] patch | blob
test/hotp.js [new file with mode: 0644] patch | blob
test/totp.js [new file with mode: 0644] patch | blob

diff --git a/.eslintrc.json b/.eslintrc.json
new file mode 100644 (file)
index 0000000..697136a
--- /dev/null
+++ b/.eslintrc.json
@@ -0,0 +1,89 @@
+{
+  "env": {
+    "browser": false,
+    "es6": true,
+    "node": true
+  },
+  "extends": [
+    "eslint:recommended",
+    "plugin:node/recommended",
+    "plugin:security/recommended",
+    "plugin:sonarjs/recommended"
+  ],
+  "parserOptions": {
+    "ecmaVersion": 2018
+  },
+  "plugins": [
+    "node",
+    "security",
+    "sonarjs"
+  ],
+  "rules": {
+    "array-element-newline": [
+      "error",
+      "consistent"
+    ],
+    "arrow-parens": [
+      "error",
+      "always"
+    ],
+    "arrow-spacing": [
+      "error",
+      {
+        "after": true,
+        "before": true
+      }
+    ],
+    "block-scoped-var": "error",
+    "block-spacing": "error",
+    "brace-style": "error",
+    "callback-return": "error",
+    "camelcase": "error",
+    "class-methods-use-this": "error",
+    "comma-dangle": [
+      "error",
+      "always-multiline"
+    ],
+    "comma-spacing": [
+      "error",
+      {
+        "after": true,
+        "before": false
+      }
+    ],
+    "comma-style": [
+      "error",
+      "last"
+    ],
+    "indent": [
+      "warn",
+      2,
+      {
+        "SwitchCase": 1
+      }
+    ],
+    "sonarjs/cognitive-complexity": "warn",
+    "sonarjs/no-duplicate-string": "warn",
+    "keyword-spacing": "error",
+    "linebreak-style": [
+      "error",
+      "unix"
+    ],
+    "no-unused-vars": [
+      "error", {
+        "varsIgnorePattern": "^_"
+      }
+    ],
+    "object-curly-spacing": [
+      "error",
+      "always"
+    ],
+    "prefer-const": "error",
+    "quotes": [
+      "warn",
+      "single"
+    ],
+    "strict": "error",
+    "vars-on-top": "error"
+  }
+}
diff --git a/.gitignore b/.gitignore
new file mode 100644 (file)
index 0000000..577acc0
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,4 @@
+node_modules
+.vscode
+.nyc_output
+coverage
diff --git a/.nycrc.json b/.nycrc.json
new file mode 100644 (file)
index 0000000..497d8af
--- /dev/null
+++ b/.nycrc.json
@@ -0,0 +1,6 @@
+{
+  "reporter": [
+    "lcov",
+    "text"
+  ]
+}
diff --git a/index.js b/index.js
new file mode 100644 (file)
index 0000000..9e0aab0
--- /dev/null
+++ b/index.js
@@ -0,0 +1,6 @@
+'use strict';
+
+module.exports = {
+  HOTP: require('./lib/hotp'),
+  TOTP: require('./lib/totp'),
+};
\ No newline at end of file
diff --git a/lib/hotp.js b/lib/hotp.js
new file mode 100644 (file)
index 0000000..0fcdabc
--- /dev/null
+++ b/lib/hotp.js
@@ -0,0 +1,106 @@
+'use strict';
+
+const crypto = require('crypto');
+
+class HMACBasedOneTimePassword {
+  /**
+   * 
+   * @param {Object} options
+   * @param {Number=} options.codeLength
+   * @param {BigInt|Number|String=} options.counter
+   * @param {Buffer|String} options.key
+   * @param {String=} options.keyEncoding
+   * @param {String=} options.algorithm
+   */
+  constructor(options) {
+    Object.assign(this, this._defaultOptions, options);
+    this.keyBuffer = Buffer.isBuffer(this.key) ? this.key : Buffer.from(this.key, this.keyEncoding);
+    const expectedKeyLength = this._algorithmKeyLength(this.algorithm);
+    if (this.keyBuffer.length !== expectedKeyLength) {
+      throw new RangeError('key size does not match algorithm');
+    }
+    if (typeof(this.counter) !== 'bigint') {
+      this.counter = BigInt(this.counter);
+    }
+  }
+
+  get _defaultOptions() {
+    return {
+      codeLength: 6,
+      counter: 0n,
+      key: undefined,
+      keyEncoding: 'ascii',
+      algorithm: 'sha1',
+    };
+  }
+
+  get _algorithmKeyLengths() {
+    return {
+      'sha1': 20,
+    };
+  }
+
+  /**
+   * 
+   * @param {String} algorithm 
+   * @returns {Number}
+   */
+  _algorithmKeyLength(algorithm) {
+    if (!(this._algorithmKeyLengths[algorithm])) {
+      throw new RangeError(`unsupported algorithm '${algorithm}'`);
+    }
+    return this._algorithmKeyLengths[algorithm]; // eslint-disable-line security/detect-object-injection
+  }
+
+  /**
+   * 
+   * @param {BigInt} count
+   * @returns {Buffer}
+   */
+  _hmac(count) {
+    const counterBuffer = Buffer.alloc(8);
+    counterBuffer.writeBigUInt64BE(count);
+    return crypto.createHmac(this.algorithm, this.keyBuffer)
+      .update(counterBuffer)
+      .digest();
+  }
+
+  /**
+   * 
+   * @param {BigInt} count
+   * @returns {Number}
+   */
+  _truncate(count) {
+    const digest = this._hmac(count);
+    const offset = digest[digest.length - 1] & 0x0f;
+    return digest.readUInt32BE(offset) & 0x7fffffff;
+  }
+
+  /**
+   * 
+   * @param {BigInt=} count
+   * @returns {String}
+   */
+  generate(count) {
+    const code = this._truncate(count ?? this.counter);
+    const codeString = ('0'.repeat(this.codeLength + 1) + code.toString(10)).slice(0 - this.codeLength);
+    if (count === undefined) {
+      this.counter += 1n;
+    }
+    return codeString;
+  }
+
+  /**
+   * 
+   * @param {String} hotp
+   * @param {BigInt=} count
+   * @returns {Boolean}
+   */
+  validate(hotp, count) {
+    const codeString = this.generate(count);
+    return codeString === hotp.trim();
+  }
+
+}
+
+module.exports = HMACBasedOneTimePassword;
\ No newline at end of file
diff --git a/lib/totp.js b/lib/totp.js
new file mode 100644 (file)
index 0000000..a305193
--- /dev/null
+++ b/lib/totp.js
@@ -0,0 +1,77 @@
+'use strict';
+
+const HOTP = require('./hotp');
+
+class TimeBasedOneTimePassword extends HOTP {
+  /**
+   * 
+   * @param {Object} options
+   * @param {Number} options.codeLength
+   * @param {Buffer|String} options.key
+   * @param {String} options.keyEncoding
+   * @param {String} options.algorithm
+   * @param {Number} options.timeStepSeconds
+   * @param {Number} options.timeStepStartSeconds
+   * @param {Number} options.driftForward
+   * @param {Number} options.driftBackward
+   */
+  constructor(options) {
+    const _options = { ...options };
+    super(_options);
+    this.driftOffsets = [
+      0n, // check now first
+      ...Array.from({ length: this.driftBackward }, (v, k) => BigInt(-(k + 1))),
+      ...Array.from({ length: this.driftForward }, (v, k) => BigInt(k + 1)),
+    ];
+  }
+
+  get _algorithmKeyLengths() {
+    return {
+      ...super._algorithmKeyLengths,
+      'sha256': 32,
+      'sha512': 64,
+    };
+  }
+
+  get counter() {
+    const epoch = Math.floor(Date.now() / 1000);
+    return BigInt(Math.floor((epoch - this.timeStepStartSeconds) / this.timeStepSeconds));
+  }
+
+  set counter(_) { /* */ }
+
+  get _defaultOptions() {
+    const options = Object.assign(super._defaultOptions, {
+      timeStepSeconds: 30,
+      timeStepStartSeconds: 0,
+      driftForward: 1,
+      driftBackward: 1,
+    });
+    delete options.counter;
+    return options;
+  }
+
+  generate(count = this.counter) {
+    return super.generate(count);
+  }
+
+  /**
+   * 
+   * @param {String} hotp
+   * @param {BigInt=} count
+   * @returns {Boolean}
+   */
+  validate(hotp, count) {
+    const counter = count ?? this.counter;
+    for (const offset of this.driftOffsets) {
+      const codeString = this.generate(counter + offset);
+      if (codeString === hotp.trim()) {
+        return true;
+      }
+    }
+    return false;
+  }
+  
+}
+
+module.exports = TimeBasedOneTimePassword;
diff --git a/package-lock.json b/package-lock.json
new file mode 100644 (file)
index 0000000..b94e247
--- /dev/null
+++ b/package-lock.json
@@ -0,0 +1,6498 @@
+{
+  "name": "@squeep/totp",
+  "version": "1.0.0",
+  "lockfileVersion": 2,
+  "requires": true,
+  "packages": {
+    "": {
+      "name": "@squeep/totp",
+      "version": "1.0.0",
+      "license": "ISC",
+      "devDependencies": {
+        "eslint": "^8.48.0",
+        "eslint-plugin-node": "^11.1.0",
+        "eslint-plugin-security": "^1.7.1",
+        "eslint-plugin-sonarjs": "^0.21.0",
+        "mocha": "^10.2.0",
+        "nyc": "^15.1.0",
+        "sinon": "^15.2.0"
+      },
+      "engines": {
+        "node": ">14"
+      }
+    },
+    "node_modules/@aashutoshrathi/word-wrap": {
+      "version": "1.2.6",
+      "resolved": "https://registry.npmjs.org/@aashutoshrathi/word-wrap/-/word-wrap-1.2.6.tgz",
+      "integrity": "sha512-1Yjs2SvM8TflER/OD3cOjhWWOZb58A2t7wpE2S9XfBYTiIl+XFhQG2bjy4Pu1I+EAlCNUzRDYDdFwFYUKvXcIA==",
+      "dev": true,
+      "engines": {
+        "node": ">=0.10.0"
+      }
+    },
+    "node_modules/@ampproject/remapping": {
+      "version": "2.2.1",
+      "resolved": "https://registry.npmjs.org/@ampproject/remapping/-/remapping-2.2.1.tgz",
+      "integrity": "sha512-lFMjJTrFL3j7L9yBxwYfCq2k6qqwHyzuUl/XBnif78PWTJYyL/dfowQHWE3sp6U6ZzqWiiIZnpTMO96zhkjwtg==",
+      "dev": true,
+      "dependencies": {
+        "@jridgewell/gen-mapping": "^0.3.0",
+        "@jridgewell/trace-mapping": "^0.3.9"
+      },
+      "engines": {
+        "node": ">=6.0.0"
+      }
+    },
+    "node_modules/@babel/code-frame": {
+      "version": "7.22.13",
+      "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.22.13.tgz",
+      "integrity": "sha512-XktuhWlJ5g+3TJXc5upd9Ks1HutSArik6jf2eAjYFyIOf4ej3RN+184cZbzDvbPnuTJIUhPKKJE3cIsYTiAT3w==",
+      "dev": true,
+      "dependencies": {
+        "@babel/highlight": "^7.22.13",
+        "chalk": "^2.4.2"
+      },
+      "engines": {
+        "node": ">=6.9.0"
+      }
+    },
+    "node_modules/@babel/code-frame/node_modules/ansi-styles": {
+      "version": "3.2.1",
+      "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-3.2.1.tgz",
+      "integrity": "sha512-VT0ZI6kZRdTh8YyJw3SMbYm/u+NqfsAxEpWO0Pf9sq8/e94WxxOpPKx9FR1FlyCtOVDNOQ+8ntlqFxiRc+r5qA==",
+      "dev": true,
+      "dependencies": {
+        "color-convert": "^1.9.0"
+      },
+      "engines": {
+        "node": ">=4"
+      }
+    },
+    "node_modules/@babel/code-frame/node_modules/chalk": {
+      "version": "2.4.2",
+      "resolved": "https://registry.npmjs.org/chalk/-/chalk-2.4.2.tgz",
+      "integrity": "sha512-Mti+f9lpJNcwF4tWV8/OrTTtF1gZi+f8FqlyAdouralcFWFQWF2+NgCHShjkCb+IFBLq9buZwE1xckQU4peSuQ==",
+      "dev": true,
+      "dependencies": {
+        "ansi-styles": "^3.2.1",
+        "escape-string-regexp": "^1.0.5",
+        "supports-color": "^5.3.0"
+      },
+      "engines": {
+        "node": ">=4"
+      }
+    },
+    "node_modules/@babel/code-frame/node_modules/color-convert": {
+      "version": "1.9.3",
+      "resolved": "https://registry.npmjs.org/color-convert/-/color-convert-1.9.3.tgz",
+      "integrity": "sha512-QfAUtd+vFdAtFQcC8CCyYt1fYWxSqAiK2cSD6zDB8N3cpsEBAvRxp9zOGg6G/SHHJYAT88/az/IuDGALsNVbGg==",
+      "dev": true,
+      "dependencies": {
+        "color-name": "1.1.3"
+      }
+    },
+    "node_modules/@babel/code-frame/node_modules/color-name": {
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+      "resolved": "https://registry.npmjs.org/color-name/-/color-name-1.1.3.tgz",
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+      "dev": true
+    },
+    "node_modules/@babel/code-frame/node_modules/escape-string-regexp": {
+      "version": "1.0.5",
+      "resolved": "https://registry.npmjs.org/escape-string-regexp/-/escape-string-regexp-1.0.5.tgz",
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+      "dev": true,
+      "engines": {
+        "node": ">=0.8.0"
+      }
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+      "resolved": "https://registry.npmjs.org/has-flag/-/has-flag-3.0.0.tgz",
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+      "dev": true,
+      "engines": {
+        "node": ">=4"
+      }
+    },
+    "node_modules/@babel/code-frame/node_modules/supports-color": {
+      "version": "5.5.0",
+      "resolved": "https://registry.npmjs.org/supports-color/-/supports-color-5.5.0.tgz",
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+      "dev": true,
+      "dependencies": {
+        "has-flag": "^3.0.0"
+      },
+      "engines": {
+        "node": ">=4"
+      }
+    },
+    "node_modules/@babel/compat-data": {
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+      "resolved": "https://registry.npmjs.org/@babel/compat-data/-/compat-data-7.22.9.tgz",
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+      "dev": true,
+      "engines": {
+        "node": ">=6.9.0"
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+      "resolved": "https://registry.npmjs.org/@babel/core/-/core-7.22.11.tgz",
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+      "dev": true,
+      "dependencies": {
+        "@ampproject/remapping": "^2.2.0",
+        "@babel/code-frame": "^7.22.10",
+        "@babel/generator": "^7.22.10",
+        "@babel/helper-compilation-targets": "^7.22.10",
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+        "@babel/helpers": "^7.22.11",
+        "@babel/parser": "^7.22.11",
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+        "node": ">=6.9.0"
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+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/babel"
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+      "version": "7.22.10",
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+      "dev": true,
+      "dependencies": {
+        "@babel/types": "^7.22.10",
+        "@jridgewell/gen-mapping": "^0.3.2",
+        "@jridgewell/trace-mapping": "^0.3.17",
+        "jsesc": "^2.5.1"
+      },
+      "engines": {
+        "node": ">=6.9.0"
+      }
+    },
+    "node_modules/@babel/helper-compilation-targets": {
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diff --git a/package.json b/package.json
new file mode 100644 (file)
index 0000000..93016f6
--- /dev/null
+++ b/package.json
@@ -0,0 +1,34 @@
+{
+  "name": "@squeep/totp",
+  "version": "1.0.0",
+  "description": "A minimal TOTP/HOTP helper.",
+  "main": "index.js",
+  "scripts": {
+    "coverage": "nyc npm test",
+    "eslint": "eslint *.js lib",
+    "test": "mocha --recursive"
+  },
+  "keywords": [
+    "OTP",
+    "TOTP",
+    "HOTP",
+    "OATH",
+    "rfc4226",
+    "rfc6238",
+    "2FA"
+  ],
+  "engines": {
+    "node": ">14"
+  },
+  "author": "",
+  "license": "ISC",
+  "devDependencies": {
+    "eslint": "^8.48.0",
+    "eslint-plugin-node": "^11.1.0",
+    "eslint-plugin-security": "^1.7.1",
+    "eslint-plugin-sonarjs": "^0.21.0",
+    "mocha": "^10.2.0",
+    "nyc": "^15.1.0",
+    "sinon": "^15.2.0"
+  }
+}
diff --git a/reference/rfc4226.txt b/reference/rfc4226.txt
new file mode 100644 (file)
index 0000000..b852364
--- /dev/null
+++ b/reference/rfc4226.txt
@@ -0,0 +1,2075 @@
+
+
+
+
+
+
+Network Working Group                                         D. M'Raihi
+Request for Comments: 4226                                      VeriSign
+Category: Informational                                       M. Bellare
+                                                                    UCSD
+                                                            F. Hoornaert
+                                                                   Vasco
+                                                             D. Naccache
+                                                                 Gemplus
+                                                                O. Ranen
+                                                                 Aladdin
+                                                           December 2005
+
+
+           HOTP: An HMAC-Based One-Time Password Algorithm
+
+Status of This Memo
+
+   This memo provides information for the Internet community.  It does
+   not specify an Internet standard of any kind.  Distribution of this
+   memo is unlimited.
