diff --git a/codecAO40.cpp b/codecAO40.cpp new file mode 100644 index 00000000..89073739 --- /dev/null +++ b/codecAO40.cpp @@ -0,0 +1,516 @@ +#include +#include "codecAO40.h" + +/* ---------------------- */ +/* AO40 Encoder - Decoder */ +/* ---------------------- */ + +/* Scramble and RS encode 256 byte blocks of data into 5200 bits + * or Descramble and RS decode 5200 bits into the 256 bytes of data + * + * -------------------------------------------------------------------------- + * This decoder has evolved extensively through the work of Phil Karn. It draws + * on his own ideas and optimisations, and on the work of others. The lineage + * is as below, and parts of the authors' notices are included here. (JRM) + + * AO40 encoder / decoder + * Copyright 2002 Phil Karn, KA9Q + * May be used under the terms of the GNU General Public License (GPL) + * + * Reed-Solomon coding and decoding + * Phil Karn (karn@ka9q.ampr.org) September 1996 + * + * This file is derived from the program "new_rs_erasures.c" by Robert + * Morelos-Zaragoza (robert@spectra.eng.hawaii.edu) and Hari Thirumoorthy + * (harit@spectra.eng.hawaii.edu), Aug 1995 + * -------------------------------------------------------------------------- + * + * From the RM-Z & HT program: + * The encoding and decoding methods are based on the + * book "Error Control Coding: Fundamentals and Applications", + * by Lin and Costello, Prentice Hall, 1983, ISBN 0-13-283796-X + * Portions of this program are from a Reed-Solomon encoder/decoder + * in C, written by Simon Rockliff (simon@augean.ua.oz.au) on 21/9/89. + * -------------------------------------------------------------------------- + * + * From the 1989/1991 SR program (also based on Lin and Costello): + * This program may be freely modified and/or given to whoever wants it. + * A condition of such distribution is that the author's contribution be + * acknowledged by his name being left in the comments heading the program, + * Simon Rockliff, 26th June 1991 + * + */ + +/* Defines for RS Decoder(s) */ +#ifndef min +#define min(a,b) ((a) < (b) ? (a) : (b)) +#endif + +CCodecAO40::CCodecAO40(void) +{ +} + + +CCodecAO40::~CCodecAO40(void) +{ +} + + +int CCodecAO40::mod255(int x) { + while (x >= 255) { + x -= 255; + x = (x >> 8) + (x & 255); + } + return x; +} + +int CCodecAO40::decode_rs_8(char *data, int *eras_pos, int no_eras){ + + int deg_lambda, el, deg_omega; + int i, j, r,k; + unsigned char u,q,tmp,num1,num2,den,discr_r; + unsigned char lambda[NROOTS+1], s[NROOTS]; /* Err+Eras