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June 25th, 2017, 12:00 PM   #1
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From: Tunisia

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Problem to resolve system of equations.

Hi,
How to resolve this system:

Can I write it like this?:


thanks

Last edited by skipjack; June 26th, 2017 at 12:14 AM.
theREalBlackbird is offline  
 
June 25th, 2017, 04:30 PM   #2
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Joined: Jun 2017
From: Tunisia

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Sorry the system is:


z xor VX =X

How to find all the values of x0, x1,..., xn ?

vi are known, 0 <= 1 <= n-1
z is known

for example: if n = 82

z=001101100000111010000011111110111000110001011110 0000111011100001101101111010010010

V is the 82x82 square matrix:
01100111000010000101100110100101000111100011000101 10011101110001000101001010011100
00011101101000000000111100110101101000111100001000 10110010111011011101011010110110
11111001010000000001111010100001000001111011010100 11101110111010100110011101000101
10101111100000000010101101101111100000101011001000 01101011001110100001100011110010
00110001100000110000110001010001011000000001000010 00001100001000110001000010000010
01000110000000010001001011000110010001011000001001 01011011100001000100001000011000
00011001110000000000011101101010110000011101110110 01101111001110111001000010000111
10101101010000000010101111111100010010011101011001 11000001001100111100101000010101
11111010110000000011111001001010110011101010110000 10110011010101011011101111000001
10101011110000101010101001011011011010000011111100 00011110011101111010000100001111
00101101010100000000100111111001010100100111011100 01001011011000100100111001010111
01110000010000001000110001100010111000111001010100 00011100010101110010110101100101
10001101000000010010001101011101010010110111011000 01100011010010001001010010110100
00110111110000000000110011000111010100110011111101 00000101101100110110011100111111
00011110110000000000011110101111110000010111110000 10000110101110011010001100011011
10110000100000000010110010010000100010100000101011 00110000101010100101101011000010
00000010100100000000000010100110100100000010100000 00100011101110001010100101001010
10000010100000000011000000100010100011000011101010 10101000100010110111001111001010
00001010001000000000001010010010001000001010011000 11000000000000001000010000100000
00100010000000100010100010100010100110000000000010 00010000010000000011000110001000
10000000100000000010001010000000100010001001000010 00000010001100001000100001000010
10001010100000000010001000101000101010001010101000 01101000100010101111011110101000
10100010001000001010100000101010000010001000000000 00100000110010000111001110001000
10000000000000000000000000000000000000000000000000 00000000000000000000000000000000
00000000100000000000000000000000000000000000000000 00000000000000000000000000000000
00000000000000001000000000000000000000000000000000 00000000000000000000000000000000
00000000000000000000000010000000000000000000000000 00000000000000000000000000000000
00000000000000000000000000000000100000000000000000 00000000000000000000000000000000
00000000000000000000000000000000000000001000000000 00000000000000000000000000000000
00000000000000000000000000000000000000000000000010 00000000000000000000000000000000
00000000000000000000000000000000000000000000000000 00000010000000000000000000000000
00000000000000000000000000000000000000000000000000 00000000000000100000000000000000
00000000000000000000000000000000000000000000000000 00000000000000000000001000000000
00000000000000000000000000000000000000000000000000 00000000000000000000000000000010
11001110000100001011001101001010001111000110001011 00111011100010001010010100111000
00111011010000000001111001101011010001111000010001 01100101110110111010110101101100
11100010110000000111100001000010010111100110101101 10011001110101010100011011101011
01001111010000000001001111011111010101000110010100 10010010011101011011100110000101
01100011000001100001100010100010110000000010000100 00011000010001100010000100000100
10001100000000100010010110001100100010110000010010 10110111000010001000010000110000
00110011100000000000111011010101100000111011101100 11011110011101110010000100001110
01001010110000000001001011111000110000101010110111 11000110011001100001110001001011
11100101110000000011100110010101110011000101100101 00100010101010101111111111100011
01000111110001010001000110110110100000010111111100 01111000111011101100101001111111
01011010101000000001001111110010101001001110111000 10010110110001001001110010101110
11100000100000010001100011000101110001110010101000 00111000101011100101101011001010
00001010010000100000001110111010110001111110110100 10000010100100001010000100001001
01101111100000000001100110001110101001100111111010 00001011011001101100111001111110
00111101100000000000111101011111100000101111100001 00001101011100110100011000110110
01110001010000000001110000100001010001010001010010 00100101010101010011110111100101
00000101001000000000000101001101001000000101000000 01000111011100010101001010010100
00010101010000000010010101000101010010010111010001 00010101000101110110111111110101
00010100010000000000010100100100010000010100110001 10000000000000010000100001000000
01000100000001000101000101000101001100000000000100 00100000100000000110001100010000
00010001010000000000000000000001010000000010000000 01000000011000001001100011100101
00000101010000000000000101010001000000000101010100 10010101000101000110011100110001
01010100000000010001010101010100010000000000000100 00000101100100010110111101110001
00010000010000000100010100000000010100010000000100 01000100000000011000100001100001
00000001000000000000000000000000000000000000000000 00000000000000000000000000000000
00000000000000010000000000000000000000000000000000 00000000000000000000000000000000
00000000000000000000000100000000000000000000000000 00000000000000000000000000000000
00000000000000000000000000000001000000000000000000 00000000000000000000000000000000
00000000000000000000000000000000000000010000000000 00000000000000000000000000000000
00000000000000000000000000000000000000000000000100 00000000000000000000000000000000
00000000000000000000000000000000000000000000000000 00000100000000000000000000000000
00000000000000000000000000000000000000000000000000 00000000000001000000000000000000
00000000000000000000000000000000000000000000000000 00000000000000000000010000000000
00000000000000000000000000000000000000000000000000 00000000000000000000000000000100
10001100011000010010001110010100001010011100010010 00110011000100001100001000010001
01110110100000000011110011010110100011110000100010 11001011101101110101101011011000
11010101110000001011010110000100111011011101011111 01110111101010110000010110110111
10011110100000000010011110111110101010001100101001 00100100111010110111001100001010
11000110000011000011000101000101100000000100001000 00110000100011000100001000001000
00001000010001000000111000011001010001110000100001 00101010000100001000000000000001
01100111000000000001110110101011000001110111011001 10111100111011100100001000011100
10010101100000000010010111110001100001010101101111 10001100110011000011100010010110
11011011110000000011011000101011110010011011001110 00000001010101000111011110100111
10001111100010100010001101101101000000101111111000 11110001110111011001010011111110
10110101010000000010011111100101010010011101110001 00101101100010010011100101011100
11010001010000100111010010001011110111110101010100 00110101010111010011110111110101
00010100100001000000011101110101100011111101101001 00000101001000010100001000010010
11011111000000000011001100011101010011001111110100 00010110110011011001110011111100

Last edited by skipjack; June 26th, 2017 at 12:15 AM.
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