+
+Copyright Notice
+
+   Copyright (C) The Internet Society (2005).
+
+Abstract
+
+   This document describes an algorithm to generate one-time password
+   values, based on Hashed Message Authentication Code (HMAC).  A
+   security analysis of the algorithm is presented, and important
+   parameters related to the secure deployment of the algorithm are
+   discussed.  The proposed algorithm can be used across a wide range of
+   network applications ranging from remote Virtual Private Network
+   (VPN) access, Wi-Fi network logon to transaction-oriented Web
+   applications.
+
+   This work is a joint effort by the OATH (Open AuTHentication)
+   membership to specify an algorithm that can be freely distributed to
+   the technical community.  The authors believe that a common and
+   shared algorithm will facilitate adoption of two-factor
+   authentication on the Internet by enabling interoperability across
+   commercial and open-source implementations.
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                      [Page 1]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Table of Contents
+
+   1. Overview ........................................................3
+   2. Introduction ....................................................3
+   3. Requirements Terminology ........................................4
+   4. Algorithm Requirements ..........................................4
+   5. HOTP Algorithm ..................................................5
+      5.1. Notation and Symbols .......................................5
+      5.2. Description ................................................6
+      5.3. Generating an HOTP Value ...................................6
+      5.4. Example of HOTP Computation for Digit = 6 ..................7
+   6. Security Considerations .........................................8
+   7. Security Requirements ...........................................9
+      7.1. Authentication Protocol Requirements .......................9
+      7.2. Validation of HOTP Values .................................10
+      7.3. Throttling at the Server ..................................10
+      7.4. Resynchronization of the Counter ..........................11
+      7.5. Management of Shared Secrets ..............................11
+   8. Composite Shared Secrets .......................................14
+   9. Bi-Directional Authentication ..................................14
+   10. Conclusion ....................................................15
+   11. Acknowledgements ..............................................15
+   12. Contributors ..................................................15
+   13. References ....................................................15
+      13.1. Normative References .....................................15
+      13.2. Informative References ...................................16
+   Appendix A - HOTP Algorithm Security: Detailed Analysis ...........17
+      A.1. Definitions and Notations .................................17
+      A.2. The Idealized Algorithm: HOTP-IDEAL .......................17
+      A.3. Model of Security .........................................18
+      A.4. Security of the Ideal Authentication Algorithm ............19
+           A.4.1. From Bits to Digits ................................19
+           A.4.2. Brute Force Attacks ................................21
+           A.4.3. Brute force attacks are the best possible attacks ..22
+      A.5. Security Analysis of HOTP .................................23
+   Appendix B - SHA-1 Attacks ........................................25
+      B.1. SHA-1 Status ..............................................25
+      B.2. HMAC-SHA-1 Status .........................................26
+      B.3. HOTP Status ...............................................26
+   Appendix C - HOTP Algorithm: Reference Implementation .............27
+   Appendix D - HOTP Algorithm: Test Values ..........................32
+   Appendix E - Extensions ...........................................33
+      E.1. Number of Digits ..........................................33
+      E.2. Alphanumeric Values .......................................33
+      E.3. Sequence of HOTP values ...................................34
+      E.4. A Counter-Based Resynchronization Method ..................34
+      E.5. Data Field ................................................35
+
+
+
+
+M'Raihi, et al.              Informational                      [Page 2]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+1.  Overview
+
+   The document introduces first the context around an algorithm that
+   generates one-time password values based on HMAC [BCK1] and, thus, is
+   named the HMAC-Based One-Time Password (HOTP) algorithm.  In Section
+   4, the algorithm requirements are listed and in Section 5, the HOTP
+   algorithm is described.  Sections 6 and 7 focus on the algorithm
+   security.  Section 8 proposes some extensions and improvements, and
+   Section 10 concludes this document.  In Appendix A, the interested
+   reader will find a detailed, full-fledged analysis of the algorithm
+   security: an idealized version of the algorithm is evaluated, and
+   then the HOTP algorithm security is analyzed.
+
+2.  Introduction
+
+   Today, deployment of two-factor authentication remains extremely
+   limited in scope and scale.  Despite increasingly higher levels of
+   threats and attacks, most Internet applications still rely on weak
+   authentication schemes for policing user access.  The lack of
+   interoperability among hardware and software technology vendors has
+   been a limiting factor in the adoption of two-factor authentication
+   technology.  In particular, the absence of open specifications has
+   led to solutions where hardware and software components are tightly
+   coupled through proprietary technology, resulting in high-cost
+   solutions, poor adoption, and limited innovation.
+
+   In the last two years, the rapid rise of network threats has exposed
+   the inadequacies of static passwords as the primary mean of
+   authentication on the Internet.  At the same time, the current
+   approach that requires an end user to carry an expensive, single-
+   function device that is only used to authenticate to the network is
+   clearly not the right answer.  For two-factor authentication to
+   propagate on the Internet, it will have to be embedded in more
+   flexible devices that can work across a wide range of applications.
+
+   The ability to embed this base technology while ensuring broad
+   interoperability requires that it be made freely available to the
+   broad technical community of hardware and software developers.  Only
+   an open-system approach will ensure that basic two-factor
+   authentication primitives can be built into the next generation of
+   consumer devices such as USB mass storage devices, IP phones, and
+   personal digital assistants.
+
+   One-Time Password is certainly one of the simplest and most popular
+   forms of two-factor authentication for securing network access.  For
+   example, in large enterprises, Virtual Private Network access often
+   requires the use of One-Time Password tokens for remote user
+   authentication.  One-Time Passwords are often preferred to stronger
+
+
+
+M'Raihi, et al.              Informational                      [Page 3]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   forms of authentication such as Public-Key Infrastructure (PKI) or
+   biometrics because an air-gap device does not require the
+   installation of any client desktop software on the user machine,
+   therefore allowing them to roam across multiple machines including
+   home computers, kiosks, and personal digital assistants.
+
+   This document proposes a simple One-Time Password algorithm that can
+   be implemented by any hardware manufacturer or software developer to
+   create interoperable authentication devices and software agents.  The
+   algorithm is event-based so that it can be embedded in high-volume
+   devices such as Java smart cards, USB dongles, and GSM SIM cards.
+   The presented algorithm is made freely available to the developer
+   community under the terms and conditions of the IETF Intellectual
+   Property Rights [RFC3979].
+
+   The authors of this document are members of the Open AuTHentication
+   initiative [OATH].  The initiative was created in 2004 to facilitate
+   collaboration among strong authentication technology providers.
+
+3.  Requirements Terminology
+
+   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
+   "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
+   document are to be interpreted as described in [RFC2119].
+
+4.  Algorithm Requirements
+
+   This section presents the main requirements that drove this algorithm
+   design.  A lot of emphasis was placed on end-consumer usability as
+   well as the ability for the algorithm to be implemented by low-cost
+   hardware that may provide minimal user interface capabilities.  In
+   particular, the ability to embed the algorithm into high-volume SIM
+   and Java cards was a fundamental prerequisite.
+
+   R1 - The algorithm MUST be sequence- or counter-based: one of the
+   goals is to have the HOTP algorithm embedded in high-volume devices
+   such as Java smart cards, USB dongles, and GSM SIM cards.
+
+   R2 - The algorithm SHOULD be economical to implement in hardware by
+   minimizing requirements on battery, number of buttons, computational
+   horsepower, and size of LCD display.
+
+   R3 - The algorithm MUST work with tokens that do not support any
+   numeric input, but MAY also be used with more sophisticated devices
+   such as secure PIN-pads.
+
+   R4 - The value displayed on the token MUST be easily read and entered
+   by the user: This requires the HOTP value to be of reasonable length.
+
+
+
+M'Raihi, et al.              Informational                      [Page 4]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   The HOTP value must be at least a 6-digit value.  It is also
+   desirable that the HOTP value be 'numeric only' so that it can be
+   easily entered on restricted devices such as phones.
+
+   R5 - There MUST be user-friendly mechanisms available to
+   resynchronize the counter.  Section 7.4 and Appendix E.4 details the
+   resynchronization mechanism proposed in this document
+
+   R6 - The algorithm MUST use a strong shared secret.  The length of
+   the shared secret MUST be at least 128 bits.  This document
+   RECOMMENDs a shared secret length of 160 bits.
+
+5.  HOTP Algorithm
+
+   In this section, we introduce the notation and describe the HOTP
+   algorithm basic blocks -- the base function to compute an HMAC-SHA-1
+   value and the truncation method to extract an HOTP value.
+
+5.1.  Notation and Symbols
+
+   A string always means a binary string, meaning a sequence of zeros
+   and ones.
+
+   If s is a string, then |s| denotes its length.
+
+   If n is a number, then |n| denotes its absolute value.
+
+   If s is a string, then s[i] denotes its i-th bit.  We start numbering
+   the bits at 0, so s = s[0]s[1]...s[n-1] where n = |s| is the length
+   of s.
+
+   Let StToNum (String to Number) denote the function that as input a
+   string s returns the number whose binary representation is s. (For
+   example, StToNum(110) = 6.)
+
+   Here is a list of symbols used in this document.
+
+   Symbol  Represents
+   -------------------------------------------------------------------
+   C       8-byte counter value, the moving factor.  This counter
+           MUST be synchronized between the HOTP generator (client)
+           and the HOTP validator (server).
+
+   K       shared secret between client and server; each HOTP
+           generator has a different and unique secret K.
+
+   T       throttling parameter: the server will refuse connections
+           from a user after T unsuccessful authentication attempts.
+
+
+
+M'Raihi, et al.              Informational                      [Page 5]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+
+   s       resynchronization parameter: the server will attempt to
+           verify a received authenticator across s consecutive
+           counter values.
+
+   Digit   number of digits in an HOTP value; system parameter.
+
+5.2.  Description
+
+   The HOTP algorithm is based on an increasing counter value and a
+   static symmetric key known only to the token and the validation
+   service.  In order to create the HOTP value, we will use the HMAC-
+   SHA-1 algorithm, as defined in RFC 2104 [BCK2].
+
+   As the output of the HMAC-SHA-1 calculation is 160 bits, we must
+   truncate this value to something that can be easily entered by a
+   user.
+
+                   HOTP(K,C) = Truncate(HMAC-SHA-1(K,C))
+
+   Where:
+
+     - Truncate represents the function that converts an HMAC-SHA-1
+       value into an HOTP value as defined in Section 5.3.
+
+   The Key (K), the Counter (C), and Data values are hashed high-order
+   byte first.
+
+   The HOTP values generated by the HOTP generator are treated as big
+   endian.
+
+5.3.  Generating an HOTP Value
+
+   We can describe the operations in 3 distinct steps:
+
+   Step 1: Generate an HMAC-SHA-1 value Let HS = HMAC-SHA-1(K,C)  // HS
+   is a 20-byte string
+
+   Step 2: Generate a 4-byte string (Dynamic Truncation)
+   Let Sbits = DT(HS)   //  DT, defined below,
+                        //  returns a 31-bit string
+
+   Step 3: Compute an HOTP value
+   Let Snum  = StToNum(Sbits)   // Convert S to a number in
+                                    0...2^{31}-1
+   Return D = Snum mod 10^Digit //  D is a number in the range
+                                    0...10^{Digit}-1
+
+
+
+
+M'Raihi, et al.              Informational                      [Page 6]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   The Truncate function performs Step 2 and Step 3, i.e., the dynamic
+   truncation and then the reduction modulo 10^Digit.  The purpose of
+   the dynamic offset truncation technique is to extract a 4-byte
+   dynamic binary code from a 160-bit (20-byte) HMAC-SHA-1 result.
+
+    DT(String) // String = String[0]...String[19]
+     Let OffsetBits be the low-order 4 bits of String[19]
+     Offset = StToNum(OffsetBits) // 0 <= OffSet <= 15
+     Let P = String[OffSet]...String[OffSet+3]
+     Return the Last 31 bits of P
+
+   The reason for masking the most significant bit of P is to avoid
+   confusion about signed vs. unsigned modulo computations.  Different
+   processors perform these operations differently, and masking out the
+   signed bit removes all ambiguity.
+
+   Implementations MUST extract a 6-digit code at a minimum and possibly
+   7 and 8-digit code.  Depending on security requirements, Digit = 7 or
+   more SHOULD be considered in order to extract a longer HOTP value.
+
+   The following paragraph is an example of using this technique for
+   Digit = 6, i.e., that a 6-digit HOTP value is calculated from the
+   HMAC value.
+
+5.4.  Example of HOTP Computation for Digit = 6
+
+   The following code example describes the extraction of a dynamic
+   binary code given that hmac_result is a byte array with the HMAC-
+   SHA-1 result:
+
+        int offset   =  hmac_result[19] & 0xf ;
+        int bin_code = (hmac_result[offset]  & 0x7f) << 24
+           | (hmac_result[offset+1] & 0xff) << 16
+           | (hmac_result[offset+2] & 0xff) <<  8
+           | (hmac_result[offset+3] & 0xff) ;
+
+   SHA-1 HMAC Bytes (Example)
+
+   -------------------------------------------------------------
+   | Byte Number                                               |
+   -------------------------------------------------------------
+   |00|01|02|03|04|05|06|07|08|09|10|11|12|13|14|15|16|17|18|19|
+   -------------------------------------------------------------
+   | Byte Value                                                |
+   -------------------------------------------------------------
+   |1f|86|98|69|0e|02|ca|16|61|85|50|ef|7f|19|da|8e|94|5b|55|5a|
+   -------------------------------***********----------------++|
+
+
+
+
+M'Raihi, et al.              Informational                      [Page 7]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   * The last byte (byte 19) has the hex value 0x5a.
