aes.c

flint库 RSA算法

/******************************************************************************/
/*                                                                            */
/* Functions for arithmetic and number theory with large integers in C        */
/* Software supplement to the book "Cryptography in C and C++"                */
/* by Michael Welschenbach                                                    */
/*                                                                            */
/* Module aes.c            Revision: 17.11.2002                               */
/*                                                                            */
/*  Copyright (C) 1998-2005 by Michael Welschenbach                           */
/*  Copyright (C) 2001-2005 by Springer-Verlag Berlin, Heidelberg             */
/*  Copyright (C) 2001-2005 by Apress L.P., Berkeley, CA                      */
/*  Copyright (C) 2002-2005 by Wydawnictwa MIKOM, Poland                      */
/*  Copyright (C) 2002-2005 by PHEI, P.R.China                                */
/*  Copyright (C) 2002-2005 by InfoBook, Korea                                */
/*  Copyright (C) 2002-2005 by Triumph Publishing, Russia                     */
/*                                                                            */
/*  All Rights Reserved                                                       */
/*                                                                            */
/*  The software may be used for noncommercial purposes and may be altered,   */
/*  as long as the following conditions are accepted without any              */
/*  qualification:                                                            */
/*                                                                            */
/*  (1) All changes to the sources must be identified in such a way that the  */
/*      changed software cannot be misinterpreted as the original software.   */
/*                                                                            */
/*  (2) The statements of copyright may not be removed or altered.            */
/*                                                                            */
/*  (3) The following DISCLAIMER is accepted:                                 */
/*                                                                            */
/*  DISCLAIMER:                                                               */
/*                                                                            */
/*  There is no warranty for the software contained in this distribution, to  */
/*  the extent permitted by applicable law. The copyright holders provide the */
/*  software `as is' without warranty of any kind, either expressed or        */
/*  implied, including, but not limited to, the implied warranty of fitness   */
/*  for a particular purpose. The entire risk as to the quality and           */
/*  performance of the program is with you.                                   */
/*                                                                            */
/*  In no event unless required by applicable law or agreed to in writing     */
/*  will the copyright holders, or any of the individual authors named in     */
/*  the source files, be liable to you for damages, including any general,    */
/*  special, incidental or consequential damages arising out of any use of    */
/*  the software or out of inability to use the software (including but not   */
/*  limited to any financial losses, loss of data or data being rendered      */
/*  inaccurate or losses sustained by you or by third parties as a result of  */
/*  a failure of the software to operate with any other programs), even if    */
/*  such holder or other party has been advised of the possibility of such    */
/*  damages.                                                                  */
/*                                                                            */
/******************************************************************************/

#include <stdio.h>
#include <memory.h>
#include <string.h>
#include "flint.h"
#include "aes.h"


/* Macros */

#ifndef inline
#if (_MSC_VER >= 1100) || defined __GNUC__
#define inline __inline
#else 
#define inline /**/
#endif
#endif

/* Macro SubWord used in function AESKeyExpansion() */
#define SubWord(X)\
   {(X) = SBox[(X) & 0xff]\
        | (SBox[((X) >>  8) & 0xff] <<  8)\
        | (SBox[((X) >> 16) & 0xff] << 16)\
        | (SBox[((X) >> 24) & 0xff] << 24);}

#define ROR(X, N)   (((X) >> (N)) | ((X) << (32-(N))))
#define ROL(X, N)   (((X) << (N)) | ((X) >> (32-(N))))

/* Variables */

/* int Nk := Length of cipher key as in 4-byte words {128/32, 192/32, 256/32} */
/* int Nb := Blocklength as in 4-byte words {128/32, 192/32, 256/32} */
/* int Nr := Number of rounds {10, 12, 14} */

/* Arrays */

/* AESKEY CipherKey := Cipher key provided by the user */
/* AESKEYSCHED ExpandedKey := Key schedule */
/* AESROUNDKEY RoundKey := Portion of the key schedule for one round */
/* AESSTATE State := Data representing the cipher text in each round */
/* UCHAR RC[31] := Constants rc(j), j = 1,...,30*/
/* UCHAR shifts[3][3] := Constants for rotations in ShiftRows */