Locator poly and syndrome poly */ + unsigned char b[NROOTS+1], t[NROOTS+1], omega[NROOTS+1]; + unsigned char root[NROOTS], reg[NROOTS+1], loc[NROOTS]; + int syn_error, count; + + /* form the syndromes; i.e., evaluate data(x) at roots of g(x) */ + for(i=0;i 0) { + /* Init lambda to be the erasure locator polynomial */ + lambda[1] = ALPHA_TO[mod255(PRIM*(NN-1-eras_pos[0]))]; + for (i = 1; i < no_eras; i++) { + u = mod255(PRIM*(NN-1-eras_pos[i])); + for (j = i+1; j > 0; j--) { + tmp = INDEX_OF[lambda[j - 1]]; + if(tmp != A0) + lambda[j] ^= ALPHA_TO[mod255(u + tmp)]; + } + } + } + for(i=0;i 0; j--){ + if (reg[j] != A0) { + reg[j] = mod255(reg[j] + j); + q ^= ALPHA_TO[reg[j]]; + } + } + if (q != 0) + continue; /* Not a root */ + /* store root (index-form) and error location number */ + root[count] = i; + loc[count] = k; + /* If we've already found max possible roots, + * abort the search to save time + */ + if(++count == deg_lambda) + break; + } + if (deg_lambda != count) { + /* + * deg(lambda) unequal to number of roots => uncorrectable + * error detected + */ + count = -1; + goto finish; + } + /* + * Compute err+eras evaluator poly omega(x) = s(x)*lambda(x) (modulo + * x**NROOTS). in index form. Also find deg(omega). + */ + deg_omega = 0; + for (i = 0; i < NROOTS;i++){ + tmp = 0; + j = (deg_lambda < i) ? deg_lambda : i; + for(;j >= 0; j--){ + if ((s[i - j] != A0) && (lambda[j] != A0)) + tmp ^= ALPHA_TO[mod255(s[i - j] + lambda[j])]; + } + if(tmp != 0) + deg_omega = i; + omega[i] = INDEX_OF[tmp]; + } + omega[NROOTS] = A0; + + /* + * Compute error values in poly-form. num1 = omega(inv(X(l))), num2 = + * inv(X(l))**(FCR-1) and den = lambda_pr(inv(X(l))) all in poly-form + */ + for (j = count-1; j >=0; j--) { + num1 = 0; + for (i = deg_omega; i >= 0; i--) { + if (omega[i] != A0) + num1 ^= ALPHA_TO[mod255(omega[i] + i * root[j])]; + } + num2 = ALPHA_TO[mod255(root[j] * (FCR - 1) + NN)]; + den = 0; + + /* lambda[i+1] for i even is the formal derivative lambda_pr of lambda[i] */ + for (i = min(deg_lambda,NROOTS-1) & ~1; i >= 0; i -=2) { + if(lambda[i+1] != A0) + den ^= ALPHA_TO[mod255(lambda[i+1] + i * root[j])]; + } + if (den == 0) { + count = -1; + goto finish; + } + /* Apply error to data */ + if (num1 != 0) { + data[loc[j]] ^= ALPHA_TO[mod255(INDEX_OF[num1] + INDEX_OF[num2] + NN - INDEX_OF[den])]; + } + } +finish: + if(eras_pos != NULL){ + for(i=0;i> 7); + c <<= 1; + interleave_symbol( Partab[m_conv_sr & CPOLYA]); + interleave_symbol(!Partab[m_conv_sr & CPOLYB]); /* Second