+   * The value of the lower 4 bits is 0xa (the offset value).
+   * The offset value is byte 10 (0xa).
+   * The value of the 4 bytes starting at byte 10 is 0x50ef7f19,
+     which is the dynamic binary code DBC1.
+   * The MSB of DBC1 is 0x50 so DBC2 = DBC1 = 0x50ef7f19 .
+   * HOTP = DBC2 modulo 10^6 = 872921.
+
+   We treat the dynamic binary code as a 31-bit, unsigned, big-endian
+   integer; the first byte is masked with a 0x7f.
+
+   We then take this number modulo 1,000,000 (10^6) to generate the 6-
+   digit HOTP value 872921 decimal.
+
+6.  Security Considerations
+
+   The conclusion of the security analysis detailed in the Appendix is
+   that, for all practical purposes, the outputs of the Dynamic
+   Truncation (DT) on distinct counter inputs are uniformly and
+   independently distributed 31-bit strings.
+
+   The security analysis then details the impact of the conversion from
+   a string to an integer and the final reduction modulo 10^Digit, where
+   Digit is the number of digits in an HOTP value.
+
+   The analysis demonstrates that these final steps introduce a
+   negligible bias, which does not impact the security of the HOTP
+   algorithm, in the sense that the best possible attack against the
+   HOTP function is the brute force attack.
+
+   Assuming an adversary is able to observe numerous protocol exchanges
+   and collect sequences of successful authentication values.  This
+   adversary, trying to build a function F to generate HOTP values based
+   on his observations, will not have a significant advantage over a
+   random guess.
+
+   The logical conclusion is simply that the best strategy will once
+   again be to perform a brute force attack to enumerate and try all the
+   possible values.
+
+   Considering the security analysis in the Appendix of this document,
+   without loss of generality, we can approximate closely the security
+   of the HOTP algorithm by the following formula:
+
+                            Sec = sv/10^Digit
+
+
+
+
+
+
+M'Raihi, et al.              Informational                      [Page 8]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   Where:
+     - Sec is the probability of success of the adversary;
+     - s is the look-ahead synchronization window size;
+     - v is the number of verification attempts;
+     - Digit is the number of digits in HOTP values.
+
+   Obviously, we can play with s, T (the Throttling parameter that would
+   limit the number of attempts by an attacker), and Digit until
+   achieving a certain level of security, still preserving the system
+   usability.
+
+7.  Security Requirements
+
+   Any One-Time Password algorithm is only as secure as the application
+   and the authentication protocols that implement it.  Therefore, this
+   section discusses the critical security requirements that our choice
+   of algorithm imposes on the authentication protocol and validation
+   software.
+
+   The parameters T and s discussed in this section have a significant
+   impact on the security -- further details in Section 6 elaborate on
+   the relations between these parameters and their impact on the system
+   security.
+
+   It is also important to remark that the HOTP algorithm is not a
+   substitute for encryption and does not provide for the privacy of
+   data transmission.  Other mechanisms should be used to defeat attacks
+   aimed at breaking confidentiality and privacy of transactions.
+
+7.1.  Authentication Protocol Requirements
+
+   We introduce in this section some requirements for a protocol P
+   implementing HOTP as the authentication method between a prover and a
+   verifier.
+
+   RP1 - P MUST support two-factor authentication, i.e., the
+   communication and verification of something you know (secret code
+   such as a Password, Pass phrase, PIN code, etc.) and something you
+   have (token).  The secret code is known only to the user and usually
+   entered with the One-Time Password value for authentication purpose
+   (two-factor authentication).
+
+   RP2 - P SHOULD NOT be vulnerable to brute force attacks.  This
+   implies that a throttling/lockout scheme is RECOMMENDED on the
+   validation server side.
+
+   RP3 - P SHOULD be implemented over a secure channel in order to
+   protect users' privacy and avoid replay attacks.
+
+
+
+M'Raihi, et al.              Informational                      [Page 9]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+7.2.  Validation of HOTP Values
+
+   The HOTP client (hardware or software token) increments its counter
+   and then calculates the next HOTP value HOTP client.  If the value
+   received by the authentication server matches the value calculated by
+   the client, then the HOTP value is validated.  In this case, the
+   server increments the counter value by one.
+
+   If the value received by the server does not match the value
+   calculated by the client, the server initiate the resynch protocol
+   (look-ahead window) before it requests another pass.
+
+   If the resynch fails, the server asks then for another
+   authentication pass of the protocol to take place, until the
+   maximum number of authorized attempts is reached.
+
+   If and when the maximum number of authorized attempts is reached, the
+   server SHOULD lock out the account and initiate a procedure to inform
+   the user.
+
+7.3.  Throttling at the Server
+
+   Truncating the HMAC-SHA-1 value to a shorter value makes a brute
+   force attack possible.  Therefore, the authentication server needs to
+   detect and stop brute force attacks.
+
+   We RECOMMEND setting a throttling parameter T, which defines the
+   maximum number of possible attempts for One-Time Password validation.
+   The validation server manages individual counters per HOTP device in
+   order to take note of any failed attempt.  We RECOMMEND T not to be
+   too large, particularly if the resynchronization method used on the
+   server is window-based, and the window size is large.  T SHOULD be
+   set as low as possible, while still ensuring that usability is not
+   significantly impacted.
+
+   Another option would be to implement a delay scheme to avoid a brute
+   force attack.  After each failed attempt A, the authentication server
+   would wait for an increased T*A number of seconds, e.g., say T = 5,
+   then after 1 attempt, the server waits for 5 seconds, at the second
+   failed attempt, it waits for 5*2 = 10 seconds, etc.
+
+   The delay or lockout schemes MUST be across login sessions to prevent
+   attacks based on multiple parallel guessing techniques.
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 10]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+7.4.  Resynchronization of the Counter
+
+   Although the server's counter value is only incremented after a
+   successful HOTP authentication, the counter on the token is
+   incremented every time a new HOTP is requested by the user.  Because
+   of this, the counter values on the server and on the token might be
+   out of synchronization.
+
+   We RECOMMEND setting a look-ahead parameter s on the server, which
+   defines the size of the look-ahead window.  In a nutshell, the server
+   can recalculate the next s HOTP-server values, and check them against
+   the received HOTP client.
+
+   Synchronization of counters in this scenario simply requires the
+   server to calculate the next HOTP values and determine if there is a
+   match.  Optionally, the system MAY require the user to send a
+   sequence of (say, 2, 3) HOTP values for resynchronization purpose,
+   since forging a sequence of consecutive HOTP values is even more
+   difficult than guessing a single HOTP value.
+
+   The upper bound set by the parameter s ensures the server does not go
+   on checking HOTP values forever (causing a denial-of-service attack)
+   and also restricts the space of possible solutions for an attacker
+   trying to manufacture HOTP values. s SHOULD be set as low as
+   possible, while still ensuring that usability is not impacted.
+
+7.5.  Management of Shared Secrets
+
+   The operations dealing with the shared secrets used to generate and
+   verify OTP values must be performed securely, in order to mitigate
+   risks of any leakage of sensitive information.  We describe in this
+   section different modes of operations and techniques to perform these
+   different operations with respect to the state of the art in data
+   security.
+
+   We can consider two different avenues for generating and storing
+   (securely) shared secrets in the Validation system:
+
+      * Deterministic Generation: secrets are derived from a master
+        seed, both at provisioning and verification stages and generated
+        on-the-fly whenever it is required.
+      * Random Generation: secrets are generated randomly at
+        provisioning stage and must be stored immediately and kept
+        secure during their life cycle.
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 11]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   Deterministic Generation
+   ------------------------
+
+   A possible strategy is to derive the shared secrets from a master
+   secret.  The master secret will be stored at the server only.  A
+   tamper-resistant device MUST be used to store the master key and
+   derive the shared secrets from the master key and some public
+   information.  The main benefit would be to avoid the exposure of the
+   shared secrets at any time and also avoid specific requirements on
+   storage, since the shared secrets could be generated on-demand when
+   needed at provisioning and validation time.
+
+   We distinguish two different cases:
+
+      - A single master key MK is used to derive the shared secrets;
+        each HOTP device has a different secret, K_i = SHA-1 (MK,i)
+        where i stands for a public piece of information that identifies
+        uniquely the HOTP device such as a serial number, a token ID,
+        etc.  Obviously, this is in the context of an application or
+        service -- different application or service providers will have
+        different secrets and settings.
+      - Several master keys MK_i are used and each HOTP device stores a
+        set of different derived secrets, {K_i,j = SHA-1(MK_i,j)} where
+        j stands for a public piece of information identifying the
+        device.  The idea would be to store ONLY the active master key
+        at the validation server, in the Hardware Security Module (HSM),
+        and keep in a safe place, using secret sharing methods such as
+        [Shamir] for instance.  In this case, if a master secret MK_i is
+        compromised, then it is possible to switch to another secret
+        without replacing all the devices.
+
+   The drawback in the deterministic case is that the exposure of the
+   master secret would obviously enable an attacker to rebuild any
+   shared secret based on correct public information.  The revocation of
+   all secrets would be required, or switching to a new set of secrets
+   in the case of multiple master keys.
+
+   On the other hand, the device used to store the master key(s) and
+   generate the shared secrets MUST be tamper resistant.  Furthermore,
+   the HSM will not be exposed outside the security perimeter of the
+   validation system, therefore reducing the risk of leakage.
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 12]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   Random Generation
+   -----------------
+
+   The shared secrets are randomly generated.  We RECOMMEND following
+   the recommendations in [RFC4086] and selecting a good and secure
+   random source for generating these secrets.  A (true) random
+   generator requires a naturally occurring source of randomness.
+   Practically, there are two possible avenues to consider for the
+   generation of the shared secrets:
+
+      * Hardware-based generators: they exploit the randomness that
+   occurs in physical phenomena.  A nice implementation can be based on
+   oscillators and built in such ways that active attacks are more
+   difficult to perform.
+
+      * Software-based generators: designing a good software random
+   generator is not an easy task.  A simple, but efficient,
+   implementation should be based on various sources and apply to the
+   sampled sequence a one-way function such as SHA-1.
+
+   We RECOMMEND selecting proven products, being hardware or software
+   generators, for the computation of shared secrets.
+
+   We also RECOMMEND storing the shared secrets securely, and more
+   specifically encrypting the shared secrets when stored using tamper-
+   resistant hardware encryption and exposing them only when required:
+   for example, the shared secret is decrypted when needed to verify an
+   HOTP value, and re-encrypted immediately to limit exposure in the RAM
+   for a short period of time.  The data store holding the shared
+   secrets MUST be in a secure area, to avoid as much as possible direct
+   attack on the validation system and secrets database.
+
+   Particularly, access to the shared secrets should be limited to
+   programs and processes required by the validation system only.  We
+   will not elaborate on the different security mechanisms to put in
+   place, but obviously, the protection of shared secrets is of the
+   uttermost importance.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 13]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+8.  Composite Shared Secrets
+
+   It may be desirable to include additional authentication factors in
+   the shared secret K.  These additional factors can consist of any
+   data known at the token but not easily obtained by others.  Examples
+   of such data include:
+
+      * PIN or Password obtained as user input at the token
+      * Phone number
+      * Any unique identifier programmatically available at the token
+
+   In this scenario, the composite shared secret K is constructed during
+   the provisioning process from a random seed value combined with one
+   or more additional authentication factors.  The server could either
+   build on-demand or store composite secrets -- in any case, depending
+   on implementation choice, the token only stores the seed value.  When
+   the token performs the HOTP calculation, it computes K from the seed
+   value and the locally derived or input values of the other
+   authentication factors.
+
+   The use of composite shared secrets can strengthen HOTP-based
+   authentication systems through the inclusion of additional
+   authentication factors at the token.  To the extent that the token is
+   a trusted device, this approach has the further benefit of not
+   requiring exposure of the authentication factors (such as the user
+   input PIN) to other devices.
+
+9.  Bi-Directional Authentication
+
+   Interestingly enough, the HOTP client could also be used to
+   authenticate the validation server, claiming that it is a genuine
+   entity knowing the shared secret.
+
+   Since the HOTP client and the server are synchronized and share the
+   same secret (or a method to recompute it), a simple 3-pass protocol
+   could be put in place:
+   1- The end user enter the TokenID and a first OTP value OTP1;
+   2- The server checks OTP1 and if correct, sends back OTP2;
+   3- The end user checks OTP2 using his HOTP device and if correct,
+      uses the web site.
+
+   Obviously, as indicated previously, all the OTP communications have
+   to take place over a secure channel, e.g., SSL/TLS, IPsec
+   connections.
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 14]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+10.  Conclusion
+
+   This document describes HOTP, a HMAC-based One-Time Password
+   algorithm.  It also recommends the preferred implementation and
+   related modes of operations for deploying the algorithm.
+
+   The document also exhibits elements of security and demonstrates that
+   the HOTP algorithm is practical and sound, the best possible attack
+   being a brute force attack that can be prevented by careful
+   implementation of countermeasures in the validation server.
+
+   Eventually, several enhancements have been proposed, in order to
+   improve security if needed for specific applications.
+
+11.  Acknowledgements
+
+   The authors would like to thank Siddharth Bajaj, Alex Deacon, Loren
+   Hart, and Nico Popp for their help during the conception and
+   redaction of this document.
+
+12.  Contributors
+
+   The authors of this document would like to emphasize the role of
+   three persons who have made a key contribution to this document:
+
+   - Laszlo Elteto is system architect with SafeNet, Inc.
+
+   - Ernesto Frutos is director of Engineering with Authenex, Inc.
+
+   - Fred McClain is Founder and CTO with Boojum Mobile, Inc.
+
+   Without their advice and valuable inputs, this document would not be
+   the same.
+
+13.  References
+
+13.1.  Normative References
+
+   [BCK1]     M.  Bellare, R.  Canetti and H.  Krawczyk, "Keyed Hash
+              Functions and Message Authentication", Proceedings of
+              Crypto'96, LNCS Vol. 1109, pp. 1-15.
+
+   [BCK2]     Krawczyk, H., Bellare, M., and R. Canetti, "HMAC: Keyed-
+              Hashing for Message Authentication", RFC 2104, February
+              1997.
+
+   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
+              Requirement Levels", BCP 14, RFC 2119, March 1997.
+
+
+
+M'Raihi, et al.              Informational                     [Page 15]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   [RFC3979]  Bradner, S., "Intellectual Property Rights in IETF
+              Technology", BCP 79, RFC 3979, March 2005.
+
+   [RFC4086]  Eastlake, D., 3rd, Schiller, J., and S.  Crocker,
+              "Randomness Requirements for Security", BCP 106, RFC 4086,
+              June 2005.
+
+13.2.  Informative References
+
+   [OATH]     Initiative for Open AuTHentication
+              http://www.openauthentication.org
+
+   [PrOo]     B.  Preneel and P. van Oorschot, "MD-x MAC and building
+              fast MACs from hash functions", Advances in Cryptology
+              CRYPTO '95, Lecture Notes in Computer Science Vol. 963, D.
+              Coppersmith ed., Springer-Verlag, 1995.
+
+   [Crack]    Crack in SHA-1 code 'stuns' security gurus
+              http://www.eetimes.com/showArticle.jhtml?
