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DES_PK.txt
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DES_PK.txt
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function permute(k, arr, n)
permu:= "";
for i in [1 .. n] do
permu := permu*k[arr[i]];
end for;
return permu;
end function;
function shift_left(k, nth_shifts)
s := "";
for i in [1..nth_shifts] do
for j in [2..#k] do
s := s * k[j];
end for;
s := s * k[1];
k := s;
s := "";
end for;
return k;
end function;
function Xor(a, b)
ans := "";
for i in [1..#a] do
if a[i] eq b[i] then
ans:= ans * "0";
else
ans := ans * "1";
end if;
end for;
return ans;
end function;
initial_perm := [58, 50, 42, 34, 26, 18, 10, 2,
60, 52, 44, 36, 28, 20, 12, 4,
62, 54, 46, 38, 30, 22, 14, 6,
64, 56, 48, 40, 32, 24, 16, 8,
57, 49, 41, 33, 25, 17, 9, 1,
59, 51, 43, 35, 27, 19, 11, 3,
61, 53, 45, 37, 29, 21, 13, 5,
63, 55, 47, 39, 31, 23, 15, 7];
exp_d := [32, 1 , 2 , 3 , 4 , 5 , 4 , 5,
6 , 7 , 8 , 9 , 8 , 9 , 10, 11,
12, 13, 12, 13, 14, 15, 16, 17,
16, 17, 18, 19, 20, 21, 20, 21,
22, 23, 24, 25, 24, 25, 26, 27,
28, 29, 28, 29, 30, 31, 32, 1 ];
per := [ 16, 7, 20, 21,
29, 12, 28, 17,
1, 15, 23, 26,
5, 18, 31, 10,
2, 8, 24, 14,
32, 27, 3, 9,
19, 13, 30, 6,
22, 11, 4, 25 ];
S1:=[
[14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7],
[0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8],
[4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0],
[15,12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13]];
S2:=[
[15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10],
[3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5],
[0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15],
[13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9]];
S3:=[
[10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8],
[13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1],
[13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7],
[1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12]];
S4:=[
[7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15],
[13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9],
[10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4],
[3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14]];
S5:=[
[2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9],
[14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6],
[4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14],
[11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3]];
S6:=[
[12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11],
[10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8],
[9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6],
[4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13]];
S7:=[
[4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1],
[13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6],
[1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2],
[6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12]];
S8:=[
[13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7],
[1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2],
[7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8],
[2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11]];
sbox:=[S1,S2,S3,S4,S5,S6,S7,S8];
final_perm:=[];
for i in [1..#initial_perm] do
a:=initial_perm[i];
final_perm[a]:=i;
end for;
function encrypt(pt, rkb, rk)
pt := hex2bin(pt);
pt := permute(pt, initial_perm, 64);
print("Kezdeti permutacio utan");
print(bin2hex(pt));
left := Substring(pt, 1, 32);
right:=Substring(pt, 33, 32);
for i in [1 .. 16] do
right_expanded := permute(right, exp_d, 48);
xor_x := Xor(right_expanded, rkb[i]);
sbox_str := "";
for j in [1.. 8] do
row := bin2dec(xor_x[j * 6-5]*xor_x[j * 6]);
col := bin2dec(xor_x[j * 6 -4] *xor_x[j * 6 -3]*xor_x[j * 6 - 2]*xor_x[j * 6 - 1]);
A:=sbox[j];
val := A[(StringToInteger(row)+1)][(StringToInteger(col)+1)];
sbox_str := sbox_str * dec2bin(val);
end for;
sbox_str := permute(sbox_str, per, 32);
result := Xor(left, sbox_str);
left := result;
if i ne 16 then
temp:="";
temp:=left;
left:= right;
right:= temp;
combine := left * right;
else
combine:=left*right;
end if;
printf "%o.kor utan: %o, %o, %o
",i, bin2hex(left), bin2hex(right),rk[i];
end for;
cipher_text := permute(combine, final_perm, 64);
return cipher_text;
end function;
pt := "123456ABCD132536";
key := "AABB09182736CCDD";
key := hex2bin(key);
keyp := [57, 49, 41, 33, 25, 17, 9,
1, 58, 50, 42, 34, 26, 18,
10, 2, 59, 51, 43, 35, 27,
19, 11, 3, 60, 52, 44, 36,
63, 55, 47, 39, 31, 23, 15,
7, 62, 54, 46, 38, 30, 22,
14, 6, 61, 53, 45, 37, 29,
21, 13, 5, 28, 20, 12, 4 ];
key := permute(key, keyp, 56);
shift_table:=[];
for i in [1..16] do
if i eq 1 xor i eq 2 xor i eq 9 xor i eq 16 then
Append(~shift_table,1);
else
Append(~shift_table,2);
end if;
end for;
key_comp := [14, 17, 11, 24, 1, 5,
3, 28, 15, 6, 21, 10,
23, 19, 12, 4, 26, 8,
16, 7, 27, 20, 13, 2,
41, 52, 31, 37, 47, 55,
30, 40, 51, 45, 33, 48,
44, 49, 39, 56, 34, 53,
46, 42, 50, 36, 29, 32 ];
left := Substring(key,1,28);
right := Substring(key,29,28);
rkb := [];
rk := [];
for i in [1 .. 16] do
left := shift_left(left, shift_table[i]);
right := shift_left(right, shift_table[i]);
combine_str := left *right;
round_key := permute(combine_str, key_comp, 48);
Append(~rkb,round_key);
Append(~rk,bin2hex(round_key));
end for;
print("Titkositas");
cipher_text := bin2hex(encrypt(pt, rkb, rk));
print("Titkositott szoveg: ");
print(cipher_text);
print("Visszafejtes");
rkb_rev := Reverse(rkb);
rk_rev := Reverse(rk);
text := bin2hex(encrypt(cipher_text, rkb_rev, rk_rev));
print("Nyilt szoveg: ");
print(text);