org.bouncycastle.pqc.crypto.hqc.ReedSolomon Maven / Gradle / Ivy
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The Bouncy Castle Crypto package is a Java implementation of cryptographic algorithms. This jar contains JCE provider and lightweight API for the Bouncy Castle Cryptography APIs for JDK 1.5 to JDK 1.8.
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package org.bouncycastle.pqc.crypto.hqc;
import org.bouncycastle.util.Arrays;
class ReedSolomon
{
static int[][] alpha128 = {{2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193}, {4, 16, 64, 29, 116, 205, 19, 76, 45, 180, 234, 143, 6, 24, 96, 157, 78, 37, 148, 106, 181, 238, 159, 70, 5, 20, 80, 93, 105, 185, 222, 95, 97, 153, 94, 101, 137, 30, 120, 253, 211, 107, 177, 254, 223}, {8, 64, 58, 205, 38, 45, 117, 143, 12, 96, 39, 37, 53, 181, 193, 70, 10, 80, 186, 185, 161, 97, 47, 101, 15, 120, 231, 107, 127, 223, 182, 217, 134, 68, 26, 208, 206, 62, 237, 59, 197, 102, 23, 184, 169}, {16, 29, 205, 76, 180, 143, 24, 157, 37, 106, 238, 70, 20, 93, 185, 95, 153, 101, 30, 253, 107, 254, 91, 217, 17, 13, 208, 129, 248, 59, 151, 133, 184, 79, 132, 168, 82, 73, 228, 230, 198, 252, 123, 227, 150}, {32, 116, 38, 180, 3, 96, 156, 106, 193, 5, 160, 185, 190, 94, 15, 253, 214, 223, 226, 17, 26, 103, 124, 59, 51, 46, 169, 132, 77, 85, 114, 230, 145, 215, 255, 150, 55, 174, 100, 28, 167, 89, 239, 172, 36}, {64, 205, 45, 143, 96, 37, 181, 70, 80, 185, 97, 101, 120, 107, 223, 217, 68, 208, 62, 59, 102, 184, 33, 168, 85, 228, 191, 252, 241, 150, 110, 130, 7, 221, 89, 195, 138, 61, 251, 44, 207, 173, 8, 58, 38}, {128, 19, 117, 24, 156, 181, 140, 93, 161, 94, 60, 107, 163, 67, 26, 129, 147, 102, 109, 132, 41, 57, 209, 252, 255, 98, 87, 200, 224, 89, 155, 18, 245, 11, 233, 173, 16, 232, 45, 3, 157, 53, 159, 40, 185}, {29, 76, 143, 157, 106, 70, 93, 95, 101, 253, 254, 217, 13, 129, 59, 133, 79, 168, 73, 230, 252, 227, 149, 130, 28, 81, 195, 18, 247, 44, 27, 2, 58, 152, 3, 39, 212, 140, 186, 190, 202, 231, 225, 175, 26}, {58, 45, 12, 37, 193, 80, 161, 101, 231, 223, 134, 208, 237, 102, 169, 168, 146, 191, 179, 150, 87, 7, 166, 195, 36, 251, 125, 173, 64, 38, 143, 39, 181, 10, 185, 47, 120, 127, 217, 26, 62, 197, 184, 21, 85}, {116, 180, 96, 106, 5, 185, 94, 253, 223, 17, 103, 59, 46, 132, 85, 230, 215, 150, 174, 28, 89, 172, 244, 44, 108, 32, 38, 3, 156, 193, 160, 190, 15, 214, 226, 26, 124, 51, 169, 77, 114, 145, 255, 55, 100}, {232, 234, 39, 238, 160, 97, 60, 254, 134, 103, 118, 184, 84, 57, 145, 227, 220, 7, 162, 172, 245, 176, 71, 58, 180, 192, 181, 40, 95, 15, 177, 175, 208, 147, 46, 21, 73, 99, 241, 55, 200, 166, 43, 122, 44}, {205, 143, 37, 70, 185, 101, 107, 217, 208, 59, 184, 168, 228, 252, 150, 130, 221, 195, 61, 44, 173, 58, 117, 39, 193, 186, 47, 231, 182, 26, 237, 23, 21, 146, 145, 219, 87, 56, 242, 36, 139, 54, 64, 45, 96}, {135, 6, 53, 20, 190, 120, 163, 13, 237, 46, 84, 228, 229, 98, 100, 81, 69, 251, 131, 32, 45, 192, 238, 186, 94, 187, 217, 189, 236, 169, 82, 209, 241, 220, 28, 242, 72, 22, 173, 116, 201, 37, 140, 222, 15}, {19, 24, 181, 93, 94, 107, 67, 129, 102, 132, 57, 252, 98, 200, 89, 18, 11, 173, 232, 3, 53, 40, 194, 231, 226, 189, 197, 158, 170, 145, 75, 25, 166, 69, 235, 54, 29, 234, 37, 5, 95, 120, 91, 52, 59}, {38, 96, 193, 185, 15, 223, 26, 59, 169, 85, 145, 150, 100, 89, 36, 44, 1, 38, 96, 193, 185, 15, 223, 26, 59, 169, 85, 145, 150, 100, 89, 36, 44, 1, 38, 96, 193, 185, 15, 223, 26, 59, 169, 85, 145}, {76, 157, 70, 95, 253, 217, 129, 133, 168, 230, 227, 130, 81, 18, 44, 2, 152, 39, 140, 190, 231, 175, 31, 23, 77, 209, 