/* Constants */

/* Number of Rounds as functions of Nb and NK */

UCHAR NR[3][3] = {{10, 12, 14}, {12, 12, 14}, {14, 14, 14}};

/* Notice: rc[0] is wasted, counting of rc() starts with 1 */
UCHAR rc[] = {0x00, 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1B, 0x36,
              0x6C, 0xD8, 0xAB, 0x4D, 0x9A, 0x2F, 0x5E, 0xBC, 0x63, 0xC6, 0x97, 
              0x35, 0x6A, 0xD4, 0xB3, 0x7D, 0xFA, 0xEF, 0xC5, 0x91};


/* Shift distances */
int Shift[3][3] = {{1, 2, 3}, {1, 2, 3}, {1, 3, 4}};


/* S-Box */
static const UCHAR SBox[256] = {
  0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5,
  0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7, 0xab, 0x76,
  0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0,
  0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0,
  0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc,
  0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15,
  0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a,
  0x07, 0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75,
  0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0,
  0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84,
  0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b,
  0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf,
  0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85,
  0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8,
  0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5,
  0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2,
  0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17,
  0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73,
  0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88,
  0x46, 0xee, 0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb,
  0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c,
  0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79,
  0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9,
  0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08,
  0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6,
  0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a,
  0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e,
  0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e,
  0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94,
  0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf,
  0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68,
  0x41, 0x99, 0x2d, 0x0f, 0xb0, 0x54, 0xbb, 0x16
}; 


static const UCHAR InvSBox[256] = {
  0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38,
  0xbf, 0x40, 0xa3, 0x9e, 0x81, 0xf3, 0xd7, 0xfb,
  0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87,
  0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb,
  0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2, 0x23, 0x3d,
  0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e,
  0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2,
  0x76, 0x5b, 0xa2, 0x49, 0x6d, 0x8b, 0xd1, 0x25,
  0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16,
  0xd4, 0xa4, 0x5c, 0xcc, 0x5d, 0x65, 0xb6, 0x92,
  0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda,
  0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d, 0x84,
  0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a,
  0xf7, 0xe4, 0x58, 0x05, 0xb8, 0xb3, 0x45, 0x06,
  0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02,
  0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b,
  0x3a, 0x91, 0x11, 0x41, 0x4f, 0x67, 0xdc, 0xea,
  0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73,
  0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85,
  0xe2, 0xf9, 0x37, 0xe8, 0x1c, 0x75, 0xdf, 0x6e,
  0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89,
  0x6f, 0xb7, 0x62, 0x0e, 0xaa, 0x18, 0xbe, 0x1b,
  0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20,
  0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd, 0x5a, 0xf4,
  0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31,
  0xb1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xec, 0x5f,
  0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d,
  0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef,
  0xa0, 0xe0, 0x3b, 0x4d, 0xae, 0x2a, 0xf5, 0xb0,
  0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61,
  0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26,
  0xe1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0c, 0x7d
};


