📄 rijndael_algorithm.java
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// $Id: $//// $Log: $// Revision 1.1 1998/04/12 Paulo// + optimized methods for the default 128-bit block size.//// Revision 1.0 1998/03/11 Raif// + original version.//// $Endlog$/* * Copyright (c) 1997, 1998 Systemics Ltd on behalf of * the Cryptix Development Team. All rights reserved. */package rijndael;import java.io.PrintWriter;import java.security.InvalidKeyException;//.........................................................................../** * Rijndael --pronounced Reindaal-- is a variable block-size (128-, 192- and * 256-bit), variable key-size (128-, 192- and 256-bit) symmetric cipher.<p> * * Rijndael was written by <a href="mailto:rijmen@esat.kuleuven.ac.be">Vincent * Rijmen</a> and <a href="mailto:Joan.Daemen@village.uunet.be">Joan Daemen</a>.<p> * * Portions of this code are <b>Copyright</b> © 1997, 1998 * <a href="http://www.systemics.com/">Systemics Ltd</a> on behalf of the * <a href="http://www.systemics.com/docs/cryptix/">Cryptix Development Team</a>. * <br>All rights reserved.<p> * * <b>$Revision: $</b> * @author Raif S. Naffah * @author Paulo S. L. M. Barreto */public final class Rijndael_Algorithm // implicit no-argument constructor{// Debugging methods and variables//........................................................................... static final String NAME = "Rijndael_Algorithm"; static final boolean IN = true, OUT = false; static final boolean DEBUG = Rijndael_Properties.GLOBAL_DEBUG; static final int debuglevel = DEBUG ? Rijndael_Properties.getLevel(NAME) : 0; static final PrintWriter err = DEBUG ? Rijndael_Properties.getOutput() : null; static final boolean TRACE = Rijndael_Properties.isTraceable(NAME); static void debug (String s) { err.println(">>> "+NAME+": "+s); } static void trace (boolean in, String s) { if (TRACE) err.println((in?"==> ":"<== ")+NAME+"."+s); } static void trace (String s) { if (TRACE) err.println("<=> "+NAME+"."+s); }// Constants and variables//........................................................................... static final int BLOCK_SIZE = 16; // default block size in bytes static final int[] alog = new int[256]; static final int[] log = new int[256]; static final byte[] S = new byte[256]; static final byte[] Si = new byte[256]; static final int[] T1 = new int[256]; static final int[] T2 = new int[256]; static final int[] T3 = new int[256]; static final int[] T4 = new int[256]; static final int[] T5 = new int[256]; static final int[] T6 = new int[256]; static final int[] T7 = new int[256]; static final int[] T8 = new int[256]; static final int[] U1 = new int[256]; static final int[] U2 = new int[256]; static final int[] U3 = new int[256]; static final int[] U4 = new int[256]; static final byte[] rcon = new byte[30]; static final int[][][] shifts = new int[][][] { { {0, 0}, {1, 3}, {2, 2}, {3, 1} }, { {0, 0}, {1, 5}, {2, 4}, {3, 3} }, { {0, 0}, {1, 7}, {3, 5}, {4, 4} } }; private static final char[] HEX_DIGITS = { '0','1','2','3','4','5','6','7','8','9','A','B','C','D','E','F' };// Static code - to intialise S-boxes and T-boxes//........................................................................... static { long time = System.currentTimeMillis();if (DEBUG && debuglevel > 6) {System.out.println("Algorithm Name: "+Rijndael_Properties.FULL_NAME);System.out.println("Electronic Codebook (ECB) Mode");System.out.println();} int ROOT = 0x11B; int i, j = 0; // // produce log and alog tables, needed for multiplying in the // field GF(2^m) (generator = 3) // alog[0] = 1; for (i = 1; i < 256; i++) { j = (alog[i-1] << 1) ^ alog[i-1]; if ((j & 0x100) != 0) j ^= ROOT; alog[i] = j; } for (i = 1; i < 255; i++) log[alog[i]] = i; byte[][] A = new byte[][] { {1, 1, 1, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 1}, {1, 1, 1, 0, 0, 0, 1, 1}, {1, 1, 1, 1, 0, 0, 0, 1} }; byte[] B = new byte[] { 0, 1, 1, 0, 0, 0, 1, 1}; // // substitution box based on F^{-1}(x) // int t; byte[][] box = new byte[256][8]; box[1][7] = 1; for (i = 2; i < 256; i++) { j = alog[255 - log[i]]; for (t = 0; t < 8; t++) box[i][t] = (byte)((j >>> (7 - t)) & 0x01); } // // affine transform: box[i] <- B + A*box[i] // byte[][] cox = new byte[256][8]; for (i = 0; i < 256; i++) for (t = 0; t < 8; t++) { cox[i][t] = B[t]; for (j = 0; j < 8; j++) cox[i][t] ^= A[t][j] * box[i][j]; } // // S-boxes and inverse S-boxes // for (i = 0; i < 256; i++) { S[i] = (byte)(cox[i][0] << 7); for (t = 1; t < 8; t++) S[i] ^= cox[i][t] << (7-t); Si[S[i] & 0xFF] = (byte) i; } // // T-boxes // byte[][] G = new byte[][] { {2, 1, 1, 3}, {3, 2, 1, 1}, {1, 3, 2, 1}, {1, 1, 3, 2} }; byte[][] AA = new byte[4][8]; for (i = 0; i < 4; i++) { for (j = 0; j < 4; j++) AA[i][j] = G[i][j]; AA[i][i+4] = 1; } byte pivot, tmp; byte[][] iG = new byte[4][4]; for (i = 0; i < 4; i++) { pivot = AA[i][i]; if (pivot == 0) { t = i + 1; while ((AA[t][i] == 0) && (t < 4)) t++; if (t == 4) throw new RuntimeException("G matrix is not invertible"); else { for (j = 0; j < 8; j++) { tmp = AA[i][j]; AA[i][j] = AA[t][j]; AA[t][j] = (byte) tmp; } pivot = AA[i][i]; } } for (j = 0; j < 8; j++) if (AA[i][j] != 0) AA[i][j] = (byte) alog[(255 + log[AA[i][j] & 0xFF] - log[pivot & 0xFF]) % 255]; for (t = 0; t < 4; t++) if (i != t) { for (j = i+1; j < 8; j++) AA[t][j] ^= mul(AA[i][j], AA[t][i]); AA[t][i] = 0; } } for (i = 0; i < 4; i++) for (j = 0; j < 4; j++) iG[i][j] = AA[i][j + 4]; int s; for (t = 0; t < 256; t++) { s = S[t]; T1[t] = mul4(s, G[0]); T2[t] = mul4(s, G[1]); T3[t] = mul4(s, G[2]); T4[t] = mul4(s, G[3]); s = Si[t]; T5[t] = mul4(s, iG[0]); T6[t] = mul4(s, iG[1]); T7[t] = mul4(s, iG[2]); T8[t] = mul4(s, iG[3]); U1[t] = mul4(t, iG[0]); U2[t] = mul4(t, iG[1]); U3[t] = mul4(t, iG[2]); U4[t] = mul4(t, iG[3]); } // // round constants // rcon[0] = 1; int r = 1; for (t = 1; t < 30; ) rcon[t++] = (byte)(r = mul(2, r)); time = System.currentTimeMillis() - time;if (DEBUG && debuglevel > 8) {System.out.println("==========");System.out.println();System.out.println("Static Data");System.out.println();System.out.println("S[]:"); for(i=0;i<16;i++) { for(j=0;j<16;j++) System.out.print("0x"+byteToString(S[i*16+j])+", "); System.out.println();}System.out.println();System.out.println("Si[]:"); for(i=0;i<16;i++) { for(j=0;j<16;j++) System.out.print("0x"+byteToString(Si[i*16+j])+", "); System.out.println();}System.out.println();System.out.println("iG[]:"); for(i=0;i<4;i++){for(j=0;j<4;j++) System.out.print("0x"+byteToString(iG[i][j])+", "); System.out.println();}System.out.println();System.out.println("T1[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T1[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("T2[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T2[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("T3[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T3[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("T4[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T4[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("T5[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T5[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("T6[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T6[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("T7[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T7[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("T8[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(T8[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("U1[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(U1[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("U2[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(U2[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("U3[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(U3[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("U4[]:"); for(i=0;i<64;i++){for(j=0;j<4;j++) System.out.print("0x"+intToString(U4[i*4+j])+", "); System.out.println();}System.out.println();System.out.println("rcon[]:"); for(i=0;i<5;i++){for(j=0;j<6;j++) System.out.print("0x"+byteToString(rcon[i*6+j])+", "); System.out.println();}System.out.println();System.out.println("Total initialization time: "+time+" ms.");System.out.println();} } // multiply two elements of GF(2^m) static final int mul (int a, int b) { return (a != 0 && b != 0) ? alog[(log[a & 0xFF] + log[b & 0xFF]) % 255] : 0; }
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