219, 25, 162, 36, 88, 4, 45, 78, 5, 97, 211, 67, 62, 46, 154, 191, 171, 50, 89}, {152, 78, 10, 153, 214, 68, 147, 79, 146, 215, 220, 221, 69, 11, 1, 152, 78, 10, 153, 214, 68, 147, 79, 146, 215, 220, 221, 69, 11, 1, 152, 78, 10, 153, 214, 68, 147, 79, 146, 215, 220, 221, 69, 11, 1}, {45, 37, 80, 101, 223, 208, 102, 168, 191, 150, 7, 195, 251, 173, 38, 39, 10, 47, 127, 26, 197, 21, 115, 219, 100, 242, 245, 54, 205, 96, 70, 97, 107, 68, 59, 33, 228, 241, 130, 89, 61, 207, 58, 12, 193}, {90, 148, 186, 30, 226, 62, 109, 73, 179, 174, 162, 61, 131, 232, 96, 140, 153, 127, 52, 51, 168, 99, 98, 56, 172, 22, 8, 234, 212, 185, 240, 67, 237, 79, 114, 241, 25, 121, 245, 108, 19, 39, 20, 188, 223}, {180, 106, 185, 253, 17, 59, 132, 230, 150, 28, 172, 44, 32, 3, 193, 190, 214, 26, 51, 77, 145, 55, 167, 36, 233, 116, 96, 5, 94, 223, 103, 46, 85, 215, 174, 89, 244, 108, 38, 156, 160, 15, 226, 124, 169}, {117, 181, 161, 107, 26, 102, 41, 252, 87, 89, 245, 173, 45, 53, 185, 231, 68, 197, 168, 145, 110, 166, 61, 54, 38, 37, 186, 120, 134, 59, 21, 191, 196, 221, 36, 207, 205, 39, 80, 15, 217, 237, 33, 115, 150}, {234, 238, 97, 254, 103, 184, 57, 227, 7, 172, 176, 58, 192, 40, 15, 175, 147, 21, 99, 55, 166, 122, 216, 45, 106, 222, 107, 52, 133, 85, 123, 50, 195, 11, 32, 12, 140, 188, 182, 124, 158, 115, 49, 224, 36}, {201, 159, 47, 91, 124, 33, 209, 149, 166, 244, 71, 117, 238, 194, 223, 31, 79, 115, 98, 167, 61, 216, 90, 181, 190, 254, 206, 218, 213, 150, 224, 72, 54, 152, 106, 161, 177, 189, 184, 114, 171, 56, 18, 131, 38}, {143, 70, 101, 217, 59, 168, 252, 130, 195, 44, 58, 39, 186, 231, 26, 23, 146, 219, 56, 36, 54, 45, 181, 97, 223, 62, 33, 191, 110, 89, 251, 8, 12, 10, 15, 134, 197, 41, 179, 100, 86, 125, 205, 37, 185}, {3, 5, 15, 17, 51, 85, 255, 28, 36, 108, 180, 193, 94, 226, 59, 77, 215, 100, 172, 233, 38, 106, 190, 223, 124, 132, 145, 174, 239, 44, 116, 156, 185, 214, 103, 169, 230, 55, 89, 235, 32, 96, 160, 253, 26}, {6, 20, 120, 13, 46, 228, 98, 81, 251, 32, 192, 186, 187, 189, 169, 209, 220, 242, 22, 116, 37, 222, 254, 62, 132, 63, 130, 43, 250, 38, 212, 194, 182, 147, 77, 179, 141, 9, 54, 180, 159, 101, 67, 151, 85}, {12, 80, 231, 208, 169, 191, 87, 195, 125, 38, 181, 47, 217, 197, 85, 219, 221, 245, 8, 96, 186, 107, 206, 33, 145, 130, 86, 207, 45, 193, 101, 134, 102, 146, 150, 166, 251, 64, 39, 185, 127, 62, 21, 252, 100}, {24, 93, 107, 129, 132, 252, 200, 18, 173, 3, 40, 231, 189, 158, 145, 25, 69, 54, 234, 5, 120, 52, 218, 191, 174, 43, 207, 90, 35, 15, 136, 92, 115, 220, 239, 125, 76, 238, 101, 17, 133, 228, 149, 121, 44}, {48, 105, 127, 248, 77, 241, 224, 247, 64, 156, 95, 182, 236, 170, 150, 162, 11, 205, 212, 94, 134, 133, 213, 110, 239, 250, 45, 35, 30, 26, 218, 99, 130, 69, 108, 143, 40, 211, 206, 132, 229, 7, 144, 2, 96}, {96, 185, 223, 59, 85, 150, 89, 44, 38, 193, 15, 26, 169, 145, 100, 36, 1, 96, 185, 223, 59, 85, 150, 89, 44, 38, 193, 15, 26, 169, 145, 100, 36, 1, 96, 185, 223, 59, 85, 150, 89, 44, 38, 193, 15}};
static int[][] alpha192 = {{2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160}, {4, 16, 64, 29, 116, 205, 19, 76, 45, 180, 234, 143, 6, 24, 96, 157, 78, 37, 148, 106, 181, 238, 159, 70, 5, 20, 80, 93, 105, 185, 222, 95, 97, 153, 94, 101, 137, 30, 120, 253, 211, 107, 177, 254, 223, 91, 113, 217, 67, 17, 68, 13, 52, 208, 103}, {8, 64, 58, 205, 38, 45, 117, 143, 12, 96, 39, 37, 53, 181, 193, 70, 10, 80, 186, 185, 161, 97, 47, 101, 15, 120, 231, 107, 127, 223, 182, 217, 134, 68, 26, 208, 206, 62, 237, 59, 197, 102, 23, 184, 169, 33, 21, 168, 41, 85, 146, 228, 115, 191, 145}, {16, 