/* Map Function values of g(x) = x + 1 to Exponents, */
/* e.g. (x + 1)^25 mod irred. Poly. = x = 2, hence 2 is mapped to 25  */
static const UCHAR LogTable[] = {
  0x00, 0x00, 0x19, 0x01, 0x32, 0x02, 0x1a, 0xc6,
  0x4b, 0xc7, 0x1b, 0x68, 0x33, 0xee, 0xdf, 0x03,
  0x64, 0x04, 0xe0, 0x0e, 0x34, 0x8d, 0x81, 0xef,
  0x4c, 0x71, 0x08, 0xc8, 0xf8, 0x69, 0x1c, 0xc1,
  0x7d, 0xc2, 0x1d, 0xb5, 0xf9, 0xb9, 0x27, 0x6a,
  0x4d, 0xe4, 0xa6, 0x72, 0x9a, 0xc9, 0x09, 0x78,
  0x65, 0x2f, 0x8a, 0x05, 0x21, 0x0f, 0xe1, 0x24,
  0x12, 0xf0, 0x82, 0x45, 0x35, 0x93, 0xda, 0x8e,
  0x96, 0x8f, 0xdb, 0xbd, 0x36, 0xd0, 0xce, 0x94,
  0x13, 0x5c, 0xd2, 0xf1, 0x40, 0x46, 0x83, 0x38,
  0x66, 0xdd, 0xfd, 0x30, 0xbf, 0x06, 0x8b, 0x62,
  0xb3, 0x25, 0xe2, 0x98, 0x22, 0x88, 0x91, 0x10,
  0x7e, 0x6e, 0x48, 0xc3, 0xa3, 0xb6, 0x1e, 0x42,
  0x3a, 0x6b, 0x28, 0x54, 0xfa, 0x85, 0x3d, 0xba,
  0x2b, 0x79, 0x0a, 0x15, 0x9b, 0x9f, 0x5e, 0xca,
  0x4e, 0xd4, 0xac, 0xe5, 0xf3, 0x73, 0xa7, 0x57,
  0xaf, 0x58, 0xa8, 0x50, 0xf4, 0xea, 0xd6, 0x74,
  0x4f, 0xae, 0xe9, 0xd5, 0xe7, 0xe6, 0xad, 0xe8,
  0x2c, 0xd7, 0x75, 0x7a, 0xeb, 0x16, 0x0b, 0xf5,
  0x59, 0xcb, 0x5f, 0xb0, 0x9c, 0xa9, 0x51, 0xa0,
  0x7f, 0x0c, 0xf6, 0x6f, 0x17, 0xc4, 0x49, 0xec,
  0xd8, 0x43, 0x1f, 0x2d, 0xa4, 0x76, 0x7b, 0xb7,
  0xcc, 0xbb, 0x3e, 0x5a, 0xfb, 0x60, 0xb1, 0x86,
  0x3b, 0x52, 0xa1, 0x6c, 0xaa, 0x55, 0x29, 0x9d,
  0x97, 0xb2, 0x87, 0x90, 0x61, 0xbe, 0xdc, 0xfc,
  0xbc, 0x95, 0xcf, 0xcd, 0x37, 0x3f, 0x5b, 0xd1,
  0x53, 0x39, 0x84, 0x3c, 0x41, 0xa2, 0x6d, 0x47,
  0x14, 0x2a, 0x9e, 0x5d, 0x56, 0xf2, 0xd3, 0xab,
  0x44, 0x11, 0x92, 0xd9, 0x23, 0x20, 0x2e, 0x89,
  0xb4, 0x7c, 0xb8, 0x26, 0x77, 0x99, 0xe3, 0xa5,
  0x67, 0x4a, 0xed, 0xde, 0xc5, 0x31, 0xfe, 0x18,
  0x0d, 0x63, 0x8c, 0x80, 0xc0, 0xf7, 0x70, 0x07
};


