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SHA512_v4.m
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SHA512_v4.m
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%
% SHA-512
%
clear;
clc;
%
% K constant, SHA-384, SHA-512, SHA-512/224, SHA-512/256 use the same sequence
% of eight 64-bit words, K0, K1, ..., K79. These words represent the first
% 64-bits of the fractional parts of the cube roots of the first 8 prime numbers.
%
KT = ['428a2f98d728ae22'; '7137449123ef65cd'; 'b5c0fbcfec4d3b2f'; 'e9b5dba58189dbbc';
'3956c25bf348b538'; '59f111f1b605d019'; '923f82a4af194f9b'; 'ab1c5ed5da6d8118';
'd807aa98a3030242'; '12835b0145706fbe'; '243185be4ee4b28c'; '550c7dc3d5ffb4e2';
'72be5d74f27b896f'; '80deb1fe3b1696b1'; '9bdc06a725c71235'; 'c19bf174cf692694';
'e49b69c19ef14ad2'; 'efbe4786384f25e3'; '0fc19dc68b8cd5b5'; '240ca1cc77ac9c65';
'2de92c6f592b0275'; '4a7484aa6ea6e483'; '5cb0a9dcbd41fbd4'; '76f988da831153b5';
'983e5152ee66dfab'; 'a831c66d2db43210'; 'b00327c898fb213f'; 'bf597fc7beef0ee4';
'c6e00bf33da88fc2'; 'd5a79147930aa725'; '06ca6351e003826f'; '142929670a0e6e70';
'27b70a8546d22ffc'; '2e1b21385c26c926'; '4d2c6dfc5ac42aed'; '53380d139d95b3df';
'650a73548baf63de'; '766a0abb3c77b2a8'; '81c2c92e47edaee6'; '92722c851482353b';
'a2bfe8a14cf10364'; 'a81a664bbc423001'; 'c24b8b70d0f89791'; 'c76c51a30654be30';
'd192e819d6ef5218'; 'd69906245565a910'; 'f40e35855771202a'; '106aa07032bbd1b8';
'19a4c116b8d2d0c8'; '1e376c085141ab53'; '2748774cdf8eeb99'; '34b0bcb5e19b48a8';
'391c0cb3c5c95a63'; '4ed8aa4ae3418acb'; '5b9cca4f7763e373'; '682e6ff3d6b2b8a3';
'748f82ee5defb2fc'; '78a5636f43172f60'; '84c87814a1f0ab72'; '8cc702081a6439ec';
'90befffa23631e28'; 'a4506cebde82bde9'; 'bef9a3f7b2c67915'; 'c67178f2e372532b';
'ca273eceea26619c'; 'd186b8c721c0c207'; 'eada7dd6cde0eb1e'; 'f57d4f7fee6ed178';
'06f067aa72176fba'; '0a637dc5a2c898a6'; '113f9804bef90dae'; '1b710b35131c471b';
'28db77f523047d84'; '32caab7b40c72493'; '3c9ebe0a15c9bebc'; '431d67c49c100d4c';
'4cc5d4becb3e42b6'; '597f299cfc657e2a'; '5fcb6fab3ad6faec'; '6c44198c4a475817'];
%
% initial hash value, H^(0), consist of eight 64-bit words
%
H_512 = ['6a09e667f3bcc908';
'bb67ae8584caa73b';
'3c6ef372fe94f82b';
'a54ff53a5f1d36f1';
'510e527fade682d1';
'9b05688c2b3e6c1f';
'1f83d9abfb41bd6b';
'5be0cd19137e2179'];
H = H_512;
%
% Input data to be hashed
%
input_str = 'abc';
%
% indices
% 128 == 1024 / 8
% 16 == 128 / 8
% 111 == 128 - 16 - 1
%
% padding
%
str_len = length(input_str);
Nr = mod(str_len, 128);
if Nr <= 111
N = floor(str_len/128) + 1;
else
N = floor(str_len/128) + 2;
end
%
w = char();
for i = 1 : str_len
w = strcat(w, dec2hex(uint8(double(input_str(i))), 2));
end
w = strcat(w, dec2hex(uint8(128), 2)); % append 1000 0000
w = strcat(w, dec2hex(8*str_len, 2*(128*N - str_len - 1)));
%
% parse the message
%
ww = char();
for in = 1 : N
ww(in, :) = w((in-1)*256 + 1 : in*256);
end
%
% outer round for N blocks
%
W = char();
for in = 1 : N
%
% internal round for single 1024-bit block
%
for iw = 1 : 16
W(iw, :) = ww(in, (iw-1)*16 + 1 : iw*16);
% W(iw, :) = w((in-1)*256 + (iw-1)*16 + 1 : (in-1)*256 + iw*16);
end
%
%
for iw = 17 : 80
sigma1_512 = bitxor_64(bitxor_64(bitshift_circular_right_64(W(iw-2, :), 19), ...
