9 #include <botan/loadstor.h>    10 #include <botan/pipe.h>    11 #include <botan/hex.h>    12 #include <botan/sha2_32.h>    13 #include <botan/sha160.h>    23 const byte RTSS_EXP[256] = {
    24 0x01, 0x03, 0x05, 0x0F, 0x11, 0x33, 0x55, 0xFF, 0x1A, 0x2E, 0x72,
    25 0x96, 0xA1, 0xF8, 0x13, 0x35, 0x5F, 0xE1, 0x38, 0x48, 0xD8, 0x73,
    26 0x95, 0xA4, 0xF7, 0x02, 0x06, 0x0A, 0x1E, 0x22, 0x66, 0xAA, 0xE5,
    27 0x34, 0x5C, 0xE4, 0x37, 0x59, 0xEB, 0x26, 0x6A, 0xBE, 0xD9, 0x70,
    28 0x90, 0xAB, 0xE6, 0x31, 0x53, 0xF5, 0x04, 0x0C, 0x14, 0x3C, 0x44,
    29 0xCC, 0x4F, 0xD1, 0x68, 0xB8, 0xD3, 0x6E, 0xB2, 0xCD, 0x4C, 0xD4,
    30 0x67, 0xA9, 0xE0, 0x3B, 0x4D, 0xD7, 0x62, 0xA6, 0xF1, 0x08, 0x18,
    31 0x28, 0x78, 0x88, 0x83, 0x9E, 0xB9, 0xD0, 0x6B, 0xBD, 0xDC, 0x7F,
    32 0x81, 0x98, 0xB3, 0xCE, 0x49, 0xDB, 0x76, 0x9A, 0xB5, 0xC4, 0x57,
    33 0xF9, 0x10, 0x30, 0x50, 0xF0, 0x0B, 0x1D, 0x27, 0x69, 0xBB, 0xD6,
    34 0x61, 0xA3, 0xFE, 0x19, 0x2B, 0x7D, 0x87, 0x92, 0xAD, 0xEC, 0x2F,
    35 0x71, 0x93, 0xAE, 0xE9, 0x20, 0x60, 0xA0, 0xFB, 0x16, 0x3A, 0x4E,
    36 0xD2, 0x6D, 0xB7, 0xC2, 0x5D, 0xE7, 0x32, 0x56, 0xFA, 0x15, 0x3F,
    37 0x41, 0xC3, 0x5E, 0xE2, 0x3D, 0x47, 0xC9, 0x40, 0xC0, 0x5B, 0xED,
    38 0x2C, 0x74, 0x9C, 0xBF, 0xDA, 0x75, 0x9F, 0xBA, 0xD5, 0x64, 0xAC,
    39 0xEF, 0x2A, 0x7E, 0x82, 0x9D, 0xBC, 0xDF, 0x7A, 0x8E, 0x89, 0x80,
    40 0x9B, 0xB6, 0xC1, 0x58, 0xE8, 0x23, 0x65, 0xAF, 0xEA, 0x25, 0x6F,
    41 0xB1, 0xC8, 0x43, 0xC5, 0x54, 0xFC, 0x1F, 0x21, 0x63, 0xA5, 0xF4,
    42 0x07, 0x09, 0x1B, 0x2D, 0x77, 0x99, 0xB0, 0xCB, 0x46, 0xCA, 0x45,
    43 0xCF, 0x4A, 0xDE, 0x79, 0x8B, 0x86, 0x91, 0xA8, 0xE3, 0x3E, 0x42,
    44 0xC6, 0x51, 0xF3, 0x0E, 0x12, 0x36, 0x5A, 0xEE, 0x29, 0x7B, 0x8D,
    45 0x8C, 0x8F, 0x8A, 0x85, 0x94, 0xA7, 0xF2, 0x0D, 0x17, 0x39, 0x4B,
    46 0xDD, 0x7C, 0x84, 0x97, 0xA2, 0xFD, 0x1C, 0x24, 0x6C, 0xB4, 0xC7,
    52 const byte RTSS_LOG[] = {
    53 0x90, 0x00, 0x19, 0x01, 0x32, 0x02, 0x1A, 0xC6, 0x4B, 0xC7, 0x1B,
    54 0x68, 0x33, 0xEE, 0xDF, 0x03, 0x64, 0x04, 0xE0, 0x0E, 0x34, 0x8D,
    55 0x81, 0xEF, 0x4C, 0x71, 0x08, 0xC8, 0xF8, 0x69, 0x1C, 0xC1, 0x7D,