+              articleID=60402150
+
+   [Sha1]     Bruce Schneier.  SHA-1 broken.  February 15, 2005.
+              http://www.schneier.com/blog/archives/2005/02/
+              sha1_broken.html
+
+   [Res]      Researchers: Digital encryption standard flawed
+              http://news.com.com/
+              Researchers+Digital+encryption+standard+flawed/
+              2100-1002-5579881.html?part=dht&tag=ntop&tag=nl.e703
+
+   [Shamir]   How to Share a Secret, by Adi Shamir.  In Communications
+              of the ACM, Vol. 22, No. 11, pp. 612-613, November, 1979.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 16]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Appendix A - HOTP Algorithm Security: Detailed Analysis
+
+   The security analysis of the HOTP algorithm is summarized in this
+   section.  We first detail the best attack strategies, and then
+   elaborate on the security under various assumptions and the impact of
+   the truncation and make some recommendations regarding the number of
+   digits.
+
+   We focus this analysis on the case where Digit = 6, i.e., an HOTP
+   function that produces 6-digit values, which is the bare minimum
+   recommended in this document.
+
+A.1.  Definitions and Notations
+
+   We denote by {0,1}^l the set of all strings of length l.
+
+   Let Z_{n} = {0,.., n - 1}.
+
+   Let IntDiv(a,b) denote the integer division algorithm that takes
+   input integers a, b where a >= b >= 1 and returns integers (q,r)
+
+   the quotient and remainder, respectively, of the division of a by b.
+   (Thus, a = bq + r and 0 <= r < b.)
+
+   Let H: {0,1}^k x {0,1}^c --> {0,1}^n be the base function that takes
+   a k-bit key K and c-bit counter C and returns an n-bit output H(K,C).
+   (In the case of HOTP, H is HMAC-SHA-1; we use this formal definition
+   for generalizing our proof of security.)
+
+A.2.  The Idealized Algorithm: HOTP-IDEAL
+
+   We now define an idealized counterpart of the HOTP algorithm.  In
+   this algorithm, the role of H is played by a random function that
+   forms the key.
+
+   To be more precise, let Maps(c,n) denote the set of all functions
+   mapping from {0,1}^c to {0,1}^n.  The idealized algorithm has key
+   space Maps(c,n), so that a "key" for such an algorithm is a function
+   h from {0,1}^c to {0,1}^n.  We imagine this key (function) to be
+   drawn at random.  It is not feasible to implement this idealized
+   algorithm, since the key, being a function from {0,1}^c to {0,1}^n,
+   is way too large to even store.  So why consider it?
+
+   Our security analysis will show that as long as H satisfies a certain
+   well-accepted assumption, the security of the actual and idealized
+   algorithms is for all practical purposes the same.  The task that
+   really faces us, then, is to assess the security of the idealized
+   algorithm.
+
+
+
+M'Raihi, et al.              Informational                     [Page 17]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   In analyzing the idealized algorithm, we are concentrating on
+   assessing the quality of the design of the algorithm itself,
+   independently of HMAC-SHA-1.  This is in fact the important issue.
+
+A.3.  Model of Security
+
+   The model exhibits the type of threats or attacks that are being
+   considered and enables one to assess the security of HOTP and HOTP-
+   IDEAL.  We denote ALG as either HOTP or HOTP-IDEAL for the purpose of
+   this security analysis.
+
+   The scenario we are considering is that a user and server share a key
+   K for ALG.  Both maintain a counter C, initially zero, and the user
+   authenticates itself by sending ALG(K,C) to the server.  The latter
+   accepts if this value is correct.
+
+   In order to protect against accidental increment of the user counter,
+   the server, upon receiving a value z, will accept as long as z equals
+   ALG(K,i) for some i in the range C,...,C + s-1, where s is the
+   resynchronization parameter and C is the server counter.  If it
+   accepts with some value of i, it then increments its counter to i+1.
+   If it does not accept, it does not change its counter value.
+
+   The model we specify captures what an adversary can do and what it
+   needs to achieve in order to "win".  First, the adversary is assumed
+   to be able to eavesdrop, meaning, to see the authenticator
+   transmitted by the user.  Second, the adversary wins if it can get
+   the server to accept an authenticator relative to a counter value for
+   which the user has never transmitted an authenticator.
+
+   The formal adversary, which we denote by B, starts out knowing which
+   algorithm ALG is being used, knowing the system design, and knowing
+   all system parameters.  The one and only thing it is not given a
+   priori is the key K shared between the user and the server.
+
+   The model gives B full control of the scheduling of events.  It has
+   access to an authenticator oracle representing the user.  By calling
+   this oracle, the adversary can ask the user to authenticate itself
+   and get back the authenticator in return.  It can call this oracle as
+   often as it wants and when it wants, using the authenticators it
+   accumulates to perhaps "learn" how to make authenticators itself.  At
+   any time, it may also call a verification oracle, supplying the
+   latter with a candidate authenticator of its choice.  It wins if the
+   server accepts this accumulator.
+
+   Consider the following game involving an adversary B that is
+   attempting to compromise the security of an authentication algorithm
+   ALG: K x {0,1}^c --> R.
+
+
+
+M'Raihi, et al.              Informational                     [Page 18]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   Initializations - A key K is selected at random from K, a counter C
+   is initialized to 0, and the Boolean value win is set to false.
+
+   Game execution - Adversary B is provided with the two following
+   oracles:
+
+   Oracle AuthO()
+   --------------
+      A = ALG(K,C)
+      C = C + 1
+      Return O to B
+
+   Oracle VerO(A)
+   --------------
+      i = C
+      While (i <= C + s - 1 and Win == FALSE) do
+         If A == ALG(K,i) then Win = TRUE; C = i + 1
+         Else i = i + 1
+      Return Win to B
+
+   AuthO() is the authenticator oracle and VerO(A) is the verification
+   oracle.
+
+   Upon execution, B queries the two oracles at will.  Let Adv(B) be the
+   probability that win gets set to true in the above game.  This is the
+   probability that the adversary successfully impersonates the user.
+
+   Our goal is to assess how large this value can be as a function of
+   the number v of verification queries made by B, the number a of
+   authenticator oracle queries made by B, and the running time t of B.
+   This will tell us how to set the throttle, which effectively upper
+   bounds v.
+
+A.4.  Security of the Ideal Authentication Algorithm
+
+   This section summarizes the security analysis of HOTP-IDEAL, starting
+   with the impact of the conversion modulo 10^Digit and then focusing
+   on the different possible attacks.
+
+A.4.1.  From Bits to Digits
+
+   The dynamic offset truncation of a random n-bit string yields a
+   random 31-bit string.  What happens to the distribution when it is
+   taken modulo m = 10^Digit, as done in HOTP?
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 19]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   The following lemma estimates the biases in the outputs in this case.
+
+   Lemma 1
+   -------
+   Let N >= m >= 1 be integers, and let (q,r) = IntDiv(N,m).  For z in
+   Z_{m} let:
+
+          P_{N,m}(z) = Pr [x mod m = z : x randomly pick in Z_{n}]
+
+   Then for any z in Z_{m}
+
+   P_{N,m}(z) =   (q + 1) / N    if 0 <= z < r
+                  q / N          if r <= z < m
+
+   Proof of Lemma 1
+   ----------------
+   Let the random variable X be uniformly distributed over Z_{N}.  Then:
+
+   P_{N,m}(z)  = Pr [X mod m = z]
+
+                = Pr [X < mq] * Pr [X mod m = z| X < mq]
+                + Pr [mq <= X < N] * Pr [X mod m = z| mq <= X < N]
+
+                = mq/N * 1/m +
+                   (N - mq)/N * 1 / (N - mq)     if 0 <= z < N - mq
+                   0                             if N - mq <= z <= m
+
+                = q/N +
+                   r/N * 1 / r                   if 0 <= z < N - mq
+                   0                             if r <= z <= m
+
+   Simplifying yields the claimed equation.
+
+   Let N = 2^31, d = 6, and m = 10^d.  If x is chosen at random from
+   Z_{N} (meaning, is a random 31-bit string), then reducing it to a 6-
+   digit number by taking x mod m does not yield a random 6-digit
+   number.
+
+   Rather, x mod m is distributed as shown in the following table:
+
+   Values               Probability that each appears as output
+   ----------------------------------------------------------------
+   0,1,...,483647       2148/2^31 roughly equals to 1.00024045/10^6
+   483648,...,999999    2147/2^31 roughly equals to 0.99977478/10^6
+
+   If X is uniformly distributed over Z_{2^31} (meaning, is a random
+   31-bit string), then the above shows the probabilities for different
+   outputs of X mod 10^6.  The first set of values appears with
+
+
+
+M'Raihi, et al.              Informational                     [Page 20]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   probability slightly greater than 10^-6, the rest with probability
+   slightly less, meaning that the distribution is slightly non-uniform.
+
+   However, as the table above indicates, the bias is small, and as we
+   will see later, negligible: the probabilities are very close to
+   10^-6.
+
+A.4.2.  Brute Force Attacks
+
+   If the authenticator consisted of d random digits, then a brute force
+   attack using v verification attempts would succeed with probability
+   sv/10^Digit.
+
+   However, an adversary can exploit the bias in the outputs of
+   HOTP-IDEAL, predicted by Lemma 1, to mount a slightly better attack.
+
+   Namely, it makes authentication attempts with authenticators that are
+   the most likely values, meaning the ones in the range 0,...,r - 1,
+   where (q,r) = IntDiv(2^31,10^Digit).
+
+   The following specifies an adversary in our model of security that
+   mounts the attack.  It estimates the success probability as a
+   function of the number of verification queries.
+
+   For simplicity, we assume that the number of verification queries is
+   at most r.  With N = 2^31 and m = 10^6, we have r = 483,648, and the
+   throttle value is certainly less than this, so this assumption is not
+   much of a restriction.
+
+   Proposition 1
+   -------------
+
+   Suppose m = 10^Digit < 2^31, and let (q,r) = IntDiv(2^31,m).  Assume
+   s <= m.  The brute-force-attack adversary B-bf attacks HOTP using v
+   <= r verification oracle queries.  This adversary makes no
+   authenticator oracle queries, and succeeds with probability
+
+                    Adv(B-bf) = 1 - (1 - v(q+1)/2^31)^s
+
+   which is roughly equal to
+
+                             sv * (q+1)/2^31
+
+   With m = 10^6 we get q = 2,147.  In that case, the brute force attack
+   using v verification attempts succeeds with probability
+
+         Adv(B-bf) roughly = sv * 2148/2^31 = sv * 1.00024045/10^6
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 21]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   As this equation shows, the resynchronization parameter s has a
+   significant impact in that the adversary's success probability is
+   proportional to s.  This means that s cannot be made too large
+   without compromising security.
+
+A.4.3.  Brute force attacks are the best possible attacks.
+
+   A central question is whether there are attacks any better than the
+   brute force one.  In particular, the brute force attack did not
+   attempt to collect authenticators sent by the user and try to
+   cryptanalyze them in an attempt to learn how to better construct
+   authenticators.  Would doing this help? Is there some way to "learn"
+   how to build authenticators that result in a higher success rate than
+   given by the brute-force attack?
+
+   The following says the answer to these questions is no.  No matter
+   what strategy the adversary uses, and even if it sees, and tries to
+   exploit, the authenticators from authentication attempts of the user,
+   its success probability will not be above that of the brute force
+   attack -- this is true as long as the number of authentications it
+   observes is not incredibly large.  This is valuable information
+   regarding the security of the scheme.
+
+   Proposition 2 ------------- Suppose m = 10^Digit < 2^31, and let
+   (q,r) = IntDiv(2^31,m).  Let B be any adversary attacking HOTP-IDEAL
+   using v verification oracle queries and a <= 2^c - s authenticator
+   oracle queries.  Then
+
+                        Adv(B) < = sv * (q+1)/ 2^31
+
+   Note: This result is conditional on the adversary not seeing more
+   than 2^c - s authentications performed by the user, which is hardly
+   restrictive as long as c is large enough.
+
+   With m = 10^6, we get q = 2,147.  In that case, Proposition 2 says
+   that any adversary B attacking HOTP-IDEAL and making v verification
+   attempts succeeds with probability at most
+
+   Equation 1
+   ----------
+              sv * 2148/2^31 roughly = sv * 1.00024045/10^6
+
+   Meaning, B's success rate is not more than that achieved by the brute
+   force attack.
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 22]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+A.5.  Security Analysis of HOTP
+
+   We have analyzed, in the previous sections, the security of the
+   idealized counterparts HOTP-IDEAL of the actual authentication
+   algorithm HOTP.  We now show that, under appropriate and well-
+   believed assumption on H, the security of the actual algorithms is
+   essentially the same as that of its idealized counterpart.
+
+   The assumption in question is that H is a secure pseudorandom
+   function, or PRF, meaning that its input-output values are
+   indistinguishable from those of a random function in practice.
+
+   Consider an adversary A that is given an oracle for a function f:
+   {0,1}^c --> {0, 1}^n and eventually outputs a bit.  We denote Adv(A)
+   as the prf-advantage of A, which represents how well the adversary
+   does at distinguishing the case where its oracle is H(K,.) from the
+   case where its oracle is a random function of {0,1}^c to {0,1}^n.
+
+   One possible attack is based on exhaustive search for the key K.  If
+   A runs for t steps and T denotes the time to perform one computation
+   of H, its prf-advantage from this attack turns out to be (t/T)2^-k.
+   Another possible attack is a birthday one [PrOo], whereby A can
+   attain advantage p^2/2^n in p oracle queries and running time about
+   pT.
+
+   Our assumption is that these are the best possible attacks.  This
+   translates into the following.
+
+   Assumption 1
+   ------------
+
+   Let T denotes the time to perform one computation of H.  Then if A is
+   any adversary with running time at most t and making at most p oracle
+   queries,
+
+                       Adv(A) <= (t/T)/2^k + p^2/2^n
+
+   In practice, this assumption means that H is very secure as PRF.  For
+   example, given that k = n = 160, an attacker with running time 2^60
+   and making 2^40 oracle queries has advantage at most (about) 2^-80.
+
+   Theorem 1
+   ---------
+
+   Suppose m = 10^Digit < 2^31, and let (q,r) = IntDiv(2^31,m).  Let B
+   be any adversary attacking HOTP using v verification oracle queries,
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 23]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   a <= 2^c - s authenticator oracle queries, and running time t.  Let T
+   denote the time to perform one computation of H.  If Assumption 1 is
+   true, then
+
+         Adv(B) <= sv * (q + 1)/2^31 + (t/T)/2^k + ((sv + a)^2)/2^n
+
+   In practice, the (t/T)2^-k + ((sv + a)^2)2^-n term is much smaller
+   than the sv(q + 1)/2^n term, so that the above says that for all
+   practical purposes the success rate of an adversary attacking HOTP is
+   sv(q + 1)/2^n, just as for HOTP-IDEAL, meaning the HOTP algorithm is
+   in practice essentially as good as its idealized counterpart.
+
+   In the case m = 10^6 of a 6-digit output, this means that an
+   adversary making v authentication attempts will have a success rate
+   that is at most that of Equation 1.
+
+   For example, consider an adversary with running time at most 2^60
+   that sees at most 2^40 authentication attempts of the user.  Both
+   these choices are very generous to the adversary, who will typically
+   not have these resources, but we are saying that even such a powerful
+   adversary will not have more success than indicated by Equation 1.