bitshift_circular_right_64(W(iw-2, :), 61)), bitshift_right_64(W(iw-2, :), 6));
sigma0_512 = bitxor_64(bitxor_64(bitshift_circular_right_64(W(iw-15, :), 1), ...
bitshift_circular_right_64(W(iw-15, :), 8)), bitshift_right_64(W(iw-15, :), 7));
W(iw, :) = mod_add_64(mod_add_64(mod_add_64(sigma1_512, W(iw - 7, :)), sigma0_512), W(iw - 16, :));
% %
% ROTR9 = bitshift_circular_right_64(W(iw-2, :), 19);
% ROTR61 = bitshift_circular_right_64(W(iw-2, :), 61);
% SHR6 = bitshift_right_64(W(iw-2, :), 6);
% sigma1 = bitxor_64(bitxor_64(ROTR9, ROTR61), SHR6);
% %
% ROTR1 = bitshift_circular_right_64(W(iw-15, :), 1);
% ROTR8 = bitshift_circular_right_64(W(iw-15, :), 8);
% SHR7 = bitshift_right_64(W(iw-15, :), 7);
% sigma0 = bitxor_64(bitxor_64(ROTR1, ROTR8), SHR7);
% W(iw, :) = mod_add_64(mod_add_64(mod_add_64(sigma1, W(iw-7, :)), sigma0), W(iw-16, :));
% %
end
%
%
a = H(1,:);
b = H(2,:);
c = H(3,:);
d = H(4,:);
e = H(5,:);
f = H(6,:);
g = H(7,:);
h = H(8,:);
%
%
for iround = 1 : 80
chefg = bitxor_64(bitand_64(e, f), bitand_64(bitcmp_64(e), g));
sigma_e = bitxor_64(bitxor_64(bitshift_circular_right_64(e, 14), bitshift_circular_right_64(e, 18)), bitshift_circular_right_64(e, 41));
sigma_a = bitxor_64(bitxor_64(bitshift_circular_right_64(a, 28), bitshift_circular_right_64(a, 34)), bitshift_circular_right_64(a, 39));
% %
% chefg = bitxor_64(bitand_64(e, f), bitand_64(bitcmp_64(e), g));
% ROTR14 = bitshift_circular_right_64(e, 14);
% ROTR18 = bitshift_circular_right_64(e, 18);
% ROTR41 = bitshift_circular_right_64(e, 41);
% sigma_e = bitxor_64(bitxor_64(ROTR14, ROTR18), ROTR41);
% %
% ROTR28 = bitshift_circular_right_64(a, 28);
% ROTR34 = bitshift_circular_right_64(a, 34);
% ROTR39 = bitshift_circular_right_64(a, 39);
% sigma_a = bitxor_64(bitxor_64(ROTR28, ROTR34), ROTR39);
% %
maj_abc = bitxor_64(bitxor_64(bitand_64(a, b), bitand_64(a, c)), bitand_64(b, c));
T1 = mod_add_64(mod_add_64(mod_add_64(mod_add_64(h, chefg), sigma_e), W(iround, :)), KT(iround, :));
T2 = mod_add_64(sigma_a, maj_abc);
%
%
h = g;
g = f;
f = e;
e = mod_add_64(d, T1);
d = c;
c = b;
b = a;
a = mod_add_64(T1, T2);
%
%
end
H(1, :) = mod_add_64(a, H(1, :));
H(2, :) = mod_add_64(b, H(2, :));
H(3, :) = mod_add_64(c, H(3, :));
H(4, :) = mod_add_64(d, H(4, :));
H(5, :) = mod_add_64(e, H(5, :));
H(6, :) = mod_add_64(f, H(6, :));
H(7, :) = mod_add_64(g, H(7, :));
H(8, :) = mod_add_64(h, H(8, :));
end
%
%
HASH = H(1, :);
for i = 2 : 8
HASH = strcat(HASH, H(i, :));
end
HASH = lower(HASH);
fprintf('The input string is: %s\n', input_str);
fprintf('The SHA-512 HASH value is: %s\n', HASH);
%