    56 0xC2, 0x1D, 0xB5, 0xF9, 0xB9, 0x27, 0x6A, 0x4D, 0xE4, 0xA6, 0x72,
    57 0x9A, 0xC9, 0x09, 0x78, 0x65, 0x2F, 0x8A, 0x05, 0x21, 0x0F, 0xE1,
    58 0x24, 0x12, 0xF0, 0x82, 0x45, 0x35, 0x93, 0xDA, 0x8E, 0x96, 0x8F,
    59 0xDB, 0xBD, 0x36, 0xD0, 0xCE, 0x94, 0x13, 0x5C, 0xD2, 0xF1, 0x40,
    60 0x46, 0x83, 0x38, 0x66, 0xDD, 0xFD, 0x30, 0xBF, 0x06, 0x8B, 0x62,
    61 0xB3, 0x25, 0xE2, 0x98, 0x22, 0x88, 0x91, 0x10, 0x7E, 0x6E, 0x48,
    62 0xC3, 0xA3, 0xB6, 0x1E, 0x42, 0x3A, 0x6B, 0x28, 0x54, 0xFA, 0x85,
    63 0x3D, 0xBA, 0x2B, 0x79, 0x0A, 0x15, 0x9B, 0x9F, 0x5E, 0xCA, 0x4E,
    64 0xD4, 0xAC, 0xE5, 0xF3, 0x73, 0xA7, 0x57, 0xAF, 0x58, 0xA8, 0x50,
    65 0xF4, 0xEA, 0xD6, 0x74, 0x4F, 0xAE, 0xE9, 0xD5, 0xE7, 0xE6, 0xAD,
    66 0xE8, 0x2C, 0xD7, 0x75, 0x7A, 0xEB, 0x16, 0x0B, 0xF5, 0x59, 0xCB,
    67 0x5F, 0xB0, 0x9C, 0xA9, 0x51, 0xA0, 0x7F, 0x0C, 0xF6, 0x6F, 0x17,
    68 0xC4, 0x49, 0xEC, 0xD8, 0x43, 0x1F, 0x2D, 0xA4, 0x76, 0x7B, 0xB7,
    69 0xCC, 0xBB, 0x3E, 0x5A, 0xFB, 0x60, 0xB1, 0x86, 0x3B, 0x52, 0xA1,
    70 0x6C, 0xAA, 0x55, 0x29, 0x9D, 0x97, 0xB2, 0x87, 0x90, 0x61, 0xBE,
    71 0xDC, 0xFC, 0xBC, 0x95, 0xCF, 0xCD, 0x37, 0x3F, 0x5B, 0xD1, 0x53,
    72 0x39, 0x84, 0x3C, 0x41, 0xA2, 0x6D, 0x47, 0x14, 0x2A, 0x9E, 0x5D,
    73 0x56, 0xF2, 0xD3, 0xAB, 0x44, 0x11, 0x92, 0xD9, 0x23, 0x20, 0x2E,
    74 0x89, 0xB4, 0x7C, 0xB8, 0x26, 0x77, 0x99, 0xE3, 0xA5, 0x67, 0x4A,
    75 0xED, 0xDE, 0xC5, 0x31, 0xFE, 0x18, 0x0D, 0x63, 0x8C, 0x80, 0xC0,
    82    return RTSS_EXP[(RTSS_LOG[x] + RTSS_LOG[y]) % 255];
    85 byte rtss_hash_id(
const std::string& hash_name)
    87    if(hash_name == 
"SHA-160")
    89    else if(hash_name == 
"SHA-256")
    95 HashFunction* get_rtss_hash_by_id(
byte id)
   102       throw Decoding_Error(
"Bad RTSS hash identifier");
   125 std::vector<RTSS_Share>
   128                   const byte identifier[16],
   131    if(M == 0 || N == 0 || M > N)
   132       throw Encoding_Error(
"RTSS_Share::split: M == 0 or N == 0 or M > N");
   136    std::vector<RTSS_Share> shares(N);
   139    for(
byte i = 0; i != N; ++i)
   141       shares[i].contents += std::make_pair(identifier, 16);
   142       shares[i].contents += rtss_hash_id(hash.