+
+   We can safely assume sv <= 2^40 due to the throttling and bounds on
+   s.  So:
+
+       (t/T)/2^k + ((sv + a)^2)/2^n  <= 2^60/2^160 + (2^41)^2/2^160
+                                    roughly <= 2^-78
+
+   which is much smaller than the success probability of Equation 1 and
+   negligible compared to it.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 24]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Appendix B - SHA-1 Attacks
+
+   This sections addresses the impact of the recent attacks on SHA-1 on
+   the security of the HMAC-SHA-1-based HOTP.  We begin with some
+   discussion of the situation of SHA-1 and then discuss the relevance
+   to HMAC-SHA-1 and HOTP.  Cited references are in Section 13.
+
+B.1.  SHA-1 Status
+
+   A collision for a hash function h means a pair x,y of different
+   inputs such that h(x)=h(y).  Since SHA-1 outputs 160 bits, a birthday
+   attack finds a collision in 2^{80} trials.  (A trial means one
+   computation of the function.)  This was thought to be the best
+   possible until Wang, Yin, and Yu announced on February 15, 2005, that
+   they had an attack finding collisions in 2^{69} trials.
+
+   Is SHA-1 broken? For most practical purposes, we would say probably
+   not, since the resources needed to mount the attack are huge.  Here
+   is one way to get a sense of it: we can estimate it is about the same
+   as the time we would need to factor a 760-bit RSA modulus, and this
+   is currently considered out of reach.
+
+   Burr of NIST is quoted in [Crack] as saying "Large national
+   intelligence agencies could do this in a reasonable amount of time
+   with a few million dollars in computer time".  However, the
+   computation may be out of reach of all but such well-funded agencies.
+
+   One should also ask what impact finding SHA-1 collisions actually has
+   on security of real applications such as signatures.  To exploit a
+   collision x,y to forge signatures, you need to somehow obtain a
+   signature of x and then you can forge a signature of y.  How damaging
+   this is depends on the content of y: the y created by the attack may
+   not be meaningful in the application context.  Also, one needs a
+   chosen-message attack to get the signature of x.  This seems possible
+   in some contexts, but not others.  Overall, it is not clear that the
+   impact on the security of signatures is significant.
+
+   Indeed, one can read in the press that SHA-1 is "broken" [Sha1] and
+   that encryption and SSL are "broken" [Res].  The media have a
+   tendency to magnify events: it would hardly be interesting to
+   announce in the news that a team of cryptanalysts did very
+   interesting theoretical work in attacking SHA-1.
+
+   Cryptographers are excited too.  But mainly because this is an
+   important theoretical breakthrough.  Attacks can only get better with
+   time: it is therefore important to monitor any progress in hash
+   functions cryptanalysis and be prepared for any really practical
+   break with a sound migration plan for the future.
+
+
+
+M'Raihi, et al.              Informational                     [Page 25]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+B.2.  HMAC-SHA-1 Status
+
+   The new attacks on SHA-1 have no impact on the security of
+   HMAC-SHA-1.  The best attack on the latter remains one needing a
+   sender to authenticate 2^{80} messages before an adversary can create
+   a forgery.  Why?
+
+   HMAC is not a hash function.  It is a message authentication code
+   (MAC) that uses a hash function internally.  A MAC depends on a
+   secret key, while hash functions don't.  What one needs to worry
+   about with a MAC is forgery, not collisions.  HMAC was designed so
+   that collisions in the hash function (here SHA-1) do not yield
+   forgeries for HMAC.
+
+   Recall that HMAC-SHA-1(K,x) = SHA-1(K_o,SHA-1(K_i,x)) where the keys
+   K_o,K_i are derived from K.  Suppose the attacker finds a pair x,y
+   such that SHA-1(K_i,x) = SHA-1(K_i,y).  (Call this a hidden-key
+   collision.)  Then if it can obtain the MAC of x (itself a tall
+   order), it can forge the MAC of y.  (These values are the same.)  But
+   finding hidden-key collisions is harder than finding collisions,
+   because the attacker does not know the hidden key K_i.  All it may
+   have is some outputs of HMAC-SHA-1 with key K.  To date, there are no
+   claims or evidence that the recent attacks on SHA-1 extend to find
+   hidden-key collisions.
+
+   Historically, the HMAC design has already proven itself in this
+   regard.  MD5 is considered broken in that collisions in this hash
+   function can be found relatively easily.  But there is still no
+   attack on HMAC-MD5 better than the trivial 2^{64} time birthday one.
+   (MD5 outputs 128 bits, not 160.)  We are seeing this strength of HMAC
+   coming into play again in the SHA-1 context.
+
+B.3.  HOTP Status
+
+   Since no new weakness has surfaced in HMAC-SHA-1, there is no impact
+   on HOTP.  The best attacks on HOTP remain those described in the
+   document, namely, to try to guess output values.
+
+   The security proof of HOTP requires that HMAC-SHA-1 behave like a
+   pseudorandom function.  The quality of HMAC-SHA-1 as a pseudorandom
+   function is not impacted by the new attacks on SHA-1, and so neither
+   is this proven guarantee.
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 26]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Appendix C - HOTP Algorithm: Reference Implementation
+
+   /*
+    * OneTimePasswordAlgorithm.java
+    * OATH Initiative,
+    * HOTP one-time password algorithm
+    *
+    */
+
+   /* Copyright (C) 2004, OATH.  All rights reserved.
+    *
+    * License to copy and use this software is granted provided that it
+    * is identified as the "OATH HOTP Algorithm" in all material
+    * mentioning or referencing this software or this function.
+    *
+    * License is also granted to make and use derivative works provided
+    * that such works are identified as
+    *  "derived from OATH HOTP algorithm"
+    * in all material mentioning or referencing the derived work.
+    *
+    * OATH (Open AuTHentication) and its members make no
+    * representations concerning either the merchantability of this
+    * software or the suitability of this software for any particular
+    * purpose.
+    *
+    * It is provided "as is" without express or implied warranty
+    * of any kind and OATH AND ITS MEMBERS EXPRESSaLY DISCLAIMS
+    * ANY WARRANTY OR LIABILITY OF ANY KIND relating to this software.
+    *
+    * These notices must be retained in any copies of any part of this
+    * documentation and/or software.
+    */
+
+   package org.openauthentication.otp;
+
+   import java.io.IOException;
+   import java.io.File;
+   import java.io.DataInputStream;
+   import java.io.FileInputStream ;
+   import java.lang.reflect.UndeclaredThrowableException;
+
+   import java.security.GeneralSecurityException;
+   import java.security.NoSuchAlgorithmException;
+   import java.security.InvalidKeyException;
+
+   import javax.crypto.Mac;
+   import javax.crypto.spec.SecretKeySpec;
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 27]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   /**
+    * This class contains static methods that are used to calculate the
+    * One-Time Password (OTP) using
+    * JCE to provide the HMAC-SHA-1.
+    *
+    * @author Loren Hart
+    * @version 1.0
+    */
+   public class OneTimePasswordAlgorithm {
+       private OneTimePasswordAlgorithm() {}
+
+       // These are used to calculate the check-sum digits.
+       //                                0  1  2  3  4  5  6  7  8  9
+       private static final int[] doubleDigits =
+                       { 0, 2, 4, 6, 8, 1, 3, 5, 7, 9 };
+
+       /**
+        * Calculates the checksum using the credit card algorithm.
+        * This algorithm has the advantage that it detects any single
+        * mistyped digit and any single transposition of
+        * adjacent digits.
+        *
+        * @param num the number to calculate the checksum for
+        * @param digits number of significant places in the number
+        *
+        * @return the checksum of num
+        */
+       public static int calcChecksum(long num, int digits) {
+           boolean doubleDigit = true;
+           int     total = 0;
+           while (0 < digits--) {
+               int digit = (int) (num % 10);
+               num /= 10;
+               if (doubleDigit) {
+                   digit = doubleDigits[digit];
+               }
+               total += digit;
+               doubleDigit = !doubleDigit;
+           }
+           int result = total % 10;
+           if (result > 0) {
+               result = 10 - result;
+           }
+           return result;
+       }
+
+       /**
+        * This method uses the JCE to provide the HMAC-SHA-1
+
+
+
+M'Raihi, et al.              Informational                     [Page 28]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+        * algorithm.
+        * HMAC computes a Hashed Message Authentication Code and
+        * in this case SHA1 is the hash algorithm used.
+        *
+        * @param keyBytes   the bytes to use for the HMAC-SHA-1 key
+        * @param text       the message or text to be authenticated.
+        *
+        * @throws NoSuchAlgorithmException if no provider makes
+        *       either HmacSHA1 or HMAC-SHA-1
+        *       digest algorithms available.
+        * @throws InvalidKeyException
+        *       The secret provided was not a valid HMAC-SHA-1 key.
+        *
+        */
+
+       public static byte[] hmac_sha1(byte[] keyBytes, byte[] text)
+           throws NoSuchAlgorithmException, InvalidKeyException
+       {
+   //        try {
+               Mac hmacSha1;
+               try {
+                   hmacSha1 = Mac.getInstance("HmacSHA1");
+               } catch (NoSuchAlgorithmException nsae) {
+                   hmacSha1 = Mac.getInstance("HMAC-SHA-1");
+               }
+               SecretKeySpec macKey =
+           new SecretKeySpec(keyBytes, "RAW");
+               hmacSha1.init(macKey);
+               return hmacSha1.doFinal(text);
+   //        } catch (GeneralSecurityException gse) {
+   //            throw new UndeclaredThrowableException(gse);
+   //        }
+       }
+
+       private static final int[] DIGITS_POWER
+     // 0 1  2   3    4     5      6       7        8
+     = {1,10,100,1000,10000,100000,1000000,10000000,100000000};
+
+       /**
+        * This method generates an OTP value for the given
+        * set of parameters.
+        *
+        * @param secret       the shared secret
+        * @param movingFactor the counter, time, or other value that
+        *                     changes on a per use basis.
+        * @param codeDigits   the number of digits in the OTP, not
+        *                     including the checksum, if any.
+        * @param addChecksum  a flag that indicates if a checksum digit
+
+
+
+M'Raihi, et al.              Informational                     [Page 29]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+        *                     should be appended to the OTP.
+        * @param truncationOffset the offset into the MAC result to
+        *                     begin truncation.  If this value is out of
+        *                     the range of 0 ... 15, then dynamic
+        *                     truncation  will be used.
+        *                     Dynamic truncation is when the last 4
+        *                     bits of the last byte of the MAC are
+        *                     used to determine the start offset.
+        * @throws NoSuchAlgorithmException if no provider makes
+        *                     either HmacSHA1 or HMAC-SHA-1
+        *                     digest algorithms available.
+        * @throws InvalidKeyException
+        *                     The secret provided was not
+        *                     a valid HMAC-SHA-1 key.
+        *
+        * @return A numeric String in base 10 that includes
+        * {@link codeDigits} digits plus the optional checksum
+        * digit if requested.
+        */
+       static public String generateOTP(byte[] secret,
+                  long movingFactor,
+             int codeDigits,
+                  boolean addChecksum,
+             int truncationOffset)
+           throws NoSuchAlgorithmException, InvalidKeyException
+       {
+           // put movingFactor value into text byte array
+     String result = null;
+     int digits = addChecksum ? (codeDigits + 1) : codeDigits;
+           byte[] text = new byte[8];
+           for (int i = text.length - 1; i >= 0; i--) {
+               text[i] = (byte) (movingFactor & 0xff);
+               movingFactor >>= 8;
+           }
+
+           // compute hmac hash
+           byte[] hash = hmac_sha1(secret, text);
+
+           // put selected bytes into result int
+           int offset = hash[hash.length - 1] & 0xf;
+     if ( (0<=truncationOffset) &&
+            (truncationOffset<(hash.length-4)) ) {
+         offset = truncationOffset;
+     }
+           int binary =
+               ((hash[offset] & 0x7f) << 24)
+               | ((hash[offset + 1] & 0xff) << 16)
+               | ((hash[offset + 2] & 0xff) << 8)
+
+
+
+M'Raihi, et al.              Informational                     [Page 30]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+               | (hash[offset + 3] & 0xff);
+
+           int otp = binary % DIGITS_POWER[codeDigits];
+     if (addChecksum) {
+         otp =  (otp * 10) + calcChecksum(otp, codeDigits);
+     }
+     result = Integer.toString(otp);
+     while (result.length() < digits) {
+         result = "0" + result;
+     }
+     return result;
+       }
+   }
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 31]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Appendix D - HOTP Algorithm: Test Values
+
+   The following test data uses the ASCII string
+   "12345678901234567890" for the secret:
+
+   Secret = 0x3132333435363738393031323334353637383930
+
+   Table 1 details for each count, the intermediate HMAC value.
+
+   Count    Hexadecimal HMAC-SHA-1(secret, count)
+   0        cc93cf18508d94934c64b65d8ba7667fb7cde4b0
+   1        75a48a19d4cbe100644e8ac1397eea747a2d33ab
+   2        0bacb7fa082fef30782211938bc1c5e70416ff44
+   3        66c28227d03a2d5529262ff016a1e6ef76557ece
+   4        a904c900a64b35909874b33e61c5938a8e15ed1c
+   5        a37e783d7b7233c083d4f62926c7a25f238d0316
+   6        bc9cd28561042c83f219324d3c607256c03272ae
+   7        a4fb960c0bc06e1eabb804e5b397cdc4b45596fa
+   8        1b3c89f65e6c9e883012052823443f048b4332db
+   9        1637409809a679dc698207310c8c7fc07290d9e5
+
+   Table 2 details for each count the truncated values (both in
+   hexadecimal and decimal) and then the HOTP value.
+
+                     Truncated
+   Count    Hexadecimal    Decimal        HOTP
+   0        4c93cf18       1284755224     755224
+   1        41397eea       1094287082     287082
+   2         82fef30        137359152     359152
+   3        66ef7655       1726969429     969429
+   4        61c5938a       1640338314     338314
+   5        33c083d4        868254676     254676
+   6        7256c032       1918287922     287922
+   7         4e5b397         82162583     162583
+   8        2823443f        673399871     399871
+   9        2679dc69        645520489     520489
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 32]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Appendix E - Extensions
+
+
+   We introduce in this section several enhancements to the HOTP
+   algorithm.  These are not recommended extensions or part of the
+   standard algorithm, but merely variations that could be used for
+   customized implementations.
+
+E.1.  Number of Digits
+
+   A simple enhancement in terms of security would be to extract more
+   digits from the HMAC-SHA-1 value.
+
+   For instance, calculating the HOTP value modulo 10^8 to build an 8-
+   digit HOTP value would reduce the probability of success of the
+   adversary from sv/10^6 to sv/10^8.
+
+   This could give the opportunity to improve usability, e.g., by
+   increasing T and/or s, while still achieving a better security
+   overall.  For instance, s = 10 and 10v/10^8 = v/10^7 < v/10^6 which
+   is the theoretical optimum for 6-digit code when s = 1.
+
+E.2.  Alphanumeric Values
+
+   Another option is to use A-Z and 0-9 values; or rather a subset of 32
+   symbols taken from the alphanumerical alphabet in order to avoid any
+   confusion between characters: 0, O, and Q as well as l, 1, and I are
+   very similar, and can look the same on a small display.
+
+   The immediate consequence is that the security is now in the order of
+   sv/32^6 for a 6-digit HOTP value and sv/32^8 for an 8-digit HOTP
+   value.