29, 205, 76, 180, 143, 24, 157, 37, 106, 238, 70, 20, 93, 185, 95, 153, 101, 30, 253, 107, 254, 91, 217, 17, 13, 208, 129, 248, 59, 151, 133, 184, 79, 132, 168, 82, 73, 228, 230, 198, 252, 123, 227, 150, 149, 165, 130, 200, 28, 221, 81, 121, 195, 172}, {32, 116, 38, 180, 3, 96, 156, 106, 193, 5, 160, 185, 190, 94, 15, 253, 214, 223, 226, 17, 26, 103, 124, 59, 51, 46, 169, 132, 77, 85, 114, 230, 145, 215, 255, 150, 55, 174, 100, 28, 167, 89, 239, 172, 36, 244, 235, 44, 233, 108, 1, 32, 116, 38, 180}, {64, 205, 45, 143, 96, 37, 181, 70, 80, 185, 97, 101, 120, 107, 223, 217, 68, 208, 62, 59, 102, 184, 33, 168, 85, 228, 191, 252, 241, 150, 110, 130, 7, 221, 89, 195, 138, 61, 251, 44, 207, 173, 8, 58, 38, 117, 12, 39, 53, 193, 10, 186, 161, 47, 15}, {128, 19, 117, 24, 156, 181, 140, 93, 161, 94, 60, 107, 163, 67, 26, 129, 147, 102, 109, 132, 41, 57, 209, 252, 255, 98, 87, 200, 224, 89, 155, 18, 245, 11, 233, 173, 16, 232, 45, 3, 157, 53, 159, 40, 185, 194, 137, 231, 254, 226, 68, 189, 248, 197, 46}, {29, 76, 143, 157, 106, 70, 93, 95, 101, 253, 254, 217, 13, 129, 59, 133, 79, 168, 73, 230, 252, 227, 149, 130, 28, 81, 195, 18, 247, 44, 27, 2, 58, 152, 3, 39, 212, 140, 186, 190, 202, 231, 225, 175, 26, 31, 118, 23, 158, 77, 146, 209, 229, 219, 55}, {58, 45, 12, 37, 193, 80, 161, 101, 231, 223, 134, 208, 237, 102, 169, 168, 146, 191, 179, 150, 87, 7, 166, 195, 36, 251, 125, 173, 64, 38, 143, 39, 181, 10, 185, 47, 120, 127, 217, 26, 62, 197, 184, 21, 85, 115, 252, 219, 110, 100, 221, 242, 138, 245, 44}, {116, 180, 96, 106, 5, 185, 94, 253, 223, 17, 103, 59, 46, 132, 85, 230, 215, 150, 174, 28, 89, 172, 244, 44, 108, 32, 38, 3, 156, 193, 160, 190, 15, 214, 226, 26, 124, 51, 169, 77, 114, 145, 255, 55, 100, 167, 239, 36, 235, 233, 1, 116, 180, 96, 106}, {232, 234, 39, 238, 160, 97, 60, 254, 134, 103, 118, 184, 84, 57, 145, 227, 220, 7, 162, 172, 245, 176, 71, 58, 180, 192, 181, 40, 95, 15, 177, 175, 208, 147, 46, 21, 73, 99, 241, 55, 200, 166, 43, 122, 44, 216, 128, 45, 48, 106, 10, 222, 202, 107, 226}, {205, 143, 37, 70, 185, 101, 107, 217, 208, 59, 184, 168, 228, 252, 150, 130, 221, 195, 61, 44, 173, 58, 117, 39, 193, 186, 47, 231, 182, 26, 237, 23, 21, 146, 145, 219, 87, 56, 242, 36, 139, 54, 64, 45, 96, 181, 80, 97, 120, 223, 68, 62, 102, 33, 85}, {135, 6, 53, 20, 190, 120, 163, 13, 237, 46, 84, 228, 229, 98, 100, 81, 69, 251, 131, 32, 45, 192, 238, 186, 94, 187, 217, 189, 236, 169, 82, 209, 241, 220, 28, 242, 72, 22, 173, 116, 201, 37, 140, 222, 15, 254, 34, 62, 204, 132, 146, 63, 75, 130, 167}, {19, 24, 181, 93, 94, 107, 67, 129, 102, 132, 57, 252, 98, 200, 89, 18, 11, 173, 232, 3, 53, 40, 194, 231, 226, 189, 197, 158, 170, 145, 75, 25, 166, 69, 235, 54, 29, 234, 37, 5, 95, 120, 91, 52, 59, 218, 82, 191, 227, 174, 221, 43, 247, 207, 32}, {38, 96, 193, 185, 15, 223, 26, 59, 169, 85, 145, 150, 100, 89, 36, 44, 1, 38, 96, 193, 185, 15, 223, 26, 59, 169, 85, 145, 150, 100, 89, 36, 44, 1, 38, 96, 193, 185, 15, 223, 26, 59, 169, 85, 145, 150, 100, 89, 36, 44, 1, 38, 96, 193, 185}, {76, 157, 70, 95, 253, 217, 129, 133, 168, 230, 227, 130, 81, 18, 44, 2, 152, 39, 140, 190, 231, 175, 31, 23, 77, 209, 219, 25, 162, 36, 88, 4, 45, 78, 5, 97, 211, 67, 62, 46, 154, 191, 171, 50, 89, 72, 176, 8, 90, 156, 10, 194, 187, 134, 124}, {152, 78, 10, 153, 214, 68, 147, 79, 146, 215, 220, 221, 69, 11, 1, 152, 78, 10, 153, 214, 68, 147, 79, 146, 215, 220, 221, 69, 11, 1, 152, 78, 10, 153, 214, 68, 147, 79, 146, 215, 220, 221, 69, 11, 1, 152, 78, 10, 153, 214, 68, 147, 79, 146, 215}, {45, 37, 80, 101, 223, 208, 102, 168, 191, 150, 