encoder symbol is inverted */ + } +} + +/* Scramble a byte, convolutionally encode and interleave into frame */ +void CCodecAO40::scramble_and_encode(unsigned char c){ + c ^= Scrambler[m_encoded_bytes]; /* Scramble byte */ + encode_and_interleave(c,8); /* RS encode and place into reencode buffer */ +} + +/* Encodes the 256 byte source block RSdecdata[] into 5200 byte block of symbols +* results stored in m_encoded. +* On success encoded buffer is returned, an zeroed buffer on failure +*/ +const unsigned char *CCodecAO40::encode(unsigned char *source_bytes, int byte_count) +{ + if(BLOCKSIZE != byte_count || NULL == source_bytes ) + { + memset(m_encoded, 0, BLOCKSIZE); + return m_encoded; + } + + init_encoder(); + + for(int i=0;i>1]; + scramble_and_encode(c); + if(++m_encoded_bytes == 320){ + /* Tail off the convolutional encoder (flush) */ + encode_and_interleave(0,6); + } +} + + + +void CCodecAO40::descramble_to_rsblocks(unsigned char viterbi_decoded[NBITS_OUT], char rsblocks[RSBLOCKS][NN]) +{ + /* interleave into Reed Solomon codeblocks */ + memset(rsblocks,0,RSBLOCKS*NN); /* Zero rsblocks array */ + int di = 0; + int si = 0; + for(int col=RSPAD;col>7) ) + { + error_count++ ; + } + } + return error_count; +} diff --git a/codecAO40.h b/codecAO40.h new file mode 100644 index 00000000..f7f1238d --- /dev/null +++ b/codecAO40.h @@ -0,0 +1,65 @@ +/* AO40 encoder / decoder + * Copyright 2002 Phil Karn, KA9Q + * May be used under the terms of the GNU General Public License (GPL) + * See CodecAO40.cpp for lineage + * + * This file is part of FUNcubeLib. + * + * FUNcubeLib is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * FUNcubeLib is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with FUNcubeLib If not, see . + * +*/ + +#pragma once + +#include "fecConstants.h" + +class CCodecAO40 +{ +public: + CCodecAO40(void); + virtual ~CCodecAO40(void); + + int decode(unsigned char viterbi_decoded[NBITS_OUT], unsigned char *decoded_data); + + /* Encodes the 256 byte source block into 5200 byte block of symbols into m_encoded buffer */ + const unsigned char *encode( + unsigned char *source_bytes, /* input to encode */ + int byte_count); /* input length in bytes */ + + /* Compares raw input symbols to current buffer of encoded symbols and counts the errors */ + int count_errors( unsigned char *raw_symbols); + +private: + int mod255(int x); + int decode_rs_8(char *data, int *eras_pos, int no_eras); + void scramble_and_encode(unsigned char c); + void encode_and_interleave(unsigned