Research Article
Symmetric Encryption Algorithms in a Polynomial Residue Number System
Table 2
The number of irreducible polynomials for different powers of
and values of the parameter
.
| | 4 | 8 | 16 | 32 | 64 | 96 | 128 |
| 2 | 3 | 30 | 4080 | 134215680 | | | | 3 | 18 | 810 | 2690010 | | | | | 5 | 150 | 48750 | | | | | | 7 | 588 | 720300 | | | | | | 11 | 3630 | 26793030 | | | | | | 13 | 7098 | | | | | | | 17 | 20808 | | | | | | | 19 | 32490 | | | | | | | 23 | 69828 | | | | | | | 29 | 176610 | | | | | | | 31 | 230640 | | | | | | | 37 | 468198 | | | | | | | 41 | 706020 | | | | | | | 43 | 854238 | | | | | | |
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