name());
   143       shares[i].contents += M;
   144       shares[i].contents += 
get_byte(0, S_len);
   145       shares[i].contents += 
get_byte(1, S_len);
   149    for(
byte i = 0; i != N; ++i)
   154    secret += hash.
process(S, S_len);
   156    for(
size_t i = 0; i != secret.
size(); ++i)
   158       std::vector<byte> coefficients(M-1);
   159       rng.
randomize(&coefficients[0], coefficients.size());
   161       for(
byte j = 0; j != N; ++j)
   163          const byte X = j + 1;
   165          byte sum = secret[i];
   168          for(
size_t k = 0; k != coefficients.size(); ++k)
   170             sum ^= gfp_mul(X_i, coefficients[k]);
   171             X_i  = gfp_mul(X_i, X);
   174          shares[j].contents.push_back(sum);
   184    const size_t RTSS_HEADER_SIZE = 20;
   186    for(
size_t i = 0; i != shares.size(); ++i)
   188       if(shares[i].
size() != shares[0].size())
   192       if(shares[i].
size() < RTSS_HEADER_SIZE)
   195       if(!
same_mem(&shares[0].contents[0],
   196                    &shares[i].contents[0], RTSS_HEADER_SIZE))
   200    if(shares.size() < shares[0].contents[17])
   201       throw Decoding_Error(
"Insufficient shares to do TSS reconstruction");
   204                                    shares[0].contents[19]);
   206    byte hash_id = shares[0].contents[16];
   208    std::auto_ptr<HashFunction> hash(get_rtss_hash_by_id(hash_id));
   210    if(shares[0].
size() != secret_len + hash->output_length() + RTSS_HEADER_SIZE + 1)
   213    std::vector<byte> V(shares.size());
   216    for(
size_t i = RTSS_HEADER_SIZE + 1; i != shares[0].size(); ++i)
   218       for(
size_t j = 0; j != V.size(); ++j)
   219          V[j] = shares[j].contents[i];
   222       for(
size_t k = 0; k != shares.size(); ++k)
   226          for(
size_t l = 0; l != shares.size(); ++l)
   231             byte share_k = shares[k].share_id();
   232             byte share_l = shares[l].share_id();
   234             if(share_k == share_l)
   237             byte div = RTSS_EXP[(255 +
   239                                  RTSS_LOG[share_k ^ share_l]) % 255];
   241             r2 = gfp_mul(r2, div);
   244          r ^= gfp_mul(V[k], r2);
   249    if(secret.size() != secret_len + hash->output_length())
   252    hash->update(&secret[0], secret_len);
   256                 &secret[secret_len], hash->output_length()))
 
virtual void randomize(byte output[], size_t length)=0
static SecureVector< byte > reconstruct(const std::vector< RTSS_Share > &shares)
bool same_mem(const T *p1, const T *p2, size_t n)
size_t hex_decode(byte output[], const char input[], size_t input_length, size_t &input_consumed, bool ignore_ws)
std::invalid_argument Invalid_Argument
byte get_byte(size_t byte_num, T input)
std::string to_string() const
SecureVector< byte > process(const byte in[], size_t length)
u16bit make_u16bit(byte i0, byte i1)
static std::vector< RTSS_Share > split(byte M, byte N, const byte secret[], u16bit secret_len, const byte identifier[16], RandomNumberGenerator &rng)
void hex_encode(char output[], const byte input[], size_t input_length, bool uppercase)