char c,int cnt); + + void descramble_to_rsblocks( + unsigned char viterbi_decoded[NBITS_OUT], + char rsblocks[RSBLOCKS][NN]); + + void init_encoder(void); + void encode_byte(unsigned char c); + void encode_parity(void); + + void interleave_symbol(int c); + + int m_encoded_bytes; /* Byte counter for encode_data() */ + int m_ileaver_index; /* Byte counter for interleaver */ + unsigned char m_conv_sr; /* Convolutional encoder shift register state */ + + unsigned char m_RS_block[RSBLOCKS][NROOTS]; /* RS parity blocks */ + unsigned char m_encoded[SYMPBLOCK] ; /* encoded symbols */ +}; diff --git a/fecConstants.h b/fecConstants.h new file mode 100644 index 00000000..850c0aa6 --- /dev/null +++ b/fecConstants.h @@ -0,0 +1,128 @@ +#pragma once + +/* + Amsat P3 FEC Encoder/decoder system. Look-up tables + Created by Phil Karn KA9Q and James Miller G3RUH + Last modified 2003 Jun 20 +*/ + +/* Defines for Viterbi Decoder for r=1/2 k=7 (to CCSDS convention) */ +#define K 7 /* Constraint length */ +#define N 2 /* Number of symbols per data bit */ +#define CPOLYA 0x4f /* First convolutional encoder polynomial */ +#define CPOLYB 0x6d /* Second convolutional encoder polynomial */ + +#define SYNC_POLY 0x48 /* Sync vector PN polynomial */ + +#define NN 255 +#define KK 223 +#define NROOTS 32 /* NN-KK */ +#define A0 (NN) +#define FCR 112 +#define PRIM 11 +#define IPRIM 116 +#define BLOCKSIZE 256 /* Data bytes per frame */ +#define RSBLOCKS 2 /* Number of RS decoder blocks */ +#define RSPAD 95 /* Unused bytes in block (KK-BLOCKSIZE/RSBLOCKS) */ + +/* Defines for Interleaver */ +#define ROWS 80 /* Block interleaver rows */ +#define COLUMNS 65 /* Block interleaver columns */ +#define SYMPBLOCK (ROWS*COLUMNS) /* Encoded symbols per block */ + +/* Number of symbols in an FEC block that are */ +/* passed to the Viterbi decoder (320*8 + 6) */ +#define NBITS ((BLOCKSIZE+NROOTS*RSBLOCKS)*8+K-1) +/* Number of bits obtained from Viterbi decoder */ +#define NBITS_OUT (BLOCKSIZE+NROOTS*RSBLOCKS) + +const unsigned char RS_poly[] = { + 249, 59, 66, 4, 43,126,251, 97, 30, 3,213, 50, 66,170, 5, 24 +}; + +/* Tables for RS decoder */ +/* Galois field log/antilog tables */ +const unsigned char ALPHA_TO[] = +{ + 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x87, 0x89, 0x95, 0xad, 0xdd, 0x3d, 0x7a, 0xf4, + 0x6f, 0xde, 0x3b, 0x76, 0xec, 0x5f, 0xbe, 0xfb, 0x71, 0xe2, 0x43, 0x86, 0x8b, 0x91, 0xa5, 0xcd, + 0x1d, 0x3a, 0x74, 0xe8, 0x57, 0xae, 0xdb, 0x31, 0x62, 0xc4, 0x0f, 0x1e, 0x3c, 0x78, 0xf0, 0x67, + 0xce, 