7, 195, 251, 173, 38, 39, 10, 47, 127, 26, 197, 21, 115, 219, 100, 242, 245, 54, 205, 96, 70, 97, 107, 68, 59, 33, 228, 241, 130, 89, 61, 207, 58, 12, 193, 161, 231, 134, 237, 169, 146, 179, 87, 166, 36}, {90, 148, 186, 30, 226, 62, 109, 73, 179, 174, 162, 61, 131, 232, 96, 140, 153, 127, 52, 51, 168, 99, 98, 56, 172, 22, 8, 234, 212, 185, 240, 67, 237, 79, 114, 241, 25, 121, 245, 108, 19, 39, 20, 188, 223, 189, 133, 41, 63, 55, 221, 9, 176, 64, 3}, {180, 106, 185, 253, 17, 59, 132, 230, 150, 28, 172, 44, 32, 3, 193, 190, 214, 26, 51, 77, 145, 55, 167, 36, 233, 116, 96, 5, 94, 223, 103, 46, 85, 215, 174, 89, 244, 108, 38, 156, 160, 15, 226, 124, 169, 114, 255, 100, 239, 235, 1, 180, 106, 185, 253}, {117, 181, 161, 107, 26, 102, 41, 252, 87, 89, 245, 173, 45, 53, 185, 231, 68, 197, 168, 145, 110, 166, 61, 54, 38, 37, 186, 120, 134, 59, 21, 191, 196, 221, 36, 207, 205, 39, 80, 15, 217, 237, 33, 115, 150, 56, 138, 125, 58, 96, 10, 101, 182, 62, 169}, {234, 238, 97, 254, 103, 184, 57, 227, 7, 172, 176, 58, 192, 40, 15, 175, 147, 21, 99, 55, 166, 122, 216, 45, 106, 222, 107, 52, 133, 85, 123, 50, 195, 11, 32, 12, 140, 188, 182, 124, 158, 115, 49, 224, 36, 131, 19, 37, 105, 253, 68, 151, 154, 252, 174}, {201, 159, 47, 91, 124, 33, 209, 149, 166, 244, 71, 117, 238, 194, 223, 31, 79, 115, 98, 167, 61, 216, 90, 181, 190, 254, 206, 218, 213, 150, 224, 72, 54, 152, 106, 161, 177, 189, 184, 114, 171, 56, 18, 131, 38, 148, 111, 107, 104, 46, 146, 227, 14, 138, 233}, {143, 70, 101, 217, 59, 168, 252, 130, 195, 44, 58, 39, 186, 231, 26, 23, 146, 219, 56, 36, 54, 45, 181, 97, 223, 62, 33, 191, 110, 89, 251, 8, 12, 10, 15, 134, 197, 41, 179, 100, 86, 125, 205, 37, 185, 107, 208, 184, 228, 150, 221, 61, 173, 117, 193}, {3, 5, 15, 17, 51, 85, 255, 28, 36, 108, 180, 193, 94, 226, 59, 77, 215, 100, 172, 233, 38, 106, 190, 223, 124, 132, 145, 174, 239, 44, 116, 156, 185, 214, 103, 169, 230, 55, 89, 235, 32, 96, 160, 253, 26, 46, 114, 150, 167, 244, 1, 3, 5, 15, 17}, {6, 20, 120, 13, 46, 228, 98, 81, 251, 32, 192, 186, 187, 189, 169, 209, 220, 242, 22, 116, 37, 222, 254, 62, 132, 63, 130, 43, 250, 38, 212, 194, 182, 147, 77, 179, 141, 9, 54, 180, 159, 101, 67, 151, 85, 227, 112, 61, 142, 3, 10, 60, 136, 23, 114}, {12, 80, 231, 208, 169, 191, 87, 195, 125, 38, 181, 47, 217, 197, 85, 219, 221, 245, 8, 96, 186, 107, 206, 33, 145, 130, 86, 207, 45, 193, 101, 134, 102, 146, 150, 166, 251, 64, 39, 185, 127, 62, 21, 252, 100, 138, 54, 117, 70, 15, 68, 23, 228, 196, 89}, {24, 93, 107, 129, 132, 252, 200, 18, 173, 3, 40, 231, 189, 158, 145, 25, 69, 54, 234, 5, 120, 52, 218, 191, 174, 43, 207, 90, 35, 15, 136, 92, 115, 220, 239, 125, 76, 238, 101, 17, 133, 228, 149, 121, 44, 135, 212, 47, 175, 51, 146, 49, 162, 139, 116}, {48, 105, 127, 248, 77, 241, 224, 247, 64, 156, 95, 182, 236, 170, 150, 162, 11, 205, 212, 94, 134, 133, 213, 110, 239, 250, 45, 35, 30, 26, 218, 99, 130, 69, 108, 143, 40, 211, 206, 132, 229, 7, 144, 2, 96, 210, 254, 237, 154, 255, 221, 243, 128, 37, 190}, {96, 185, 223, 59, 85, 150, 89, 44, 38, 193, 15, 26, 169, 145, 100, 36, 1, 96, 185, 223, 59, 85, 150, 89, 44, 38, 193, 15, 26, 169, 145, 100, 36, 1, 96, 185, 223, 59, 85, 150, 89, 44, 38, 193, 15, 26, 169, 145, 100, 36, 1, 96, 185, 223, 59}, {192, 222, 182, 151, 114, 110, 155, 27, 143, 160, 177, 237, 82, 75, 89, 88, 152, 70, 240, 103, 21, 123, 224, 251, 116, 212, 101, 136, 218, 145, 200, 144, 8, 78, 190, 217, 204, 183, 87, 172, 216, 12, 105, 225, 59, 170, 98, 242, 250, 180, 10, 211, 31, 168, 255}, {157, 95, 217, 133, 230, 130, 18, 2, 39, 190, 175, 23, 209, 25, 36, 4, 78, 97, 67, 46, 191, 50, 72, 8, 156, 194, 134, 92, 99, 100, 144, 16, 37, 153, 17, 184, 198, 200, 61, 32, 74, 47, 34, 109, 145, 141, 122, 64, 148, 94, 68, 218, 63, 7, 244}};