+
+   32^6 > 10^9 so the security of a 6-alphanumeric HOTP code is slightly
+   better than a 9-digit HOTP value, which is the maximum length of an
+   HOTP code supported by the proposed algorithm.
+
+   32^8 > 10^12 so the security of an 8-alphanumeric HOTP code is
+   significantly better than a 9-digit HOTP value.
+
+   Depending on the application and token/interface used for displaying
+   and entering the HOTP value, the choice of alphanumeric values could
+   be a simple and efficient way to improve security at a reduced cost
+   and impact on users.
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 33]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+E.3.  Sequence of HOTP Values
+
+   As we suggested for the resynchronization to enter a short sequence
+   (say, 2 or 3) of HOTP values, we could generalize the concept to the
+   protocol, and add a parameter L that would define the length of the
+   HOTP sequence to enter.
+
+   Per default, the value L SHOULD be set to 1, but if security needs to
+   be increased, users might be asked (possibly for a short period of
+   time, or a specific operation) to enter L HOTP values.
+
+   This is another way, without increasing the HOTP length or using
+   alphanumeric values to tighten security.
+
+   Note: The system MAY also be programmed to request synchronization on
+   a regular basis (e.g., every night, twice a week, etc.) and to
+   achieve this purpose, ask for a sequence of L HOTP values.
+
+E.4.  A Counter-Based Resynchronization Method
+
+   In this case, we assume that the client can access and send not only
+   the HOTP value but also other information, more specifically, the
+   counter value.
+
+   A more efficient and secure method for resynchronization is possible
+   in this case.  The client application will not send the HOTP-client
+   value only, but the HOTP-client and the related C-client counter
+   value, the HOTP value acting as a message authentication code of the
+   counter.
+
+   Resynchronization Counter-based Protocol (RCP)
+   ----------------------------------------------
+
+   The server accepts if the following are all true, where C-server is
+   its own current counter value:
+
+   1) C-client >= C-server
+   2) C-client - C-server <= s
+   3) Check that HOTP client is valid HOTP(K,C-Client)
+   4) If true, the server sets C to C-client + 1 and client is
+      authenticated
+
+   In this case, there is no need for managing a look-ahead window
+   anymore.  The probability of success of the adversary is only v/10^6
+   or roughly v in one million.  A side benefit is obviously to be able
+   to increase s "infinitely" and therefore improve the system usability
+   without impacting the security.
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 34]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+   This resynchronization protocol SHOULD be used whenever the related
+   impact on the client and server applications is deemed acceptable.
+
+E.5. Data Field
+
+   Another interesting option is the introduction of a Data field, which
+   would be used for generating the One-Time Password values: HOTP (K,
+   C, [Data]) where Data is an optional field that can be the
+   concatenation of various pieces of identity-related information,
+   e.g., Data = Address | PIN.
+
+   We could also use a Timer, either as the only moving factor or in
+   combination with the Counter -- in this case, e.g., Data = Timer,
+   where Timer could be the UNIX-time (GMT seconds since 1/1/1970)
+   divided by some factor (8, 16, 32, etc.) in order to give a specific
+   time step.  The time window for the One-Time Password is then equal
+   to the time step multiplied by the resynchronization parameter as
+   defined before.  For example, if we take 64 seconds as the time step
+   and 7 for the resynchronization parameter, we obtain an acceptance
+   window of +/- 3 minutes.
+
+   Using a Data field opens for more flexibility in the algorithm
+   implementation, provided that the Data field is clearly specified.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 35]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Authors' Addresses
+
+   David M'Raihi (primary contact for sending comments and questions)
+   VeriSign, Inc.
+   685 E. Middlefield Road
+   Mountain View, CA 94043 USA
+
+   Phone: 1-650-426-3832
+   EMail: dmraihi@verisign.com
+
+
+   Mihir Bellare
+   Dept of Computer Science and Engineering, Mail Code 0114
+   University of California at San Diego
+   9500 Gilman Drive
+   La Jolla, CA 92093, USA
+
+   EMail: mihir@cs.ucsd.edu
+
+
+   Frank Hoornaert
+   VASCO Data Security, Inc.
+   Koningin Astridlaan 164
+   1780 Wemmel, Belgium
+
+   EMail: frh@vasco.com
+
+
+   David Naccache
+   Gemplus Innovation
+   34 rue Guynemer, 92447,
+   Issy les Moulineaux, France
+   and
+   Information Security Group,
+   Royal Holloway,
+   University of London, Egham,
+   Surrey TW20 0EX, UK
+
+   EMail: david.naccache@gemplus.com, david.naccache@rhul.ac.uk
+
+
+   Ohad Ranen
+   Aladdin Knowledge Systems Ltd.
+   15 Beit Oved Street
+   Tel Aviv, Israel 61110
+
+   EMail: Ohad.Ranen@ealaddin.com
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 36]
+\f
+RFC 4226                     HOTP Algorithm                December 2005
+
+
+Full Copyright Statement
+
+   Copyright (C) The Internet Society (2005).
+
+   This document is subject to the rights, licenses and restrictions
+   contained in BCP 78, and except as set forth therein, the authors
+   retain all their rights.
+
+   This document and the information contained herein are provided on an
+   "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS
+   OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET
+   ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,
+   INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE
+   INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED
+   WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
+
+Intellectual Property
+
+   The IETF takes no position regarding the validity or scope of any
+   Intellectual Property Rights or other rights that might be claimed to
+   pertain to the implementation or use of the technology described in
+   this document or the extent to which any license under such rights
+   might or might not be available; nor does it represent that it has
+   made any independent effort to identify any such rights.  Information
+   on the procedures with respect to rights in RFC documents can be
+   found in BCP 78 and BCP 79.
+
+   Copies of IPR disclosures made to the IETF Secretariat and any
+   assurances of licenses to be made available, or the result of an
+   attempt made to obtain a general license or permission for the use of
+   such proprietary rights by implementers or users of this
+   specification can be obtained from the IETF on-line IPR repository at
+   http://www.ietf.org/ipr.
+
+   The IETF invites any interested party to bring to its attention any
+   copyrights, patents or patent applications, or other proprietary
+   rights that may cover technology that may be required to implement
+   this standard.  Please address the information to the IETF at ietf-
+   ipr@ietf.org.
+
+Acknowledgement
+
+   Funding for the RFC Editor function is currently provided by the
+   Internet Society.
+
+
+
+
+
+
+
+M'Raihi, et al.              Informational                     [Page 37]
+\f
diff --git a/reference/rfc6238.txt b/reference/rfc6238.txt
new file mode 100644 (file)
index 0000000..8c964f4
--- /dev/null
+++ b/reference/rfc6238.txt
@@ -0,0 +1,899 @@
+
+
+
+
+
+
+Internet Engineering Task Force (IETF)                        D. M'Raihi
+Request for Comments: 6238                                Verisign, Inc.
+Category: Informational                                       S. Machani
+ISSN: 2070-1721                                         Diversinet Corp.
+                                                                  M. Pei
+                                                                Symantec
+                                                               J. Rydell
+                                                          Portwise, Inc.
+                                                                May 2011
+
+
+              TOTP: Time-Based One-Time Password Algorithm
+
+Abstract
+
+   This document describes an extension of the One-Time Password (OTP)
+   algorithm, namely the HMAC-based One-Time Password (HOTP) algorithm,
+   as defined in RFC 4226, to support the time-based moving factor.  The
+   HOTP algorithm specifies an event-based OTP algorithm, where the
+   moving factor is an event counter.  The present work bases the moving
+   factor on a time value.  A time-based variant of the OTP algorithm
+   provides short-lived OTP values, which are desirable for enhanced
+   security.
+
+   The proposed algorithm can be used across a wide range of network
+   applications, from remote Virtual Private Network (VPN) access and
+   Wi-Fi network logon to transaction-oriented Web applications.  The
+   authors believe that a common and shared algorithm will facilitate
+   adoption of two-factor authentication on the Internet by enabling
+   interoperability across commercial and open-source implementations.
+
+Status of This Memo
+
+   This document is not an Internet Standards Track specification; it is
+   published for informational purposes.
+
+   This document is a product of the Internet Engineering Task Force
+   (IETF).  It represents the consensus of the IETF community.  It has
+   received public review and has been approved for publication by the
+   Internet Engineering Steering Group (IESG).  Not all documents
+   approved by the IESG are a candidate for any level of Internet
+   Standard; see Section 2 of RFC 5741.
+
+   Information about the current status of this document, any errata,
+   and how to provide feedback on it may be obtained at
+   http://www.rfc-editor.org/info/rfc6238.
+
+
+
+
+
+M'Raihi, et al.               Informational                     [Page 1]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+Copyright Notice
+
+   Copyright (c) 2011 IETF Trust and the persons identified as the
+   document authors.  All rights reserved.
+
+   This document is subject to BCP 78 and the IETF Trust's Legal
+   Provisions Relating to IETF Documents
+   (http://trustee.ietf.org/license-info) in effect on the date of
+   publication of this document.  Please review these documents
+   carefully, as they describe your rights and restrictions with respect
+   to this document.  Code Components extracted from this document must
+   include Simplified BSD License text as described in Section 4.e of
+   the Trust Legal Provisions and are provided without warranty as
+   described in the Simplified BSD License.
+
+Table of Contents
+
+   1. Introduction ....................................................2
+      1.1. Scope ......................................................2
+      1.2. Background .................................................3
+   2. Notation and Terminology ........................................3
+   3. Algorithm Requirements ..........................................3
+   4. TOTP Algorithm ..................................................4
+      4.1. Notations ..................................................4
+      4.2. Description ................................................4
+   5. Security Considerations .........................................5
+      5.1. General ....................................................5
+      5.2. Validation and Time-Step Size ..............................6
+   6. Resynchronization ...............................................7
+   7. Acknowledgements ................................................7
+   8. References ......................................................8
+      8.1. Normative References .......................................8
+      8.2. Informative References .....................................8
+   Appendix A. TOTP Algorithm: Reference Implementation ...............9
+   Appendix B. Test Vectors ..........................................14
+
+1.  Introduction
+
+1.1.  Scope
+
+   This document describes an extension of the One-Time Password (OTP)
+   algorithm, namely the HMAC-based One-Time Password (HOTP) algorithm,
+   as defined in [RFC4226], to support the time-based moving factor.
+
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                     [Page 2]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+1.2.  Background
+
+   As defined in [RFC4226], the HOTP algorithm is based on the
+   HMAC-SHA-1 algorithm (as specified in [RFC2104]) and applied to an
+   increasing counter value representing the message in the HMAC
+   computation.
+
+   Basically, the output of the HMAC-SHA-1 calculation is truncated to
+   obtain user-friendly values:
+
+      HOTP(K,C) = Truncate(HMAC-SHA-1(K,C))
+
+   where Truncate represents the function that can convert an HMAC-SHA-1
+   value into an HOTP value.  K and C represent the shared secret and
+   counter value; see [RFC4226] for detailed definitions.
+
+   TOTP is the time-based variant of this algorithm, where a value T,
+   derived from a time reference and a time step, replaces the counter C
+   in the HOTP computation.
+
+   TOTP implementations MAY use HMAC-SHA-256 or HMAC-SHA-512 functions,
+   based on SHA-256 or SHA-512 [SHA2] hash functions, instead of the
+   HMAC-SHA-1 function that has been specified for the HOTP computation
+   in [RFC4226].
+
+2.  Notation and Terminology
+
+   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
+   "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
+   document are to be interpreted as described in [RFC2119].
+
+3.  Algorithm Requirements
+
+   This section summarizes the requirements taken into account for
+   designing the TOTP algorithm.
+
+   R1: The prover (e.g., token, soft token) and verifier (authentication
+       or validation server) MUST know or be able to derive the current
+       Unix time (i.e., the number of seconds elapsed since midnight UTC
+       of January 1, 1970) for OTP generation.  See [UT] for a more
+       detailed definition of the commonly known "Unix time".  The
+       precision of the time used by the prover affects how often the
+       clock synchronization should be done; see Section 6.
+
+   R2: The prover and verifier MUST either share the same secret or the
+       knowledge of a secret transformation to generate a shared secret.
+
+   R3: The algorithm MUST use HOTP [RFC4226] as a key building block.
+
+
+
+M'Raihi, et al.               Informational                     [Page 3]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+   R4: The prover and verifier MUST use the same time-step value X.
+
+   R5: There MUST be a unique secret (key) for each prover.
+
+   R6: The keys SHOULD be randomly generated or derived using key
+       derivation algorithms.
+
+   R7: The keys MAY be stored in a tamper-resistant device and SHOULD be
+       protected against unauthorized access and usage.
+
+4.  TOTP Algorithm
+
+   This variant of the HOTP algorithm specifies the calculation of a
+   one-time password value, based on a representation of the counter as
+   a time factor.
+
+4.1.  Notations
+
+   o  X represents the time step in seconds (default value X =
+      30 seconds) and is a system parameter.
+
+   o  T0 is the Unix time to start counting time steps (default value is
+      0, i.e., the Unix epoch) and is also a system parameter.
+
+4.2.  Description
+
+   Basically, we define TOTP as TOTP = HOTP(K, T), where T is an integer
+   and represents the number of time steps between the initial counter
+   time T0 and the current Unix time.
+
+   More specifically, T = (Current Unix time - T0) / X, where the
+   default floor function is used in the computation.
+
+   For example, with T0 = 0 and Time Step X = 30, T = 1 if the current
+   Unix time is 59 seconds, and T = 2 if the current Unix time is
+   60 seconds.
+
+   The implementation of this algorithm MUST support a time value T
+   larger than a 32-bit integer when it is beyond the year 2038.  The
+   value of the system parameters X and T0 are pre-established during
+   the provisioning process and communicated between a prover and
+   verifier as part of the provisioning step.  The provisioning flow is
+   out of scope of this document; refer to [RFC6030] for such
+   provisioning container specifications.
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                     [Page 4]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+5.  Security Considerations
+
+5.1.  General
+
+   The security and strength of this algorithm depend on the properties
+   of the underlying building block HOTP, which is a construction based
+   on HMAC [RFC2104] using SHA-1 as the hash function.
+
+   The conclusion of the security analysis detailed in [RFC4226] is
+   that, for all practical purposes, the outputs of the dynamic
+   truncation on distinct inputs are uniformly and independently
+   distributed strings.
+
+   The analysis demonstrates that the best possible attack against the
+   HOTP function is the brute force attack.
+
+   As indicated in the algorithm requirement section, keys SHOULD be
+   chosen at random or using a cryptographically strong pseudorandom
+   generator properly seeded with a random value.
+
+   Keys SHOULD be of the length of the HMAC output to facilitate
+   interoperability.
+
+   We RECOMMEND following the recommendations in [RFC4086] for all
+   pseudorandom and random number generations.  The pseudorandom numbers
+   used for generating the keys SHOULD successfully pass the randomness
+   test specified in [CN], or a similar well-recognized test.
+
+   All the communications SHOULD take place over a secure channel, e.g.,
+   Secure Socket Layer/Transport Layer Security (SSL/TLS) [RFC5246] or
+   IPsec connections [RFC4301].
+
+   We also RECOMMEND storing the keys securely in the validation system,
+   and, more specifically, encrypting them using tamper-resistant
+   hardware encryption and exposing them only when required: for
+   example, the key is decrypted when needed to verify an OTP value, and
+   re-encrypted immediately to limit exposure in the RAM to a short
+   period of time.