/* Map Exponents to Powers of Generator f(x) = x + 1 of GF(2^8) */
static const UCHAR AntiLogTable[] = {
  0x01, 0x03, 0x05, 0x0f, 0x11, 0x33, 0x55, 0xff,
  0x1a, 0x2e, 0x72, 0x96, 0xa1, 0xf8, 0x13, 0x35,
  0x5f, 0xe1, 0x38, 0x48, 0xd8, 0x73, 0x95, 0xa4,
  0xf7, 0x02, 0x06, 0x0a, 0x1e, 0x22, 0x66, 0xaa,
  0xe5, 0x34, 0x5c, 0xe4, 0x37, 0x59, 0xeb, 0x26,
  0x6a, 0xbe, 0xd9, 0x70, 0x90, 0xab, 0xe6, 0x31,
  0x53, 0xf5, 0x04, 0x0c, 0x14, 0x3c, 0x44, 0xcc,
  0x4f, 0xd1, 0x68, 0xb8, 0xd3, 0x6e, 0xb2, 0xcd,
  0x4c, 0xd4, 0x67, 0xa9, 0xe0, 0x3b, 0x4d, 0xd7,
  0x62, 0xa6, 0xf1, 0x08, 0x18, 0x28, 0x78, 0x88,
  0x83, 0x9e, 0xb9, 0xd0, 0x6b, 0xbd, 0xdc, 0x7f,
  0x81, 0x98, 0xb3, 0xce, 0x49, 0xdb, 0x76, 0x9a,
  0xb5, 0xc4, 0x57, 0xf9, 0x10, 0x30, 0x50, 0xf0,
  0x0b, 0x1d, 0x27, 0x69, 0xbb, 0xd6, 0x61, 0xa3,
  0xfe, 0x19, 0x2b, 0x7d, 0x87, 0x92, 0xad, 0xec,
  0x2f, 0x71, 0x93, 0xae, 0xe9, 0x20, 0x60, 0xa0,
  0xfb, 0x16, 0x3a, 0x4e, 0xd2, 0x6d, 0xb7, 0xc2,
  0x5d, 0xe7, 0x32, 0x56, 0xfa, 0x15, 0x3f, 0x41,
  0xc3, 0x5e, 0xe2, 0x3d, 0x47, 0xc9, 0x40, 0xc0,
  0x5b, 0xed, 0x2c, 0x74, 0x9c, 0xbf, 0xda, 0x75,
  0x9f, 0xba, 0xd5, 0x64, 0xac, 0xef, 0x2a, 0x7e,
  0x82, 0x9d, 0xbc, 0xdf, 0x7a, 0x8e, 0x89, 0x80,
  0x9b, 0xb6, 0xc1, 0x58, 0xe8, 0x23, 0x65, 0xaf,
  0xea, 0x25, 0x6f, 0xb1, 0xc8, 0x43, 0xc5, 0x54,
  0xfc, 0x1f, 0x21, 0x63, 0xa5, 0xf4, 0x07, 0x09,
  0x1b, 0x2d, 0x77, 0x99, 0xb0, 0xcb, 0x46, 0xca,
  0x45, 0xcf, 0x4a, 0xde, 0x79, 0x8b, 0x86, 0x91,
  0xa8, 0xe3, 0x3e, 0x42, 0xc6, 0x51, 0xf3, 0x0e,
  0x12, 0x36, 0x5a, 0xee, 0x29, 0x7b, 0x8d, 0x8c,
  0x8f, 0x8a, 0x85, 0x94, 0xa7, 0xf2, 0x0d, 0x17,
  0x39, 0x4b, 0xdd, 0x7c, 0x84, 0x97, 0xa2, 0xfd,
  0x1c, 0x24, 0x6c, 0xb4, 0xc7, 0x52, 0xf6, 0x01, 

  0x03, 0x05, 0x0f, 0x11, 0x33, 0x55, 0xff, 0x1a,
  0x2e, 0x72, 0x96, 0xa1, 0xf8, 0x13, 0x35, 0x5f,
  0xe1, 0x38, 0x48, 0xd8, 0x73, 0x95, 0xa4, 0xf7,
  0x02, 0x06, 0x0a, 0x1e, 0x22, 0x66, 0xaa, 0xe5,
  0x34, 0x5c, 0xe4, 0x37, 0x59, 0xeb, 0x26, 0x6a,
  0xbe, 0xd9, 0x70, 0x90, 0xab, 0xe6, 0x31, 0x53,
  0xf5, 0x04, 0x0c, 0x14, 0x3c, 0x44, 0xcc, 0x4f,
  0xd1, 0x68, 0xb8, 0xd3, 0x6e, 0xb2, 0xcd, 0x4c,
  0xd4, 0x67, 0xa9, 0xe0, 0x3b, 0x4d, 0xd7, 0x62,
  0xa6, 0xf1, 0x08, 0x18, 0x28, 0x78, 0x88, 0x83,
  0x9e, 0xb9, 0xd0, 0x6b, 0xbd, 0xdc, 0x7f, 0x81,
  0x98, 0xb3, 0xce, 0x49, 0xdb, 0x76, 0x9a, 0xb5,
  0xc4, 0x57, 0xf9, 0x10, 0x30, 0x50, 0xf0, 0x0b,
  0x1d, 0x27, 0x69, 0xbb, 0xd6, 0x61, 0xa3, 0xfe,
  0x19, 0x2b, 0x7d, 0x87, 0x92, 0xad, 0xec, 0x2f,
  0x71, 0x93, 0xae, 0xe9, 0x20, 0x60, 0xa0, 0xfb,