algo.js 7.3 KB

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  1. 
  2. /* jshint node:true *//* global define */
  3. 'use strict';
  4. /**
  5. * Rijndael cipher encryption routines,
  6. *
  7. * Reference implementation of FIPS-197 http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf.
  8. *
  9. * @namespace
  10. */
  11. var Algo = {};
  12. /**
  13. * Cipher function: encrypt 'input' state with Rijndael algorithm [§5.1];
  14. * applies Nr rounds (10/12/14) using key schedule w for 'add round key' stage.
  15. *
  16. * @param {number[]} input - 16-byte (128-bit) input state array.
  17. * @param {number[][]} w - Key schedule as 2D byte-array (Nr+1 x Nb bytes).
  18. * @returns {number[]} Encrypted output state array.
  19. */
  20. Algo.cipher = function(input, w) {
  21. var Nb = 4; // block size (in words): no of columns in state
  22. var Nr = w.length/Nb - 1; // no of rounds: 10/12/14 for 128/192/256-bit keys
  23. var state = [[],[],[],[]]; // initialise 4xNb byte-array 'state' with input [§3.4]
  24. for (var i=0; i<4*Nb; i++) state[i%4][Math.floor(i/4)] = input[i];
  25. state = Algo.addRoundKey(state, w, 0, Nb);
  26. for (var round=1; round<Nr; round++) {
  27. state = Algo.subBytes(state, Nb);
  28. state = Algo.shiftRows(state, Nb);
  29. state = Algo.mixColumns(state, Nb);
  30. state = Algo.addRoundKey(state, w, round, Nb);
  31. }
  32. state = Algo.subBytes(state, Nb);
  33. state = Algo.shiftRows(state, Nb);
  34. state = Algo.addRoundKey(state, w, Nr, Nb);
  35. var output = new Array(4*Nb); // convert state to 1-d array before returning [§3.4]
  36. for (var i=0; i<4*Nb; i++) output[i] = state[i%4][Math.floor(i/4)];
  37. return output;
  38. };
  39. /**
  40. * Perform key expansion to generate a key schedule from a cipher key [§5.2].
  41. *
  42. * @param {number[]} key - Cipher key as 16/24/32-byte array.
  43. * @returns {number[][]} Expanded key schedule as 2D byte-array (Nr+1 x Nb bytes).
  44. */
  45. Algo.keyExpansion = function(key) {
  46. var Nb = 4; // block size (in words): no of columns in state
  47. var Nk = key.length/4; // key length (in words): 4/6/8 for 128/192/256-bit keys
  48. var Nr = Nk + 6; // no of rounds: 10/12/14 for 128/192/256-bit keys
  49. var w = new Array(Nb*(Nr+1));
  50. var temp = new Array(4);
  51. // initialise first Nk words of expanded key with cipher key
  52. for (var i=0; i<Nk; i++) {
  53. var r = [key[4*i], key[4*i+1], key[4*i+2], key[4*i+3]];
  54. w[i] = r;
  55. }
  56. // expand the key into the remainder of the schedule
  57. for (var i=Nk; i<(Nb*(Nr+1)); i++) {
  58. w[i] = new Array(4);
  59. for (var t=0; t<4; t++) temp[t] = w[i-1][t];
  60. // each Nk'th word has extra transformation
  61. if (i % Nk == 0) {
  62. temp = Algo.subWord(Algo.rotWord(temp));
  63. for (var t=0; t<4; t++) temp[t] ^= Algo.rCon[i/Nk][t];
  64. }
  65. // 256-bit key has subWord applied every 4th word
  66. else if (Nk > 6 && i%Nk == 4) {
  67. temp = Algo.subWord(temp);
  68. }
  69. // xor w[i] with w[i-1] and w[i-Nk]
  70. for (var t=0; t<4; t++) w[i][t] = w[i-Nk][t] ^ temp[t];
  71. }
  72. return w;
  73. };
  74. /**
  75. * Apply SBox to state S [§5.1.1]
  76. * @private
  77. */
  78. Algo.subBytes = function(s, Nb) {
  79. for (var r=0; r<4; r++) {
  80. for (var c=0; c<Nb; c++) s[r][c] = Algo.sBox[s[r][c]];
  81. }
  82. return s;
  83. };
  84. /**
  85. * Shift row r of state S left by r bytes [§5.1.2]
  86. * @private
  87. */
  88. Algo.shiftRows = function(s, Nb) {
  89. var t = new Array(4);
  90. for (var r=1; r<4; r++) {
  91. for (var c=0; c<4; c++) t[c] = s[r][(c+r)%Nb]; // shift into temp copy
  92. for (var c=0; c<4; c++) s[r][c] = t[c]; // and copy back
  93. } // note that this will work for Nb=4,5,6, but not 7,8
  94. return s; // see asmaes.sourceforge.net/rijndael/rijndaelImplementation.pdf
