Research Article
Designing an Efficient and Highly Dynamic Substitution-Box Generator for Block Ciphers Based on Finite Elliptic Curves
Table 6
Comparisons of S-box analysis.
| S-boxes | Methods | NL | LAP | DAP | AC | SAC | BIC | min. | max. | min. | max. | NL |
| [12] | Chaos | 96 | 0.023 | 0.050 | 254 | 0.391 | 0.625 | 0.477 | 0.531 | 92 | [13] | 103 | 0.132 | 0.039 | 255 | 0.398 | 0.570 | 0.472 | 0.535 | 96 | [16] | 100 | 0.129 | 0.039 | 255 | 0.422 | 0.594 | 0.477 | 0.525 | 98 | [17] | 100 | 0.152 | 0.039 | 255 | 0.391 | 0.586 | 0.468 | 0.537 | 100 | [18] | 96 | 0.125 | 0.047 | 255 | 0.422 | 0.609 | 0.471 | 0.547 | 96 | [19] | 104 | 0.094 | 0.023 | 255 | 0.391 | 0.578 | 0.476 | 0.529 | 103 | [24] | Others | 104 | 0.141 | 0.054 | 253 | 0.406 | 0.594 | 0.461 | 0.522 | 98 | [25] | 104 | 0.148 | 0.047 | 254 | 0.438 | 0.578 | 0.482 | 0.543 | 96 | [28] | 100 | 0.125 | 0.016 | 255 | 0.391 | 0.594 | 0.477 | 0.533 | 100 | [29] | 104 | 0.109 | 0.047 | 255 | 0.391 | 0.593 | 0.454 | 0.49 | 102 | [30] | 98 | 0.133 | 0.054 | 254 | 0.422 | 0.609 | 0.477 | 0.535 | 94 | [31] | 96 | 0.125 | 0.039 | 255 | 0.359 | 0.609 | 0.477 | 0.541 | 98 | [32] | Optimized | 102 | 0.148 | 0.039 | 254 | 0.375 | 0.609 | 0.470 | 0.521 | 100 | [33] | 104 | 0.133 | 0.039 | 255 | 0.359 | 0.609 | 0.457 | 0.535 | 96 | [34] | 104 | 0.133 | 0.039 | 254 | 0.438 | 0.641 | 0.475 | 0.547 | 98 | [35] | 102 | 0.133 | 0.039 | 254 | 0.359 | 0.562 | 0.467 | 0.535 | 98 | [47] | ECs | 104 | 0.145 | 0.039 | 255 | 0.391 | 0.625 | 0.471 | 0.531 | 98 | [48] | 106 | 0.148 | 0.047 | 255 | 0.406 | 0.625 | 0.471 | 0.539 | 96 | [50] | 106 | 0.148 | 0.039 | 255 | 0.406 | 0.641 | 0.471 | 0.537 | 98 | [51] | 106 | 0.148 | 0.039 | 255 | 0.438 | 0.594 | 0.465 | 0.545 | 98 | [53] | 106 | 0.188 | 0.039 | 253 | 0.406 | 0.609 | 0.465 | 0.527 | 98 | Proposed | 106 | 0.148 | 0.039 | 254 | 0.422 | 0.594 | 0.471 | 0.533 | 98 |
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