Crypto Algorithm Question - None equal xors

hi @ all

i'm only 16 years old and i'm from austria
so i don't speak englisch very well

i working on a completely new hash algorthm based on a 256*256 bit const block (the size of the block isn't really importent)

but is isn't only a random block!
there is a rule for the data:
each row xor another row mustn't equal to another row
examlpe:
row1 ^ row2 != row9 ^ row198 ^ row 226

all xor summs must be different!!!

i need a function which generate such a data block...
i have already programmed a function for a blocksize of 16*16bit
but witch my funktion i cannot create a block of that big size (256*256)

please, can somebody help me!

thank you all!

Why can't you expand your 16x16 bit function to a 256x256 bit function? Could you at least break the input up into 16x16 bit blocks?

I cannot break the 256*256Bit block into 16*16 Blocks because then the functions will be breakable in 2^16 instand of 2^256.
I used randomnummbers and checked all possible 2^16 values and so i was able to generate a 16*16Bit block. If i use randomnummber the test result was true in about 30% of all the checks. For a 256Bit block i cannot check all 2^256 values. Thats the main problem... i need to find a function witch can generate a 256Bit*256Bit Block with 100% (instand of 30% if i use randoms).

Here are some examples for 16*16Bit Blocks (sorted, but this doesn't matter)

Blocknummer: 1
0: 3145 0x0c49 0000110001001001
1: 4593 0x11f1 0001000111110001
2: 6792 0x1a88 0001101010001000
3: 9495 0x2517 0010010100010111
4: 13143 0x3357 0011001101010111
5: 18795 0x496b 0100100101101011
6: 20428 0x4fcc 0100111111001100
7: 20849 0x5171 0101000101110001
8: 39580 0x9a9c 1001101010011100
9: 42783 0xa71f 1010011100011111
10: 47870 0xbafe 1011101011111110
11: 49273 0xc079 1100000001111001
12: 52970 0xceea 1100111011101010
13: 60724 0xed34 1110110100110100
14: 62293 0xf355 1111001101010101
15: 63279 0xf72f 1111011100101111

Blocknummer: 2
0: 4148 0x1034 0001000000110100
1: 5830 0x16c6 0001011011000110
2: 6629 0x19e5 0001100111100101
3: 17480 0x4448 0100010001001000
4: 20014 0x4e2e 0100111000101110
5: 20510 0x501e 0101000000011110
6: 21973 0x55d5 0101010111010101
7: 37447 0x9247 1001001001000111
8: 37763 0x9383 1001001110000011
9: 41044 0xa054 1010000001010100
10: 45545 0xb1e9 1011000111101001
11: 51474 0xc912 1100100100010010
12: 55223 0xd7b7 1101011110110111
13: 57592 0xe0f8 1110000011111000
14: 59549 0xe89d 1110100010011101
15: 64003 0xfa03 1111101000000011

Blocknummer: 3
0: 3076 0x0c04 0000110000000100
1: 3606 0x0e16 0000111000010110
2: 6244 0x1864 0001100001100100
3: 18600 0x48a8 0100100010101000
4: 26547 0x67b3 0110011110110011
5: 29886 0x74be 0111010010111110
6: 32298 0x7e2a 0111111000101010
7: 36989 0x907d 1001000001111101
8: 37360 0x91f0 1001000111110000
9: 37632 0x9300 1001001100000000
10: 50312 0xc488 1100010010001000
11: 57024 0xdec0 1101111011000000
12: 57075 0xdef3 1101111011110011
13: 60051 0xea93 1110101010010011
14: 61974 0xf216 1111001000010110
15: 63172 0xf6c4 1111011011000100

Blocknummer: 4
0: 3001 0x0bb9 0000101110111001
1: 9083 0x237b 0010001101111011
2: 9182 0x23de 0010001111011110
3: 9496 0x2518 0010010100011000
4: 13490 0x34b2 0011010010110010
5: 15120 0x3b10 0011101100010000
6: 19391 0x4bbf 0100101110111111
7: 22457 0x57b9 0101011110111001
8: 24218 0x5e9a 0101111010011010
9: 36211 0x8d73 1000110101110011
10: 38104 0x94d8 1001010011011000
11: 45667 0xb263 1011001001100011
12: 48378 0xbcfa 1011110011111010
13: 52880 0xce90 1100111010010000
14: 65300 0xff14 1111111100010100
15: 65512 0xffe8 1111111111101000