  95. };
  96. /**
  97. * Combine bytes of each col of state S [§5.1.3]
  98. * @private
  99. */
  100. Algo.mixColumns = function(s, Nb) {
  101. for (var c=0; c<4; c++) {
  102. var a = new Array(4); // 'a' is a copy of the current column from 's'
  103. var b = new Array(4); // 'b' is a•{02} in GF(2^8)
  104. for (var i=0; i<4; i++) {
  105. a[i] = s[i][c];
  106. b[i] = s[i][c]&0x80 ? s[i][c]<<1 ^ 0x011b : s[i][c]<<1;
  107. }
  108. // a[n] ^ b[n] is a•{03} in GF(2^8)
  109. s[0][c] = b[0] ^ a[1] ^ b[1] ^ a[2] ^ a[3]; // {02}•a0 + {03}•a1 + a2 + a3
  110. s[1][c] = a[0] ^ b[1] ^ a[2] ^ b[2] ^ a[3]; // a0 • {02}•a1 + {03}•a2 + a3
  111. s[2][c] = a[0] ^ a[1] ^ b[2] ^ a[3] ^ b[3]; // a0 + a1 + {02}•a2 + {03}•a3
  112. s[3][c] = a[0] ^ b[0] ^ a[1] ^ a[2] ^ b[3]; // {03}•a0 + a1 + a2 + {02}•a3
  113. }
  114. return s;
  115. };
  116. /**
  117. * Xor Round Key into state S [§5.1.4]
  118. * @private
  119. */
  120. Algo.addRoundKey = function(state, w, rnd, Nb) {
  121. for (var r=0; r<4; r++) {
  122. for (var c=0; c<Nb; c++) state[r][c] ^= w[rnd*4+c][r];
  123. }
  124. return state;
  125. };
  126. /**
  127. * Apply SBox to 4-byte word w
  128. * @private
  129. */
  130. Algo.subWord = function(w) {
  131. for (var i=0; i<4; i++) w[i] = Algo.sBox[w[i]];
  132. return w;
  133. };
  134. /**
  135. * Rotate 4-byte word w left by one byte
  136. * @private
  137. */
  138. Algo.rotWord = function(w) {
  139. var tmp = w[0];
  140. for (var i=0; i<3; i++) w[i] = w[i+1];
  141. w[3] = tmp;
  142. return w;
  143. };
  144. // sBox is pre-computed multiplicative inverse in GF(2^8) used in subBytes and keyExpansion [§5.1.1]
  145. Algo.sBox = [0x63,0x7c,0x77,0x7b,0xf2,0x6b,0x6f,0xc5,0x30,0x01,0x67,0x2b,0xfe,0xd7,0xab,0x76,
  146. 0xca,0x82,0xc9,0x7d,0xfa,0x59,0x47,0xf0,0xad,0xd4,0xa2,0xaf,0x9c,0xa4,0x72,0xc0,
  147. 0xb7,0xfd,0x93,0x26,0x36,0x3f,0xf7,0xcc,0x34,0xa5,0xe5,0xf1,0x71,0xd8,0x31,0x15,
  148. 0x04,0xc7,0x23,0xc3,0x18,0x96,0x05,0x9a,0x07,0x12,0x80,0xe2,0xeb,0x27,0xb2,0x75,
  149. 0x09,0x83,0x2c,0x1a,0x1b,0x6e,0x5a,0xa0,0x52,0x3b,0xd6,0xb3,0x29,0xe3,0x2f,0x84,
  150. 0x53,0xd1,0x00,0xed,0x20,0xfc,0xb1,0x5b,0x6a,0xcb,0xbe,0x39,0x4a,0x4c,0x58,0xcf,
  151. 0xd0,0xef,0xaa,0xfb,0x43,0x4d,0x33,0x85,0x45,0xf9,0x02,0x7f,0x50,0x3c,0x9f,0xa8,
  152. 0x51,0xa3,0x40,0x8f,0x92,0x9d,0x38,0xf5,0xbc,0xb6,0xda,0x21,0x10,0xff,0xf3,0xd2,
  153. 0xcd,0x0c,0x13,0xec,0x5f,0x97,0x44,0x17,0xc4,0xa7,0x7e,0x3d,0x64,0x5d,0x19,0x73,
  154. 0x60,0x81,0x4f,0xdc,0x22,0x2a,0x90,0x88,0x46,0xee,0xb8,0x14,0xde,0x5e,0x0b,0xdb,
  155. 0xe0,0x32,0x3a,0x0a,0x49,0x06,0x24,0x5c,0xc2,0xd3,0xac,0x62,0x91,0x95,0xe4,0x79,
  156. 0xe7,0xc8,0x37,0x6d,0x8d,0xd5,0x4e,0xa9,0x6c,0x56,0xf4,0xea,0x65,0x7a,0xae,0x08,
  157. 0xba,0x78,0x25,0x2e,0x1c,0xa6,0xb4,0xc6,0xe8,0xdd,0x74,0x1f,0x4b,0xbd,0x8b,0x8a,
  158. 0x70,0x3e,0xb5,0x66,0x48,0x03,0xf6,0x0e,0x61,0x35,0x57,0xb9,0x86,0xc1,0x1d,0x9e,
  159. 0xe1,0xf8,0x98,0x11,0x69,0xd9,0x8e,0x94,0x9b,0x1e,0x87,0xe9,0xce,0x55,0x28,0xdf,
  160. 0x8c,0xa1,0x89,0x0d,0xbf,0xe6,0x42,0x68,0x41,0x99,0x2d,0x0f,0xb0,0x54,0xbb,0x16];
  161. // rCon is Round Constant used for the Key Expansion [1st col is 2^(r-1) in GF(2^8)] [§5.2]
  162. Algo.rCon = [ [0x00, 0x00, 0x00, 0x00],
  163. [0x01, 0x00, 0x00, 0x00],
  164. [0x02, 0x00, 0x00, 0x00],
  165. [0x04, 0x00, 0x00, 0x00],
  166. [0x08, 0x00, 0x00, 0x00],
  167. [0x10, 0x00, 0x00, 0x00],
  168. [0x20, 0x00, 0x00, 0x00],
  169. [0x40, 0x00, 0x00, 0x00],
  170. [0x80, 0x00, 0x00, 0x00],
  171. [0x1b, 0x00, 0x00, 0x00],
  172. [0x36, 0x00, 0x00, 0x00] ];
  173. /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  174. if (typeof module != 'undefined' && module.exports) module.exports = Algo; // CommonJs export
  175. if (typeof define == 'function' && define.amd) define([], function() { return Algo; }); // AMD