Research Article
Generalization of the Self-Shrinking Generator in the Galois Field
Table 4
Results for simulated 3GSSG and 5GSSG.
| | Primitive polynomial | | | | | | | | | | |
| GF(33) | a3 + 2a2 + 1 | 26 | 18 | 6 | 6 | 6 | | | 18 | 9 | 9 | GF(34) | a4 + 2a3 + 2 | 80 | 54 | 18 | 18 | 18 | | | 54 | 27 | 27 | GF(35) | a5 + 2a2 + a + 1 | 242 | 162 | 54 | 54 | 54 | | | 162 | 81 | 81 | GF(35) | a5 + 2a + 1 | 242 | 162 | 54 | 54 | 54 | | | 162 | 81 | 81 | GF(36) | a6 + a + 2 | 728 | 486 | 162 | 162 | 162 | | | 486 | 243 | 243 | GF(37) | a7 + a2 + 2a + 1 | 2186 | 1458 | 486 | 486 | 486 | | | 1458 | 729 | 729 | GF(53) | a3 + 3a2 + 2 | 124 | 100 | 20 | 20 | 20 | 20 | 20 | 200 | 100 | 100 | GF(54) | a4 + a2 + 2a + 3 | 624 | 500 | 100 | 100 | 100 | 100 | 100 | 1000 | 500 | 500 | GF(55) | a5 + 4a + 2 | 3124 | 2500 | 500 | 500 | 500 | 500 | 500 | 5000 | 2500 | 2500 | GF(56) | a6 + a + 2 | 15624 | 12500 | 2500 | 2500 | 2500 | 2500 | 2500 | 25000 | 12500 | 12500 | GF(57) | a7 + 3a + 2 | 78124 | 62500 | 12500 | 12500 | 12500 | 12500 | 12500 | 125000 | 62500 | 62500 |
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