0x1b, 0x36, 0x6c, 0xd8, 0x37, 0x6e, 0xdc, 0x3f, 0x7e, 0xfc, 0x7f, 0xfe, 0x7b, 0xf6, 0x6b, + 0xd6, 0x2b, 0x56, 0xac, 0xdf, 0x39, 0x72, 0xe4, 0x4f, 0x9e, 0xbb, 0xf1, 0x65, 0xca, 0x13, 0x26, + 0x4c, 0x98, 0xb7, 0xe9, 0x55, 0xaa, 0xd3, 0x21, 0x42, 0x84, 0x8f, 0x99, 0xb5, 0xed, 0x5d, 0xba, + 0xf3, 0x61, 0xc2, 0x03, 0x06, 0x0c, 0x18, 0x30, 0x60, 0xc0, 0x07, 0x0e, 0x1c, 0x38, 0x70, 0xe0, + 0x47, 0x8e, 0x9b, 0xb1, 0xe5, 0x4d, 0x9a, 0xb3, 0xe1, 0x45, 0x8a, 0x93, 0xa1, 0xc5, 0x0d, 0x1a, + 0x34, 0x68, 0xd0, 0x27, 0x4e, 0x9c, 0xbf, 0xf9, 0x75, 0xea, 0x53, 0xa6, 0xcb, 0x11, 0x22, 0x44, + 0x88, 0x97, 0xa9, 0xd5, 0x2d, 0x5a, 0xb4, 0xef, 0x59, 0xb2, 0xe3, 0x41, 0x82, 0x83, 0x81, 0x85, + 0x8d, 0x9d, 0xbd, 0xfd, 0x7d, 0xfa, 0x73, 0xe6, 0x4b, 0x96, 0xab, 0xd1, 0x25, 0x4a, 0x94, 0xaf, + 0xd9, 0x35, 0x6a, 0xd4, 0x2f, 0x5e, 0xbc, 0xff, 0x79, 0xf2, 0x63, 0xc6, 0x0b, 0x16, 0x2c, 0x58, + 0xb0, 0xe7, 0x49, 0x92, 0xa3, 0xc1, 0x05, 0x0a, 0x14, 0x28, 0x50, 0xa0, 0xc7, 0x09, 0x12, 0x24, + 0x48, 0x90, 0xa7, 0xc9, 0x15, 0x2a, 0x54, 0xa8, 0xd7, 0x29, 0x52, 0xa4, 0xcf, 0x19, 0x32, 0x64, + 0xc8, 0x17, 0x2e, 0x5c, 0xb8, 0xf7, 0x69, 0xd2, 0x23, 0x46, 0x8c, 0x9f, 0xb9, 0xf5, 0x6d, 0xda, + 0x33, 0x66, 0xcc, 0x1f, 0x3e, 0x7c, 0xf8, 0x77, 0xee, 0x5b, 0xb6, 0xeb, 0x51, 0xa2, 0xc3, 0x00, +}; + +const unsigned char INDEX_OF[]= +{ + 0xff, 0x00, 0x01, 0x63, 0x02, 0xc6, 0x64, 0x6a, 0x03, 0xcd, 0xc7, 0xbc, 0x65, 0x7e, 0x6b, 0x2a, + 0x04, 0x8d, 0xce, 0x4e, 0xc8, 0xd4, 0xbd, 0xe1, 0x66, 0xdd, 0x7f, 0x31, 0x6c, 0x20, 0x2b, 0xf3, + 0x05, 0x57, 0x8e, 0xe8, 0xcf, 0xac, 0x4f, 0x83, 0xc9, 0xd9, 0xd5, 0x41, 0xbe, 0x94, 0xe2, 0xb4, + 0x67, 0x27, 0xde, 0xf0, 0x80, 0xb1, 0x32, 0x35, 0x6d, 0x45, 0x21, 0x12, 0x2c, 0x0d, 0xf4, 0x38, + 0x06, 0x9b, 0x58, 0x1a, 0x8f, 0x79, 0xe9, 0x70, 0xd0, 0xc2, 0xad, 0xa8, 0x50, 0x75, 0x84, 0x48, + 0xca, 0xfc, 0xda, 0x8a, 0xd6, 0x54, 0x42, 0x24, 0xbf, 0x98, 0x95, 0xf9, 0xe3, 0x5e, 0xb5, 0x15, + 0x68, 0x61, 0x28, 0xba, 0xdf, 0x4c, 0xf1, 0x2f, 0x81, 0xe6, 0xb2, 0x3f, 0x33, 0xee, 0x36, 0x10, + 0x6e, 0x18, 0x46, 0xa6, 0x22, 0x88, 0x13, 0xf7, 0x2d, 0xb8, 0x0e, 0x3d, 0xf5, 0xa4, 0x39, 0x3b, + 0x07, 0x9e, 0x9c, 0x9d, 0x59, 0x9f, 0x1b, 0x08, 0x90, 0x09, 0x7a, 0x1c, 0xea, 0xa0, 0x71, 0x5a, + 0xd1, 0x1d, 0xc3, 0x7b, 0xae, 0x0a, 0xa9, 0x91, 0x51, 0x5b, 0x76, 0x72, 0x85, 0xa1, 0x49, 0xeb, + 0xcb, 0x7c, 0xfd, 0xc4, 0xdb, 0x1e, 0x8b, 0xd2, 0xd7, 0x92, 0x55, 0xaa, 0x43, 0x0b, 0x25, 0xaf, + 0xc0, 0x73, 0x99, 0x77, 0x96, 0x5c, 0xfa, 0x52, 0xe4, 0xec, 0x5f, 0x4a, 0xb6, 0xa2, 0x16, 0x86, + 0x69, 0xc5, 0x62, 0xfe, 0x29, 