static int[][] alpha256 = {{2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225}, {4, 16, 64, 29, 116, 205, 19, 76, 45, 180, 234, 143, 6, 24, 96, 157, 78, 37, 148, 106, 181, 238, 159, 70, 5, 20, 80, 93, 105, 185, 222, 95, 97, 153, 94, 101, 137, 30, 120, 253, 211, 107, 177, 254, 223, 91, 113, 217, 67, 17, 68, 13, 52, 208, 103, 129, 62, 248, 199, 59, 236, 151, 102, 133, 46, 184, 218, 79, 33, 132, 42, 168, 154, 82, 85, 73, 57, 228, 183, 230, 191, 198, 63, 252, 215, 123, 241, 227, 171}, {8, 64, 58, 205, 38, 45, 117, 143, 12, 96, 39, 37, 53, 181, 193, 70, 10, 80, 186, 185, 161, 97, 47, 101, 15, 120, 231, 107, 127, 223, 182, 217, 134, 68, 26, 208, 206, 62, 237, 59, 197, 102, 23, 184, 169, 33, 21, 168, 41, 85, 146, 228, 115, 191, 145, 252, 179, 241, 219, 150, 196, 110, 87, 130, 100, 7, 56, 221, 166, 89, 242, 195, 86, 138, 36, 61, 245, 251, 139, 44, 125, 207, 54, 173, 1, 8, 64, 58, 205}, {16, 29, 205, 76, 180, 143, 24, 157, 37, 106, 238, 70, 20, 93, 185, 95, 153, 101, 30, 253, 107, 254, 91, 217, 17, 13, 208, 129, 248, 59, 151, 133, 184, 79, 132, 168, 82, 73, 228, 230, 198, 252, 123, 227, 150, 149, 165, 130, 200, 28, 221, 81, 121, 195, 172, 18, 61, 247, 203, 44, 250, 27, 173, 2, 32, 58, 135, 152, 117, 3, 48, 39, 74, 212, 193, 140, 40, 186, 111, 190, 47, 202, 60, 231, 214, 225, 182, 175, 34}, {32, 116, 38, 180, 3, 96, 156, 106, 193, 5, 160, 185, 190, 94, 15, 253, 214, 223, 226, 17, 26, 103, 124, 59, 51, 46, 169, 132, 77, 85, 114, 230, 145, 215, 255, 150, 55, 174, 100, 28, 167, 89, 239, 172, 36, 244, 235, 44, 233, 108, 1, 32, 116, 38, 180, 3, 96, 156, 106, 193, 5, 160, 185, 190, 94, 15, 253, 214, 223, 226, 17, 26, 103, 124, 59, 51, 46, 169, 132, 77, 85, 114, 230, 145, 215, 255, 150, 55, 174}, {64, 205, 45, 143, 96, 37, 181, 70, 80, 185, 97, 101, 120, 107, 223, 217, 68, 208, 62, 59, 102, 184, 33, 168, 85, 228, 191, 252, 241, 150, 110, 130, 7, 221, 89, 195, 138, 61, 251, 44, 207, 173, 8, 58, 38, 117, 12, 39, 53, 193, 10, 186, 161, 47, 15, 231, 127, 182, 134, 26, 206, 237, 197, 23, 169, 21, 41, 146, 115, 145, 179, 219, 196, 87, 100, 56, 166, 242, 86, 36, 245, 139, 125, 54, 1, 64, 205, 45, 143}, {128, 19, 117, 24, 156, 181, 140, 93, 161, 94, 60, 107, 163, 67, 26, 129, 147, 102, 109, 132, 41, 57, 209, 252, 255, 98, 87, 200, 224, 89, 155, 18, 245, 11, 233, 173, 16, 232, 45, 3, 157, 53, 159, 40, 185, 194, 137, 231, 254, 226, 68, 189, 248, 197, 46, 158, 168, 170, 183, 145, 123, 75, 110, 25, 28, 166, 249, 69, 61, 235, 176, 54, 2, 29, 38, 234, 48, 37, 119, 5, 186, 95, 188, 120, 214, 91, 134, 52, 31}, {29, 76, 143, 157, 106, 70, 93, 95, 101, 253, 254, 217, 13, 129, 59, 133, 79, 168, 73, 230, 252, 227, 149, 130, 28, 81, 195, 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125, 156, 211, 23, 227, 9, 38, 222, 189, 228, 224, 108, 181, 225, 79, 196, 244, 234, 47, 248, 99, 89, 4, 140, 217, 84, 174, 139, 48, 30, 197, 215, 155, 58, 93, 136}, {70, 217, 168, 130, 44, 39, 231, 23, 219, 36, 45, 97, 62, 191, 89, 8, 10, 134, 41, 100, 125, 37, 107, 184, 150, 61, 117, 47, 237, 145, 242, 64, 80, 68, 85, 7, 207, 53, 127, 169, 196, 245, 143, 101, 59, 252, 195, 58, 186, 26, 146, 56, 54, 181, 223, 33, 110, 251, 12, 15, 197, 179, 86, 205, 185, 208, 228, 221, 173, 193, 182, 21, 87, 139, 96, 120, 102, 241, 138, 38, 161, 206, 115, 166, 1, 70, 217, 168, 130}, {140, 67, 41, 200, 233, 53, 254, 158, 110, 235, 48, 120, 204, 227, 36, 90, 153, 237, 63, 239, 58, 105, 