Blocknummer: 5
0: 6790 0x1a86 0001101010000110
1: 10405 0x28a5 0010100010100101
2: 10971 0x2adb 0010101011011011
3: 13543 0x34e7 0011010011100111
4: 17572 0x44a4 0100010010100100
5: 18329 0x4799 0100011110011001
6: 26566 0x67c6 0110011111000110
7: 26808 0x68b8 0110100010111000
8: 33416 0x8288 1000001010001000
9: 39008 0x9860 1001100001100000
10: 42466 0xa5e2 1010010111100010
11: 43856 0xab50 1010101101010000
12: 46392 0xb538 1011010100111000
13: 48524 0xbd8c 1011110110001100
14: 58750 0xe57e 1110010101111110
15: 59587 0xe8c3 1110100011000011

Blocknummer: 6
0: 2289 0x08f1 0000100011110001
1: 2331 0x091b 0000100100011011
2: 3018 0x0bca 0000101111001010
3: 10273 0x2821 0010100000100001
4: 15360 0x3c00 0011110000000000
5: 20283 0x4f3b 0100111100111011
6: 23996 0x5dbc 0101110110111100
7: 37719 0x9357 1001001101010111
8: 44756 0xaed4 1010111011010100
9: 45703 0xb287 1011001010000111
10: 46645 0xb635 1011011000110101
11: 51397 0xc8c5 1100100011000101
12: 54317 0xd42d 1101010000101101
13: 54356 0xd454 1101010001010100
14: 55894 0xda56 1101101001010110
15: 65123 0xfe63 1111111001100011

Blocknummer: 7
0: 774 0x0306 0000001100000110
1: 3977 0x0f89 0000111110001001
2: 13865 0x3629 0011011000101001
3: 16060 0x3ebc 0011111010111100
4: 27605 0x6bd5 0110101111010101
5: 33380 0x8264 1000001001100100
6: 34262 0x85d6 1000010111010110
7: 37346 0x91e2 1001000111100010
8: 49863 0xc2c7 1100001011000111
9: 49882 0xc2da 1100001011011010
10: 51128 0xc7b8 1100011110111000
11: 52284 0xcc3c 1100110000111100
12: 52567 0xcd57 1100110101010111
13: 54747 0xd5db 1101010111011011
14: 56771 0xddc3 1101110111000011
15: 64516 0xfc04 1111110000000100

Blocknummer: 8
0: 2224 0x08b0 0000100010110000
1: 8264 0x2048 0010000001001000
2: 15929 0x3e39 0011111000111001
3: 19697 0x4cf1 0100110011110001
4: 21254 0x5306 0101001100000110
5: 25263 0x62af 0110001010101111
6: 26646 0x6816 0110100000010110
7: 33887 0x845f 1000010001011111
8: 41423 0xa1cf 1010000111001111
9: 42440 0xa5c8 1010010111001000
10: 50577 0xc591 1100010110010001
11: 53792 0xd220 1101001000100000
12: 58184 0xe348 1110001101001000
13: 58306 0xe3c2 1110001111000010
14: 60242 0xeb52 1110101101010010
15: 62562 0xf462 1111010001100010

Blocknummer: 9
0: 6164 0x1814 0001100000010100
1: 18095 0x46af 0100011010101111
2: 22120 0x5668 0101011001101000
3: 24905 0x6149 0110000101001001
4: 26140 0x661c 0110011000011100
5: 26671 0x682f 0110100000101111
6: 30331 0x767b 0111011001111011
7: 31735 0x7bf7 0111101111110111
8: 39841 0x9ba1 1001101110100001
9: 40081 0x9c91 1001110010010001
10: 43767 0xaaf7 1010101011110111
11: 44048 0xac10 1010110000010000
12: 51022 0xc74e 1100011101001110
13: 53968 0xd2d0 1101001011010000
14: 57350 0xe006 1110000000000110
15: 62834 0xf572 1111010101110010

Blocknummer: 10
0: 2348 0x092c 0000100100101100
1: 2400 0x0960 0000100101100000
2: 12888 0x3258 0011001001011000
3: 19945 0x4de9 0100110111101001
4: 24121 0x5e39 0101111000111001
5: 26442 0x674a 0110011101001010
6: 41172 0xa0d4 1010000011010100
7: 41477 0xa205 1010001000000101
8: 46022 0xb3c6 1011001111000110
9: 46461 0xb57d 1011010101111101
10: 52499 0xcd13 1100110100010011
11: 59451 0xe83b 1110100000111011
12: 60519 0xec67 1110110001100111
13: 62472 0xf408 1111010000001000
14: 62879 0xf59f 1111010110011111
15: 65407 0xff7f 1111111101111111

1. Randomly generate your first two rows
2. XOR them together
3. Add the result to a list of XORs
4. Randomly Generate the 3rd, 4th, 5th etc row and check it doesn't match a result in the list
5. XOR this row with all the preceeding ones and add the results to the list

Using this method you'll get a list of roughly 32768 rows to check against. 2^256 is a lot bigger number, so it should be pretty efficient...