+
+   The key store MUST be in a secure area, to avoid, as much as
+   possible, direct attack on the validation system and secrets
+   database.  Particularly, access to the key material should be limited
+   to programs and processes required by the validation system only.
+
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                     [Page 5]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+5.2.  Validation and Time-Step Size
+
+   An OTP generated within the same time step will be the same.  When an
+   OTP is received at a validation system, it doesn't know a client's
+   exact timestamp when an OTP was generated.  The validation system may
+   typically use the timestamp when an OTP is received for OTP
+   comparison.  Due to network latency, the gap (as measured by T, that
+   is, the number of time steps since T0) between the time that the OTP
+   was generated and the time that the OTP arrives at the receiving
+   system may be large.  The receiving time at the validation system and
+   the actual OTP generation may not fall within the same time-step
+   window that produced the same OTP.  When an OTP is generated at the
+   end of a time-step window, the receiving time most likely falls into
+   the next time-step window.  A validation system SHOULD typically set
+   a policy for an acceptable OTP transmission delay window for
+   validation.  The validation system should compare OTPs not only with
+   the receiving timestamp but also the past timestamps that are within
+   the transmission delay.  A larger acceptable delay window would
+   expose a larger window for attacks.  We RECOMMEND that at most one
+   time step is allowed as the network delay.
+
+   The time-step size has an impact on both security and usability.  A
+   larger time-step size means a larger validity window for an OTP to be
+   accepted by a validation system.  There are implications for using a
+   larger time-step size, as follows:
+
+   First, a larger time-step size exposes a larger window to attack.
+   When an OTP is generated and exposed to a third party before it is
+   consumed, the third party can consume the OTP within the time-step
+   window.
+
+   We RECOMMEND a default time-step size of 30 seconds.  This default
+   value of 30 seconds is selected as a balance between security and
+   usability.
+
+   Second, the next different OTP must be generated in the next time-
+   step window.  A user must wait until the clock moves to the next
+   time-step window from the last submission.  The waiting time may not
+   be exactly the length of the time step, depending on when the last
+   OTP was generated.  For example, if the last OTP was generated at the
+   halfway point in a time-step window, the waiting time for the next
+   OTP is half the length of the time step.  In general, a larger time-
+   step window means a longer waiting time for a user to get the next
+   valid OTP after the last successful OTP validation.  A too-large
+   window (for example, 10 minutes) most probably won't be suitable for
+   typical Internet login use cases; a user may not be able to get the
+   next OTP within 10 minutes and therefore will have to re-login to the
+   same site in 10 minutes.
+
+
+
+M'Raihi, et al.               Informational                     [Page 6]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+   Note that a prover may send the same OTP inside a given time-step
+   window multiple times to a verifier.  The verifier MUST NOT accept
+   the second attempt of the OTP after the successful validation has
+   been issued for the first OTP, which ensures one-time only use of an
+   OTP.
+
+6.  Resynchronization
+
+   Because of possible clock drifts between a client and a validation
+   server, we RECOMMEND that the validator be set with a specific limit
+   to the number of time steps a prover can be "out of synch" before
+   being rejected.
+
+   This limit can be set both forward and backward from the calculated
+   time step on receipt of the OTP value.  If the time step is
+   30 seconds as recommended, and the validator is set to only accept
+   two time steps backward, then the maximum elapsed time drift would be
+   around 89 seconds, i.e., 29 seconds in the calculated time step and
+   60 seconds for two backward time steps.
+
+   This would mean the validator could perform a validation against the
+   current time and then two further validations for each backward step
+   (for a total of 3 validations).  Upon successful validation, the
+   validation server can record the detected clock drift for the token
+   in terms of the number of time steps.  When a new OTP is received
+   after this step, the validator can validate the OTP with the current
+   timestamp adjusted with the recorded number of time-step clock drifts
+   for the token.
+
+   Also, it is important to note that the longer a prover has not sent
+   an OTP to a validation system, the longer (potentially) the
+   accumulated clock drift between the prover and the verifier.  In such
+   cases, the automatic resynchronization described above may not work
+   if the drift exceeds the allowed threshold.  Additional
+   authentication measures should be used to safely authenticate the
+   prover and explicitly resynchronize the clock drift between the
+   prover and the validator.
+
+7.  Acknowledgements
+
+   The authors of this document would like to thank the following people
+   for their contributions and support to make this a better
+   specification: Hannes Tschofenig, Jonathan Tuliani, David Dix,
+   Siddharth Bajaj, Stu Veath, Shuh Chang, Oanh Hoang, John Huang, and
+   Siddhartha Mohapatra.
+
+
+
+
+
+
+M'Raihi, et al.               Informational                     [Page 7]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+8.  References
+
+8.1.  Normative References
+
+   [RFC2104]  Krawczyk, H., Bellare, M., and R. Canetti, "HMAC: Keyed-
+              Hashing for Message Authentication", RFC 2104,
+              February 1997.
+
+   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
+              Requirement Levels", BCP 14, RFC 2119, March 1997.
+
+   [RFC4086]  Eastlake 3rd, D., Schiller, J., and S. Crocker,
+              "Randomness Recommendations for Security", BCP 106,
+              RFC 4086, June 2005.
+
+   [RFC4226]  M'Raihi, D., Bellare, M., Hoornaert, F., Naccache, D., and
+              O. Ranen, "HOTP: An HMAC-Based One-Time Password
+              Algorithm", RFC 4226, December 2005.
+
+   [SHA2]     NIST, "FIPS PUB 180-3: Secure Hash Standard (SHS)",
+              October 2008, <http://csrc.nist.gov/publications/fips/
+              fips180-3/fips180-3_final.pdf>.
+
+8.2.  Informative References
+
+   [CN]       Coron, J. and D. Naccache, "An Accurate Evaluation of
+              Maurer's Universal Test", LNCS 1556, February 1999,
+              <http://www.gemplus.com/smart/rd/publications/pdf/
+              CN99maur.pdf>.
+
+   [RFC4301]  Kent, S. and K. Seo, "Security Architecture for the
+              Internet Protocol", RFC 4301, December 2005.
+
+   [RFC5246]  Dierks, T. and E. Rescorla, "The Transport Layer Security
+              (TLS) Protocol Version 1.2", RFC 5246, August 2008.
+
+   [RFC6030]  Hoyer, P., Pei, M., and S. Machani, "Portable Symmetric
+              Key Container (PSKC)", RFC 6030, October 2010.
+
+   [UT]       Wikipedia, "Unix time", February 2011,
+              <http://en.wikipedia.org/wiki/Unix_time>.
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                     [Page 8]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+Appendix A.  TOTP Algorithm: Reference Implementation
+
+ <CODE BEGINS>
+
+ /**
+ Copyright (c) 2011 IETF Trust and the persons identified as
+ authors of the code. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without
+ modification, is permitted pursuant to, and subject to the license
+ terms contained in, the Simplified BSD License set forth in Section
+ 4.c of the IETF Trust's Legal Provisions Relating to IETF Documents
+ (http://trustee.ietf.org/license-info).
+ */
+
+ import java.lang.reflect.UndeclaredThrowableException;
+ import java.security.GeneralSecurityException;
+ import java.text.DateFormat;
+ import java.text.SimpleDateFormat;
+ import java.util.Date;
+ import javax.crypto.Mac;
+ import javax.crypto.spec.SecretKeySpec;
+ import java.math.BigInteger;
+ import java.util.TimeZone;
+
+
+ /**
+  * This is an example implementation of the OATH
+  * TOTP algorithm.
+  * Visit www.openauthentication.org for more information.
+  *
+  * @author Johan Rydell, PortWise, Inc.
+  */
+
+ public class TOTP {
+
+     private TOTP() {}
+
+     /**
+      * This method uses the JCE to provide the crypto algorithm.
+      * HMAC computes a Hashed Message Authentication Code with the
+      * crypto hash algorithm as a parameter.
+      *
+      * @param crypto: the crypto algorithm (HmacSHA1, HmacSHA256,
+      *                             HmacSHA512)
+      * @param keyBytes: the bytes to use for the HMAC key
+      * @param text: the message or text to be authenticated
+      */
+
+
+
+M'Raihi, et al.               Informational                     [Page 9]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+     private static byte[] hmac_sha(String crypto, byte[] keyBytes,
+             byte[] text){
+         try {
+             Mac hmac;
+             hmac = Mac.getInstance(crypto);
+             SecretKeySpec macKey =
+                 new SecretKeySpec(keyBytes, "RAW");
+             hmac.init(macKey);
+             return hmac.doFinal(text);
+         } catch (GeneralSecurityException gse) {
+             throw new UndeclaredThrowableException(gse);
+         }
+     }
+
+
+     /**
+      * This method converts a HEX string to Byte[]
+      *
+      * @param hex: the HEX string
+      *
+      * @return: a byte array
+      */
+
+     private static byte[] hexStr2Bytes(String hex){
+         // Adding one byte to get the right conversion
+         // Values starting with "0" can be converted
+         byte[] bArray = new BigInteger("10" + hex,16).toByteArray();
+
+         // Copy all the REAL bytes, not the "first"
+         byte[] ret = new byte[bArray.length - 1];
+         for (int i = 0; i < ret.length; i++)
+             ret[i] = bArray[i+1];
+         return ret;
+     }
+
+     private static final int[] DIGITS_POWER
+     // 0 1  2   3    4     5      6       7        8
+     = {1,10,100,1000,10000,100000,1000000,10000000,100000000 };
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                    [Page 10]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+     /**
+      * This method generates a TOTP value for the given
+      * set of parameters.
+      *
+      * @param key: the shared secret, HEX encoded
+      * @param time: a value that reflects a time
+      * @param returnDigits: number of digits to return
+      *
+      * @return: a numeric String in base 10 that includes
+      *              {@link truncationDigits} digits
+      */
+
+     public static String generateTOTP(String key,
+             String time,
+             String returnDigits){
+         return generateTOTP(key, time, returnDigits, "HmacSHA1");
+     }
+
+
+     /**
+      * This method generates a TOTP value for the given
+      * set of parameters.
+      *
+      * @param key: the shared secret, HEX encoded
+      * @param time: a value that reflects a time
+      * @param returnDigits: number of digits to return
+      *
+      * @return: a numeric String in base 10 that includes
+      *              {@link truncationDigits} digits
+      */
+
+     public static String generateTOTP256(String key,
+             String time,
+             String returnDigits){
+         return generateTOTP(key, time, returnDigits, "HmacSHA256");
+     }
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                    [Page 11]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+     /**
+      * This method generates a TOTP value for the given
+      * set of parameters.
+      *
+      * @param key: the shared secret, HEX encoded
+      * @param time: a value that reflects a time
+      * @param returnDigits: number of digits to return
+      *
+      * @return: a numeric String in base 10 that includes
+      *              {@link truncationDigits} digits
+      */
+
+     public static String generateTOTP512(String key,
+             String time,
+             String returnDigits){
+         return generateTOTP(key, time, returnDigits, "HmacSHA512");
+     }
+
+
+     /**
+      * This method generates a TOTP value for the given
+      * set of parameters.
+      *
+      * @param key: the shared secret, HEX encoded
+      * @param time: a value that reflects a time
+      * @param returnDigits: number of digits to return
+      * @param crypto: the crypto function to use
+      *
+      * @return: a numeric String in base 10 that includes
+      *              {@link truncationDigits} digits
+      */
+
+     public static String generateTOTP(String key,
+             String time,
+             String returnDigits,
+             String crypto){
+         int codeDigits = Integer.decode(returnDigits).intValue();
+         String result = null;
+
+         // Using the counter
+         // First 8 bytes are for the movingFactor
+         // Compliant with base RFC 4226 (HOTP)
+         while (time.length() < 16 )
+             time = "0" + time;
+
+         // Get the HEX in a Byte[]
+         byte[] msg = hexStr2Bytes(time);
+         byte[] k = hexStr2Bytes(key);
+
+
+
+M'Raihi, et al.               Informational                    [Page 12]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+         byte[] hash = hmac_sha(crypto, k, msg);
+
+         // put selected bytes into result int
+         int offset = hash[hash.length - 1] & 0xf;
+
+         int binary =
+             ((hash[offset] & 0x7f) << 24) |
+             ((hash[offset + 1] & 0xff) << 16) |
+             ((hash[offset + 2] & 0xff) << 8) |
+             (hash[offset + 3] & 0xff);
+
+         int otp = binary % DIGITS_POWER[codeDigits];
+
+         result = Integer.toString(otp);
+         while (result.length() < codeDigits) {
+             result = "0" + result;
+         }
+         return result;
+     }
+
+     public static void main(String[] args) {
+         // Seed for HMAC-SHA1 - 20 bytes
+         String seed = "3132333435363738393031323334353637383930";
+         // Seed for HMAC-SHA256 - 32 bytes
+         String seed32 = "3132333435363738393031323334353637383930" +
+         "313233343536373839303132";
+         // Seed for HMAC-SHA512 - 64 bytes
+         String seed64 = "3132333435363738393031323334353637383930" +
+         "3132333435363738393031323334353637383930" +
+         "3132333435363738393031323334353637383930" +
+         "31323334";
+         long T0 = 0;
+         long X = 30;
+         long testTime[] = {59L, 1111111109L, 1111111111L,
+                 1234567890L, 2000000000L, 20000000000L};
+
+         String steps = "0";
+         DateFormat df = new SimpleDateFormat("yyyy-MM-dd HH:mm:ss");
+         df.setTimeZone(TimeZone.getTimeZone("UTC"));
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                    [Page 13]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+         try {
+             System.out.println(
+                     "+---------------+-----------------------+" +
+             "------------------+--------+--------+");
+             System.out.println(
+                     "|  Time(sec)    |   Time (UTC format)   " +
+             "| Value of T(Hex)  |  TOTP  | Mode   |");
+             System.out.println(
+                     "+---------------+-----------------------+" +
+             "------------------+--------+--------+");
+
+             for (int i=0; i<testTime.length; i++) {
+                 long T = (testTime[i] - T0)/X;
+                 steps = Long.toHexString(T).toUpperCase();
+                 while (steps.length() < 16) steps = "0" + steps;
+                 String fmtTime = String.format("%1$-11s", testTime[i]);
+                 String utcTime = df.format(new Date(testTime[i]*1000));
+                 System.out.print("|  " + fmtTime + "  |  " + utcTime +
+                         "  | " + steps + " |");
+                 System.out.println(generateTOTP(seed, steps, "8",
+                 "HmacSHA1") + "| SHA1   |");
+                 System.out.print("|  " + fmtTime + "  |  " + utcTime +
+                         "  | " + steps + " |");
+                 System.out.println(generateTOTP(seed32, steps, "8",
+                 "HmacSHA256") + "| SHA256 |");
+                 System.out.print("|  " + fmtTime + "  |  " + utcTime +
+                         "  | " + steps + " |");
+                 System.out.println(generateTOTP(seed64, steps, "8",
+                 "HmacSHA512") + "| SHA512 |");
+
+                 System.out.println(
+                         "+---------------+-----------------------+" +
+                 "------------------+--------+--------+");
+             }
+         }catch (final Exception e){
+             System.out.println("Error : " + e);
+         }
+     }
+ }
+
+ <CODE ENDS>
+
+Appendix B.  Test Vectors
+
+   This section provides test values that can be used for the HOTP time-
+   based variant algorithm interoperability test.
