Table 2 Inverse Elements of \({\varvec{G}}{\varvec{F}}({2}^{8})\).
Identity | 00000001 | 11,111,010 | 10,101,100 | 01111101 | 01100100 | 01010110 | 10,010,101 | 11,000,100 | 01110011 | 00110010 | 11,100,000 | 00101011 | 01110110 | 10,110,000 | 10,001,111 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
01100010 | 11,010,110 | 11,000,011 | 11,110,100 | 00011001 | 11,101,110 | 01110000 | 10,000,001 | 11,101,111 | 00010100 | 00111011 | 10,000,010 | 01011000 | 11,110,011 | 10,111,101 | 01100001 |
00110001 | 10,001,100 | 01101011 | 10,000,100 | 10,011,011 | 10,101,001 | 01111010 | 01010001 | 11,110,110 | 11,110,000 | 01110111 | 00001100 | 00111000 | 01111110 | 10,111,010 | 01110101 |
10,001,101 | 00100000 | 00001010 | 11,100,001 | 11,100,111 | 11,111,111 | 01000001 | 11,100,011 | 00101100 | 01111111 | 10,000,011 | 00011010 | 10,100,100 | 01001100 | 11,001,010 | 01011010 |
11,100,010 | 00110110 | 01000110 | 10,010,110 | 11,001,111 | 11,001,100 | 01000010 | 10,010,111 | 10,110,111 | 10,011,110 | 10,101,110 | 10,000,110 | 00111101 | 10,100,101 | 11,010,010 | 10,010,010 |
01111011 | 00100111 | 01111000 | 10,110,011 | 11,000,001 | 01011111 | 00000110 | 10,010,100 | 00011100 | 11,110,010 | 00111111 | 11,001,011 | 01011101 | 01011100 | 11,000,000 | 01010101 |
10,111,100 | 00011111 | 00010000 | 11,010,111 | 00000101 | 01111100 | 10,001,010 | 01101111 | 10,001,001 | 10,011,100 | 10,000,101 | 00100010 | 11,011,010 | 11,011,000 | 10,001,011 | 01100111 |
00010110 | 10,000,000 | 11,000,101 | 00001001 | 10,111,011 | 00101111 | 00001101 | 00101010 | 01010010 | 10,110,010 | 00100110 | 01010000 | 01100101 | 00000100 | 00101101 | 00111001 |
01110001 | 00010111 | 00011011 | 00111010 | 00100011 | 01101010 | 01001011 | 10,101,111 | 10,011,101 | 01101000 | 01100110 | 01101110 | 00100001 | 00110000 | 10,110,001 | 00001111 |
10,100,001 | 11,000,110 | 01001111 | 11,010,011 | 01010111 | 00000111 | 01000011 | 01000111 | 11,100,100 | 10,110,101 | 10,101,000 | 00100100 | 01101001 | 10,001,000 | 01001001 | 10,110,110 |
11,000,111 | 10,010,000 | 11,101,001 | 10,100,110 | 00111100 | 01001101 | 10,100,011 | 11,101,000 | 10,011,010 | 00100101 | 11,010,101 | 10,111,001 | 00000011 | 11,111,011 | 01001010 | 10,000,111 |
00001110 | 10,001,110 | 01111001 | 01010011 | 11,100,101 | 10,011,001 | 10,011,111 | 01001000 | 11,010,100 | 10,101,011 | 00101110 | 01110100 | 01100000 | 00011110 | 11,010,000 | 11,011,100 |
01011110 | 01010100 | 11,110,101 | 00010010 | 00001000 | 01110010 | 10,010,001 | 10,100,000 | 11,111,000 | 11,011,110 | 00111110 | 01011011 | 01000101 | 11,001,110 | 11,001,101 | 01000100 |
10,111,110 | 11,011,101 | 01001110 | 10,010,011 | 10,111,000 | 10,101,010 | 00010001 | 01100011 | 01101101 | 11,011,011 | 01101100 | 11,011,001 | 10,111,111 | 11,010,001 | 11,001,001 | 11,111,001 |
00001011 | 00110011 | 01000000 | 00110111 | 10,011,000 | 10,110,100 | 11,111,110 | 00110100 | 10,100,111 | 10,100,010 | 11,101,101 | 11,111,101 | 11,111,100 | 11,101,010 | 00010101 | 00011000 |
00101001 | 11,110,111 | 01011001 | 00011101 | 00010011 | 11,000,010 | 00101000 | 11,110,001 | 11,001,000 | 11,011,111 | 00000010 | 10,101,101 | 11,101,100 | 11,101,011 | 11,100,110 | 00110101 |