104, 228, 167, 142, 70, 175, 154, 100, 250, 148, 127, 79, 55, 251, 24, 60, 102, 255, 18, 45, 194, 248, 145, 249, 29, 186, 52, 114, 221, 71, 35, 217, 77, 50, 125, 74, 177, 169, 149, 243, 12, 30, 51, 241, 9, 152, 97, 124, 198, 242, 128, 93, 26, 57, 224, 173, 159, 226, 168, 25, 176, 37, 214, 218, 196, 247, 6}, {5, 17, 85, 28, 108, 193, 226, 77, 100, 233, 106, 223, 132, 174, 44, 156, 214, 169, 55, 235, 96, 253, 46, 150, 244, 3, 15, 51, 255, 36, 180, 94, 59, 215, 172, 38, 190, 124, 145, 239, 116, 185, 103, 230, 89, 32, 160, 26, 114, 167, 1, 5, 17, 85, 28, 108, 193, 226, 77, 100, 233, 106, 223, 132, 174, 44, 156, 214, 169, 55, 235, 96, 253, 46, 150, 244, 3, 15, 51, 255, 36, 180, 94, 59, 215, 172, 38, 190, 124}, {10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221, 1, 10, 68, 146, 221}, {20, 13, 228, 81, 32, 186, 189, 209, 242, 116, 222, 62, 63, 43, 38, 194, 147, 179, 9, 180, 101, 151, 227, 61, 3, 60, 23, 49, 243, 96, 211, 218, 110, 11, 156, 127, 66, 65, 125, 106, 91, 168, 200, 27, 193, 175, 164, 56, 71, 5, 68, 57, 83, 8, 160, 104, 115, 178, 29, 185, 129, 198, 195, 135, 190, 237, 229, 69, 45, 94, 236, 241, 72, 201, 15, 204, 75, 245, 24, 253, 184, 149, 203, 39, 214, 158, 87, 88, 148}, {40, 52, 115, 121, 116, 161, 248, 229, 138, 180, 202, 102, 75, 247, 96, 187, 79, 87, 176, 106, 182, 154, 14, 173, 5, 136, 228, 162, 128, 185, 31, 63, 86, 152, 94, 197, 227, 122, 12, 253, 109, 110, 22, 74, 223, 84, 200, 54, 35, 17, 146, 83, 16, 186, 103, 99, 195, 19, 194, 59, 246, 72, 143, 60, 46, 196, 203, 78, 127, 132, 25, 207, 238, 175, 85, 224, 2, 80, 104, 230, 242, 232, 95, 237, 215, 9, 117, 137, 204}, {80, 208, 191, 195, 38, 47, 197, 219, 245, 96, 107, 33, 130, 207, 193, 134, 146, 166, 64, 185, 62, 252, 138, 117, 15, 23, 196, 139, 37, 223, 168, 7, 173, 10, 26, 115, 242, 205, 97, 59, 241, 61, 12, 231, 169, 87, 125, 181, 217, 85, 221, 8, 186, 206, 145, 86, 45, 101, 102, 150, 251, 39, 127, 21, 100, 54, 70, 68, 228, 89, 58, 161, 237, 179, 36, 143, 120, 184, 110, 44, 53, 182, 41, 56, 1, 80, 208, 191, 195}, {160, 103, 145, 172, 180, 15, 46, 55, 44, 106, 226, 85, 167, 32, 185, 124, 215, 36, 3, 253, 169, 174, 233, 193, 17, 114, 89, 116, 190, 59, 255, 244, 96, 214, 132, 100, 108, 5, 26, 230, 239, 38, 94, 51, 150, 235, 156, 223, 77, 28, 1, 160, 103, 145, 172, 180, 15, 46, 55, 44, 106, 226, 85, 167, 32, 185, 124, 215, 36, 3, 253, 169, 174, 233, 193, 17, 114, 89, 116, 190, 59, 255, 244, 96, 214, 132, 100, 108, 5}, {93, 129, 252, 18, 3, 231, 158, 25, 54, 5, 52, 191, 43, 90, 15, 92, 220, 125, 238, 17, 228, 121, 135, 47, 51, 49, 139, 148, 113, 85, 83, 128, 161, 147, 255, 245, 157, 254, 168, 28, 2, 186, 31, 229, 36, 6, 211, 33, 50, 108, 10, 104, 99, 86, 180, 30, 184, 165, 250, 193, 34, 213, 242, 19, 94, 102, 98, 11, 53, 226, 170, 166, 29, 95, 59, 227, 247, 39, 225, 77, 56, 4, 105, 62, 215, 72, 12, 187, 66}, {186, 62, 179, 61, 96, 127, 168, 56, 8, 185, 237, 241, 245, 39, 223, 41, 221, 64, 161, 59, 219, 251, 37, 182, 85, 166, 58, 97, 197, 150, 139, 53, 217, 146, 89, 205, 47, 102, 196, 44, 181, 134, 228, 242, 38, 101, 23, 110, 125, 193, 68, 115, 195, 45, 15, 184, 87, 207, 70, 26, 191, 86, 117, 120, 169, 130, 54, 10, 208, 145, 138, 143, 231, 33, 100, 173, 80, 206, 252, 36, 12, 107, 21, 7, 1, 186, 62, 179, 61}, {105, 248, 241, 247, 156, 182, 170, 162, 205, 94, 133, 110, 250, 35, 26, 99, 69, 143, 211, 132, 7, 2, 210, 237, 255, 243, 37, 113, 73, 89, 135, 188, 23, 220, 233, 70, 52, 198, 138, 3, 187, 21, 14, 4, 185, 199, 227, 251, 74, 226, 146, 178, 19, 101, 46, 165, 207, 140, 104, 145, 9, 6, 107, 42, 28, 8, 111, 147, 219, 235, 148, 217, 57, 121, 38, 202, 92, 87, 131, 5, 208, 63, 18, 12, 214, 84, 56, 16, 222}};