+
+
+
+
+
+M'Raihi, et al.               Informational                    [Page 14]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+   The test token shared secret uses the ASCII string value
+   "12345678901234567890".  With Time Step X = 30, and the Unix epoch as
+   the initial value to count time steps, where T0 = 0, the TOTP
+   algorithm will display the following values for specified modes and
+   timestamps.
+
+  +-------------+--------------+------------------+----------+--------+
+  |  Time (sec) |   UTC Time   | Value of T (hex) |   TOTP   |  Mode  |
+  +-------------+--------------+------------------+----------+--------+
+  |      59     |  1970-01-01  | 0000000000000001 | 94287082 |  SHA1  |
+  |             |   00:00:59   |                  |          |        |
+  |      59     |  1970-01-01  | 0000000000000001 | 46119246 | SHA256 |
+  |             |   00:00:59   |                  |          |        |
+  |      59     |  1970-01-01  | 0000000000000001 | 90693936 | SHA512 |
+  |             |   00:00:59   |                  |          |        |
+  |  1111111109 |  2005-03-18  | 00000000023523EC | 07081804 |  SHA1  |
+  |             |   01:58:29   |                  |          |        |
+  |  1111111109 |  2005-03-18  | 00000000023523EC | 68084774 | SHA256 |
+  |             |   01:58:29   |                  |          |        |
+  |  1111111109 |  2005-03-18  | 00000000023523EC | 25091201 | SHA512 |
+  |             |   01:58:29   |                  |          |        |
+  |  1111111111 |  2005-03-18  | 00000000023523ED | 14050471 |  SHA1  |
+  |             |   01:58:31   |                  |          |        |
+  |  1111111111 |  2005-03-18  | 00000000023523ED | 67062674 | SHA256 |
+  |             |   01:58:31   |                  |          |        |
+  |  1111111111 |  2005-03-18  | 00000000023523ED | 99943326 | SHA512 |
+  |             |   01:58:31   |                  |          |        |
+  |  1234567890 |  2009-02-13  | 000000000273EF07 | 89005924 |  SHA1  |
+  |             |   23:31:30   |                  |          |        |
+  |  1234567890 |  2009-02-13  | 000000000273EF07 | 91819424 | SHA256 |
+  |             |   23:31:30   |                  |          |        |
+  |  1234567890 |  2009-02-13  | 000000000273EF07 | 93441116 | SHA512 |
+  |             |   23:31:30   |                  |          |        |
+  |  2000000000 |  2033-05-18  | 0000000003F940AA | 69279037 |  SHA1  |
+  |             |   03:33:20   |                  |          |        |
+  |  2000000000 |  2033-05-18  | 0000000003F940AA | 90698825 | SHA256 |
+  |             |   03:33:20   |                  |          |        |
+  |  2000000000 |  2033-05-18  | 0000000003F940AA | 38618901 | SHA512 |
+  |             |   03:33:20   |                  |          |        |
+  | 20000000000 |  2603-10-11  | 0000000027BC86AA | 65353130 |  SHA1  |
+  |             |   11:33:20   |                  |          |        |
+  | 20000000000 |  2603-10-11  | 0000000027BC86AA | 77737706 | SHA256 |
+  |             |   11:33:20   |                  |          |        |
+  | 20000000000 |  2603-10-11  | 0000000027BC86AA | 47863826 | SHA512 |
+  |             |   11:33:20   |                  |          |        |
+  +-------------+--------------+------------------+----------+--------+
+
+                            Table 1: TOTP Table
+
+
+
+M'Raihi, et al.               Informational                    [Page 15]
+\f
+RFC 6238                      HOTPTimeBased                     May 2011
+
+
+Authors' Addresses
+
+   David M'Raihi
+   Verisign, Inc.
+   685 E. Middlefield Road
+   Mountain View, CA  94043
+   USA
+
+   EMail: davidietf@gmail.com
+
+
+   Salah Machani
+   Diversinet Corp.
+   2225 Sheppard Avenue East, Suite 1801
+   Toronto, Ontario  M2J 5C2
+   Canada
+
+   EMail: smachani@diversinet.com
+
+
+   Mingliang Pei
+   Symantec
+   510 E. Middlefield Road
+   Mountain View, CA  94043
+   USA
+
+   EMail: Mingliang_Pei@symantec.com
+
+
+   Johan Rydell
+   Portwise, Inc.
+   275 Hawthorne Ave., Suite 119
+   Palo Alto, CA  94301
+   USA
+
+   EMail: johanietf@gmail.com
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+M'Raihi, et al.               Informational                    [Page 16]
+\f
diff --git a/test/hotp.js b/test/hotp.js
new file mode 100644 (file)
index 0000000..f79f816
--- /dev/null
+++ b/test/hotp.js
@@ -0,0 +1,83 @@
+/* eslint-env: mocha */
+'use strict';
+
+const assert = require('assert');
+const HOTP = require('../lib/hotp');
+
+describe('HOTP', function () {
+  let options, hotp;
+
+  const tests = [
+    { count: 0n, hmac: Buffer.from('cc93cf18508d94934c64b65d8ba7667fb7cde4b0', 'hex'), hex: '4c93cf18', dec: 1284755224, hotp: '755224' },
+    { count: 1n, hmac: Buffer.from('75a48a19d4cbe100644e8ac1397eea747a2d33ab', 'hex'), hex: '41397eea', dec: 1094287082, hotp: '287082' },
+    { count: 2n, hmac: Buffer.from('0bacb7fa082fef30782211938bc1c5e70416ff44', 'hex'), hex: '82fef30',  dec:  137359152, hotp: '359152' },
+    { count: 3n, hmac: Buffer.from('66c28227d03a2d5529262ff016a1e6ef76557ece', 'hex'), hex: '66ef7655', dec: 1726969429, hotp: '969429' },
+    { count: 4n, hmac: Buffer.from('a904c900a64b35909874b33e61c5938a8e15ed1c', 'hex'), hex: '61c5938a', dec: 1640338314, hotp: '338314' },
+    { count: 5n, hmac: Buffer.from('a37e783d7b7233c083d4f62926c7a25f238d0316', 'hex'), hex: '33c083d4', dec:  868254676, hotp: '254676' },
+    { count: 6n, hmac: Buffer.from('bc9cd28561042c83f219324d3c607256c03272ae', 'hex'), hex: '7256c032', dec: 1918287922, hotp: '287922' },
+    { count: 7n, hmac: Buffer.from('a4fb960c0bc06e1eabb804e5b397cdc4b45596fa', 'hex'), hex: '4e5b397',  dec:   82162583, hotp: '162583' },
+    { count: 8n, hmac: Buffer.from('1b3c89f65e6c9e883012052823443f048b4332db', 'hex'), hex: '2823443f', dec:  673399871, hotp: '399871' },
+    { count: 9n, hmac: Buffer.from('1637409809a679dc698207310c8c7fc07290d9e5', 'hex'), hex: '2679dc69', dec:  645520489, hotp: '520489' },
+  ];
+
+  beforeEach(function () {
+    options = {
+      key: Buffer.from('12345678901234567890'),
+    };
+    hotp = new HOTP(options);
+  });
+
+  describe('constructor', function () {
+    it('covers invalid key', function () {
+      options.key = Buffer.from('blah');
+      assert.throws(() => new HOTP(options), RangeError);
+    });
+    it('covers invalid algorithm', function () {
+      options.algorithm = 'md5';
+      assert.throws(() => new HOTP(options), RangeError);
+    });
+    it('covers missing options', function () {
+      assert.throws(() => new HOTP());
+    });
+    it('covers counter', function () {
+      options.counter = 4;
+      hotp = new HOTP(options);
+      assert.strictEqual(hotp.counter, 4n);
+    });
+  }); // constructor
+
+  it('_hmac sanity', function () {
+    for (const test of tests) {
+      const result = hotp._hmac(test.count);
+      assert.strictEqual(Buffer.compare(result, test.hmac), 0, `count: ${test.count} result: ${result.toString('hex')} expected: ${test.hmac.toString('hex')}`);
+    }
+  }); // _hmac sanity
+
+  it('_truncate sanity', function () {
+    for (const test of tests) {
+      const result = hotp._truncate(test.count);
+      assert.strictEqual(result, test.dec, `count: ${test.count} result: ${result} expected: ${test.dec} (hex: ${result.toString(16)} hexpected: ${test.hex})`);
+    }
+  }); // _truncate sanity
+
+  it('generate', function () {
+    for (const test of tests) {
+      const result = hotp.generate();
+      assert.strictEqual(result, test.hotp, `count: ${test.count} htop.counter: ${hotp.counter} result: ${result} expected: ${test.hotp}`);
+      assert.strictEqual(hotp.counter, test.count + 1n);
+    }
+  }); // generate
+
+  it('covers generate with count', function () {
+    const result = hotp.generate(3n);
+    assert.strictEqual(result, tests[3].hotp);
+  }); // generate coverage
+
+  describe('validate', function () {
+    it('accepts correct hotp', function () {
+      const result = hotp.validate(tests[2].hotp, 2n);
+      assert.strictEqual(result, true);
+    });
+  }); // validate
+
+}); // HOTP
\ No newline at end of file
diff --git a/test/totp.js b/test/totp.js
new file mode 100644 (file)
index 0000000..8c08bbf
--- /dev/null
+++ b/test/totp.js
@@ -0,0 +1,139 @@
+/* eslint-env mocha */
+'use strict';
+
+const assert = require('assert');
+const sinon = require('sinon');
+const TOTP = require('../lib/totp');
+
+describe('TOTP', function () {
+  let options, totp;
+
+  const tests = [
+    { epoch: 59,          count: BigInt(0x1),        algorithm: 'sha1',   totp: '94287082' },
+    { epoch: 59,          count: BigInt(0x1),        algorithm: 'sha256', totp: '46119246' },
+    { epoch: 59,          count: BigInt(0x1),        algorithm: 'sha512', totp: '90693936' },
+    { epoch: 1111111109,  count: BigInt(0x23523EC),  algorithm: 'sha1',   totp: '07081804' },
+    { epoch: 1111111109,  count: BigInt(0x23523EC),  algorithm: 'sha256', totp: '68084774' },
+    { epoch: 1111111109,  count: BigInt(0x23523EC),  algorithm: 'sha512', totp: '25091201' },
+    { epoch: 1111111111,  count: BigInt(0x23523ED),  algorithm: 'sha1',   totp: '14050471' },
+    { epoch: 1111111111,  count: BigInt(0x23523ED),  algorithm: 'sha256', totp: '67062674' },
+    { epoch: 1111111111,  count: BigInt(0x23523ED),  algorithm: 'sha512', totp: '99943326' },
+    { epoch: 1234567890,  count: BigInt(0x273EF07),  algorithm: 'sha1',   totp: '89005924' },
+    { epoch: 1234567890,  count: BigInt(0x273EF07),  algorithm: 'sha256', totp: '91819424' },
+    { epoch: 1234567890,  count: BigInt(0x273EF07),  algorithm: 'sha512', totp: '93441116' },
+    { epoch: 2000000000,  count: BigInt(0x3F940AA),  algorithm: 'sha1',   totp: '69279037' },
+    { epoch: 2000000000,  count: BigInt(0x3F940AA),  algorithm: 'sha256', totp: '90698825' },
+    { epoch: 2000000000,  count: BigInt(0x3F940AA),  algorithm: 'sha512', totp: '38618901' },
+    { epoch: 20000000000, count: BigInt(0x27BC86AA), algorithm: 'sha1',   totp: '65353130' },
+    { epoch: 20000000000, count: BigInt(0x27BC86AA), algorithm: 'sha256', totp: '77737706' },
+    { epoch: 20000000000, count: BigInt(0x27BC86AA), algorithm: 'sha512', totp: '47863826' },
+  ];
+
+  const algorithmKeys = {
+    'sha1':   Buffer.from('12345678901234567890'),
+    'sha256': Buffer.from('12345678901234567890123456789012'),
+    'sha512': Buffer.from('1234567890123456789012345678901234567890123456789012345678901234'),
+  };
+
+  beforeEach(function () {
+    sinon.restore();
+    options = {
+      codeLength: 8,
+    };
+  });
+
+  describe('constructor', function () {
+    it('covers invalid algorithm', function () {
+      options.algorithm = 'md5';
+      options.key = Buffer.from('');
+      assert.throws(() => new TOTP(options), RangeError);
+    });
+
+    it('covers invalid key size', function () {
+      options.algorithm = 'sha1';
+      options.key = Buffer.from('smol');
+      assert.throws(() => new TOTP(options), RangeError);
+    });
+  }); // constructor
+
+  describe('counter', function () {
+    for (const test of tests) {
+      it(`epoch ${test.epoch}`, function () {
+        sinon.stub(Date, 'now').returns(test.epoch * 1000);
+        options.algorithm = test.algorithm;
+        options.key = algorithmKeys[test.algorithm];
+        totp = new TOTP(options);
+        assert.strictEqual(totp.counter, test.count);
+      });
+    }
+    it('covers setting counter as nop', function () {
+      options.algorithm = 'sha1';
+      options.key = algorithmKeys[options.algorithm];
+      totp = new TOTP(options);
+      totp.counter = 0;
+      assert.notStrictEqual(totp.counter, 0);
+    });
+  }); // counter
+
+  describe('generate', function () {
+    for (const test of tests) {
+      it(`count ${test.count} ${test.algorithm}`, function () {
+        options.algorithm = test.algorithm;
+        options.key = algorithmKeys[test.algorithm];
+        totp = new TOTP(options);
+        const result = totp.generate(test.count);
+        assert.strictEqual(result, test.totp);
+      });
+      it(`epoch ${test.epoch} ${test.algorithm}`, function () {
+        sinon.stub(Date, 'now').returns(test.epoch * 1000);
+        options.algorithm = test.algorithm;
+        options.key = algorithmKeys[test.algorithm];
+        totp = new TOTP(options);
+        const result = totp.generate();
+        assert.strictEqual(result, test.totp);
+      });
+    }
+  }); // generate
+
+  describe('validate', function () {
+    const totpOffsets = {
+      '-2': '73751819',
+      '-1': '73039595',
+      '0': '45301026', // oathtool --totp -N 'Sept 29 2023 02:58:00' --digits=8 3132333435363738393031323334353637383930
+      '1': '16636878',
+      '2': '37492012',
+    }
+    beforeEach(function () {
+      const when = new Date('2023-09-29T09:58:00.000Z');
+      sinon.stub(Date, 'now').returns(when.getTime());
+      options.algorithm = 'sha1';
+      options.key = algorithmKeys['sha1'];
+      totp = new TOTP(options);
+    });
+    it('validates correct totp', function () {
+      const result = totp.validate(totpOffsets[0]);
+      assert.strictEqual(result, true);
+    });
+    it('validates totp within future window', function () {
+      const result = totp.validate(totpOffsets[1]);
+      assert.strictEqual(result, true);
+    });
+    it('validates totp within past window', function () {
+      const result = totp.validate(totpOffsets[-1]);
+      assert.strictEqual(result, true);
+    });
+    it('fails totp outside future window', function () {
+      const result = totp.validate(totpOffsets[2]);
+      assert.strictEqual(result, false);
+    });
+    it('fails totp outside past window', function () {
+      const result = totp.validate(totpOffsets[-2]);
+      assert.strictEqual(result, false);
+    });
+    it('fails invalid totp', function () {
+      const result = totp.validate('00000000');
+      assert.strictEqual(result, false);
+    });
+  }); // validate
+
+}); // TOTP
\ No newline at end of file
A minimal TOTP/HOTP helper.