Research Article
Algebraic Cryptanalysis Scheme of AES-256 Using Gröbner Basis
Table 1
Coefficients of algebraic expression of AES inverse S-box (Hex).
| C (mn) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| 0 | 52 | F3 | 7E | 1E | 90 | BB | 2C | 8A | 1C | 85 | 6D | C0 | B2 | 1B | 40 | 23 | 1 | F6 | 73 | 29 | D9 | 39 | 21 | CF | 3D | 9A | 8A | 2F | CF | 7B | 04 | E8 | C8 | 2 | 85 | 7B | 7C | AF | 86 | 2F | 13 | 65 | 75 | D3 | 6D | D4 | 89 | 8E | 65 | 05 | 3 | EA | 77 | 50 | A3 | C5 | 01 | 0B | 46 | BF | A7 | 0C | C7 | 8E | F2 | B1 | CB | 4 | E5 | E2 | 10 | D1 | 05 | B0 | F5 | 86 | E4 | 03 | 71 | A6 | 56 | 03 | 9E | 3E | 5 | 19 | 18 | 52 | 16 | B9 | D3 | 38 | D9 | 04 | E3 | 72 | 6B | BA | E8 | BF | 9D | 6 | 1D | 5A | 55 | FF | 71 | E1 | A8 | 8E | FE | A2 | A7 | 1F | DF | B0 | 03 | CB | 7 | 08 | 53 | 6F | B0 | 7F | 87 | 8B | 02 | B1 | 92 | 81 | 27 | 40 | 2E | 1A | EE | 8 | 10 | CA | 82 | 4F | 09 | AA | C7 | 55 | 24 | 6C | E2 | 58 | BC | E0 | 26 | 37 | 9 | ED | 8D | 2A | D5 | ED | 45 | C3 | EC | 1C | 3E | 2A | B3 | 9E | B7 | 38 | 82 | A | 23 | 2D | 87 | EA | DA | 45 | 24 | 03 | E7 | C9 | E3 | D3 | 4E | DD | 11 | 4E | B | 81 | 91 | 91 | 59 | A3 | 80 | 92 | 7E | DB | C4 | 20 | EC | DB | 55 | 7F | A8 | C | C1 | 64 | AB | 1B | FD | 60 | 05 | 13 | 2C | A9 | 76 | A5 | 1D | 32 | 8E | 1E | D | C0 | 65 | CB | 8B | 93 | E4 | AE | BE | 5F | 2C | 3B | D2 | 0F | 9F | 42 | CC | E | 6C | 80 | 68 | 43 | 09 | 23 | C5 | 6D | 1D | 18 | BD | 5E | 1B | B4 | 85 | 49 | F | BC | 0D | 1F | A6 | 6B | D8 | 22 | 01 | 7A | C0 | 55 | 16 | B3 | CF | 05 | 00 |
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