static int[] logArrays = {256, 0, 1, 25, 2, 50, 26, 198, 3, 223, 51, 238, 27, 104, 199, 75, 4, 100, 224, 14, 52, 141, 239, 129, 28, 193, 105, 248, 200, 8, 76, 113, 5, 138, 101, 47, 225, 36, 15, 33, 53, 147, 142, 218, 240, 18, 130, 69, 29, 181, 194, 125, 106, 39, 249, 185, 201, 154, 9, 120, 77, 228, 114, 166, 6, 191, 139, 98, 102, 221, 48, 253, 226, 152, 37, 179, 16, 145, 34, 136, 54, 208, 148, 206, 143, 150, 219, 189, 241, 210, 19, 92, 131, 56, 70, 64, 30, 66, 182, 163, 195, 72, 126, 110, 107, 58, 40, 84, 250, 133, 186, 61, 202, 94, 155, 159, 10, 21, 121, 43, 78, 212, 229, 172, 115, 243, 167, 87, 7, 112, 192, 247, 140, 128, 99, 13, 103, 74, 222, 237, 49, 197, 254, 24, 227, 165, 153, 119, 38, 184, 180, 124, 17, 68, 146, 217, 35, 32, 137, 46, 55, 63, 209, 91, 149, 188, 207, 205, 144, 135, 151, 178, 220, 252, 190, 97, 242, 86, 211, 171, 20, 42, 93, 158, 132, 60, 57, 83, 71, 109, 65, 162, 31, 45, 67, 216, 183, 123, 164, 118, 196, 23, 73, 236, 127, 12, 111, 246, 108, 161, 59, 82, 41, 157, 85, 170, 251, 96, 134, 177, 187, 204, 62, 90, 203, 89, 95, 176, 156, 169, 160, 81, 11, 245, 22, 235, 122, 117, 44, 215, 79, 174, 213, 233, 230, 231, 173, 232, 116, 214, 244, 234, 168, 80, 88, 175};
static int[] expArrays = {1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1, 2, 4};
// Encode
static void encode(byte[] codeWord, byte[] message, int mBitSize, int n1, int paramK, int paramG, int[] rsPoly)
{
int gateValue = 0;
byte[] encodedBytes = new byte[n1];
int[] tmp = new int[paramG];
byte[] msgByte = Arrays.clone(message);
for (int i = 0; i < paramK; i++)
{
gateValue = Utils.toUnsigned8bits(msgByte[paramK - 1 - i] ^ encodedBytes[n1 - paramK - 1]);
for (int j = 0; j < paramG; j++)
{
tmp[j] = GFCalculator.mult(gateValue, rsPoly[j]);
int n = 1;
}
for (int j = n1 - paramK - 1; j > 0; j--)
{
encodedBytes[j] = (byte)(encodedBytes[j - 1] ^ tmp[j]);
}
encodedBytes[0] = (byte)(tmp[0]);
}
System.arraycopy(msgByte, 0, encodedBytes, n1 - paramK, paramK);
System.arraycopy(encodedBytes, 0, codeWord, 0, codeWord.length);
}
// Decode
static void decode(byte[] message, byte[] codeWord, int n1, int fft, int delta, int paramK, int paramG)
{
int fftSize = 1 << fft;
int mSize = 1 << (HQCParameters.PARAM_M - 1);
byte[] codeWordByte = Arrays.clone(codeWord);
int[] syndromes = new int[2 * delta];
// Step 1: Compute syndromes
computeSyndromes(syndromes, codeWordByte, delta, n1);
// Step 2: Compute the error locator polynomial sigma
int[] sigma = new int[fftSize];
int degSigma = computeELP(sigma, syndromes, delta);
// Step 3: Compute roots using FFT
int[] fftRes = new int[1 << HQCParameters.PARAM_M];
byte[] errorSet = new byte[1 << HQCParameters.PARAM_M];
FastFourierTransform.fastFourierTransform(fftRes, sigma, delta + 1, fft);
FastFourierTransform.fastFourierTransformGetError(errorSet, fftRes, mSize, logArrays);
// Step 4: Compute z(x)
int[] zx = new int[n1];
computeZx(zx, sigma, degSigma, syndromes, delta);
// Step 5: Compute errors
int[] errors = new int[n1];
computeErrors(errors, zx, errorSet, delta, n1);
// Step 6: Correct errors
for (int i = 0; i < n1; i++)
{
codeWordByte[i] ^= errors[i];
}
byte[] mTmp = new byte[paramK];
System.arraycopy(codeWordByte, paramG - 1, mTmp, 0, paramK);
System.arraycopy(mTmp, 0, message, 0, message.length);
}
private static void computeSyndromes(int[] syndromes, byte[] codeWord, int delta, int n1)
{
if (n1 == 46)
{
for (int i = 0; i < 2 * delta; i++)
{
for (int j = 1; j < n1; j++)
{
syndromes[i] ^= GFCalculator.mult(Utils.toUnsigned8bits(codeWord[j]), alpha128[i][j - 1]);