0x7d, 0xbb, 0xcc, 0xe0, 0xd3, 0x4d, 0x8c, 0xf2, 0x1f, 0x30, 0xdc, + 0x82, 0xab, 0xe7, 0x56, 0xb3, 0x93, 0x40, 0xd8, 0x34, 0xb0, 0xef, 0x26, 0x37, 0x0c, 0x11, 0x44, + 0x6f, 0x78, 0x19, 0x9a, 0x47, 0x74, 0xa7, 0xc1, 0x23, 0x53, 0x89, 0xfb, 0x14, 0x5d, 0xf8, 0x97, + 0x2e, 0x4b, 0xb9, 0x60, 0x0f, 0xed, 0x3e, 0xe5, 0xf6, 0x87, 0xa5, 0x17, 0x3a, 0xa3, 0x3c, 0xb7, +}; + +/* 8-bit parity table */ +const unsigned char Partab[] = { + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, +}; + +/* Scramble byte table */ +const unsigned char Scrambler[]= +{ + 0xff, 0x48, 0x0e, 0xc0, 0x9a, 0x0d, 0x70, 0xbc, 0x8e, 0x2c, 0x93, 0xad, 0xa7, 0xb7, 0x46, 0xce, + 0x5a, 0x97, 0x7d, 0xcc, 0x32, 0xa2, 0xbf, 0x3e, 0x0a, 0x10, 0xf1, 0x88, 0x94, 0xcd, 0xea, 0xb1, + 0xfe, 0x90, 0x1d, 0x81, 0x34, 0x1a, 0xe1, 0x79, 0x1c, 0x59, 0x27, 0x5b, 0x4f, 0x6e, 0x8d, 0x9c, + 0xb5, 0x2e, 0xfb, 0x98, 0x65, 0x45, 0x7e, 0x7c, 0x14, 0x21, 0xe3, 0x11, 0x29, 0x9b, 0xd5, 0x63, + 0xfd, 0x20, 0x3b, 0x02, 0x68, 0x35, 0xc2, 0xf2, 0x38, 0xb2, 0x4e, 0xb6, 0x9e, 0xdd, 0x1b, 0x39, + 0x6a, 0x5d, 0xf7, 0x30, 0xca, 0x8a, 0xfc, 0xf8, 0x28, 0x43, 0xc6, 0x22, 0x53, 0x37, 0xaa, 0xc7, + 0xfa, 0x40, 0x76, 0x04, 0xd0, 0x6b, 0x85, 0xe4, 0x71, 0x64, 0x9d, 0x6d, 0x3d, 0xba, 0x36, 0x72, + 0xd4, 0xbb, 0xee, 0x61, 0x95, 0x15, 0xf9, 0xf0, 0x50, 0x87, 0x8c, 0x44, 0xa6, 0x6f, 0x55, 0x8f, + 0xf4, 0x80, 0xec, 0x09, 0xa0, 0xd7, 0x0b, 0xc8, 0xe2, 0xc9, 0x3a, 0xda, 0x7b, 0x74, 0x6c, 0xe5, + 0xa9, 0x77, 0xdc, 0xc3, 0x2a, 0x2b, 0xf3, 0xe0, 0xa1, 0x0f, 0x18, 0x89, 0x4c, 0xde, 0xab, 0x1f, + 0xe9, 0x01, 0xd8, 0x13, 0x41, 0xae, 0x17, 0x91, 0xc5, 0x92, 0x75, 0xb4, 0xf6, 0xe8, 0xd9, 0xcb, + 0x52, 0xef, 0xb9, 0x86, 0x54, 0x57, 0xe7, 0xc1, 0x42, 0x1e, 0x31, 0x12, 0x99, 0xbd, 0x56, 0x3f, + 0xd2, 0x03, 0xb0, 0x26, 0x83, 0x5c, 0x2f, 0x23, 0x8b, 0x24, 0xeb, 0x69, 0xed, 0xd1, 0xb3, 0x96, + 0xa5, 0xdf, 0x73, 0x0c, 0xa8, 0xaf, 0xcf, 0x82, 0x84, 0x3c, 0x62, 0x25, 0x33, 0x7a, 0xac, 0x7f, + 0xa4, 0x07, 0x60, 0x4d, 0x06, 0xb8, 0x5e, 0x47, 0x16, 0x49, 0xd6, 0xd3, 0xdb, 0xa3, 0x67, 0x2d, + 0x4b, 0xbe, 0xe6, 0x19, 0x51, 0x5f, 0x9f, 0x05, 0x08, 0x78, 0xc4, 0x4a, 0x66, 0xf5, 0x58, 0xff, + 0x48, 0x0e, 0xc0, 0x9a, 0x0d, 0x70, 0xbc, 0x8e, 0x2c, 0x93, 0xad, 0xa7, 0xb7, 0x46, 0xce, 0x5a, + 0x97, 0x7d, 0xcc, 0x32, 0xa2, 0xbf, 0x3e, 0x0a, 0x10, 0xf1, 0x88, 0x94, 0xcd, 0xea, 0xb1, 0xfe, + 0x90, 0x1d, 0x81, 0x34, 0x1a, 0xe1, 0x79, 0x1c, 0x59, 0x27, 0x5b, 0x4f, 0x6e, 0x8d, 0x9c, 0xb5, + 0x2e, 0xfb, 0x98, 0x65, 0x45, 0x7e, 0x7c, 0x14, 0x21, 0xe3, 0x11, 0x29, 0x9b, 0xd5, 0x63, 0xfd, +};