}
syndromes[i] ^= Utils.toUnsigned8bits(codeWord[0]);
}
}
else if (n1 == 56)
{
for (int i = 0; i < 2 * delta; i++)
{
for (int j = 1; j < n1; j++)
{
syndromes[i] ^= GFCalculator.mult(Utils.toUnsigned8bits(codeWord[j]), alpha192[i][j - 1]);
}
syndromes[i] ^= Utils.toUnsigned8bits(codeWord[0]);
}
}
else if (n1 == 90)
{
for (int i = 0; i < 2 * delta; i++)
{
for (int j = 1; j < n1; j++)
{
syndromes[i] ^= GFCalculator.mult(Utils.toUnsigned8bits(codeWord[j]), alpha256[i][j - 1]);
}
syndromes[i] ^= Utils.toUnsigned8bits(codeWord[0]);
}
}
}
private static int computeELP(int[] sigma, int[] syndromes, int delta)
{
sigma[0] = 1;
int degSigma = 0;
int degSigmaP = 0;
int[] sigmaDup = new int[delta + 1];
int[] sigmaP = new int[delta + 1];
int degSigmaDup = 0;
int pp = Utils.toUnsigned16Bits(-1);
int dp = 1;
int d = syndromes[0];
sigmaP[1] = 1;
for (int i = 0; i < 2 * delta; i++)
{
System.arraycopy(sigma, 0, sigmaDup, 0, delta + 1);
degSigmaDup = degSigma;
int dd = GFCalculator.mult(d, GFCalculator.inverse(dp));
for (int j = 1; j <= i + 1 && j <= delta; j++)
{
sigma[j] ^= GFCalculator.mult(dd, sigmaP[j]);
}
int degX = Utils.toUnsigned16Bits(i - pp);
int degXSigmaP = Utils.toUnsigned16Bits(degX + degSigmaP);
int firstMask = d != 0 ? 0xffff : 0;
int secondMask = degXSigmaP > degSigma ? 0xffff : 0;
int mask = firstMask & secondMask;
degSigma ^= mask & (degXSigmaP ^ degSigma);
if (i == (2 * delta - 1))
{
break;
}
pp ^= mask & (i ^ pp);
dp ^= mask & (d ^ dp);
for (int k = delta; k > 0; k--)
{
sigmaP[k] = (mask & sigmaDup[k - 1]) ^ (~mask & sigmaP[k - 1]);
}
degSigmaP ^= mask & (degSigmaDup ^ degSigmaP);
d = syndromes[i + 1];
for (int k = 1; k <= i + 1 && k <= delta; k++)
{
d ^= GFCalculator.mult(sigma[k], syndromes[i + 1 - k]);
}
}
return degSigma;
}
private static void computeZx(int[] output, int[] sigma, int deg, int[] syndromes, int delta)
{
output[0] = 1;
for (int i = 1; i < delta + 1; i++)
{
int mask = i - deg < 1 ? 0xffff : 0;
output[i] = mask & sigma[i];
}
output[1] ^= syndromes[0];
for (int i = 2; i <= delta; i++)
{
int mask = i - deg < 1 ? 0xffff : 0;
output[i] = mask & sigma[i - 1];
for (int j = 1; j < i; j++)
{
output[i] ^= (mask) & GFCalculator.mult(sigma[j], syndromes[i - j - 1]);
}
}
}
private static void computeErrors(int[] res, int[] zx, byte[] errorCompactSet, int delta, int n1)
{
int[] betaSet = new int[delta];
int[] eSet = new int[delta];
int deltaCount = 0;
int deltaVal = 0;
int mask1 = 0;
for (int i = 0; i < n1; i++)
{
int mark = 0;
int mask = errorCompactSet[i] != 0 ? 0xffff : 0;
for (int j = 0; j < delta; j++)
{
int iMask = j == deltaCount ? 0xffff : 0;
betaSet[j] += iMask & mask & expArrays[i];
mark += iMask & mask & 1;
}
deltaCount += mark;
}
deltaVal = deltaCount;
for (int i = 0; i < delta; i++)
{
int temp1 = 1;
int temp2 = 1;
int inv = GFCalculator.inverse(betaSet[i]);
int invPow = 1;
for (int j = 1; j <= delta; j++)
{
invPow = GFCalculator.mult(invPow, inv);
temp1 ^= GFCalculator.mult(invPow, zx[j]);
}
for (int j = 1; j < delta; j++)
{
temp2 = GFCalculator.mult(temp2, (1 ^ GFCalculator.mult(inv, betaSet[(i + j) % delta])));
}
mask1 = i < deltaVal ? 0xffff : 0;
eSet[i] = mask1 & GFCalculator.mult(temp1, GFCalculator.inverse(temp2));
}
deltaCount = 0;
for (int i = 0; i < n1; i++)
{
int mark = 0;
int mask = errorCompactSet[i] != 0 ? 0xffff : 0;
for (int j = 0; j < delta; j++)
{
int iMask = j == deltaCount ? 0xffff : 0;
res[i] += iMask & mask & eSet[j];
mark += iMask & mask & 1;
}
deltaCount += mark;
}
}
}
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