Research Article
A Key Selected S-Box Mechanism and Its Investigation in Modern Block Cipher Design
Table 4
The difference distribution tables of
, , , and
S-boxes.
| Input difference | Output difference | | | | | | | | | | | | | | | | |
| Difference distribution table of | | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 2 | 4 | 2 | 0 | 2 | 2 | 0 | | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 0 | 4 | 0 | 4 | 2 | 0 | 2 | 0 | | 0 | 2 | 4 | 2 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | | 0 | 0 | 0 | 0 | 0 | 2 | 4 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 4 | | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 4 | 2 | 0 | 2 | 2 | 2 | 0 | 0 | | 0 | 0 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 4 | 0 | 4 | 0 | 0 | 0 | 4 | | 0 | 2 | 4 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | | 0 | 0 | 0 | 4 | 0 | 0 | 2 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 2 | 0 | | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | | 0 | 0 | 4 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 2 | 2 | 0 | | 0 | 0 | 0 | 0 | 4 | 2 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 4 | | 0 | 4 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | 2 | 2 | 2 | 0 | 0 | | 0 | 2 | 0 | 2 | 0 | 0 | 4 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 0 | 4 | | 0 | 0 | 4 | 0 | 2 | 0 | 0 | 2 | 2 | 0 | 2 | 0 | 2 | 2 | 0 | 0 | | 0 | 4 | 0 | 4 | 0 | 0 | 0 | 0 | 4 | 0 | 4 | 0 | 0 | 0 | 0 | 0 |
| Difference distribution table of | | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 4 | 0 | 2 | 2 | 4 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | | 0 | 2 | 4 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 4 | 2 | 0 | | 0 | 0 | 2 | 4 | 0 | 2 | 0 | 0 | 2 | 2 | 0 | 2 | 0 | 2 | 0 | 0 | | 0 | 0 | 2 | 4 | 4 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 4 | 0 | 0 | 0 | 4 | 2 | 0 | 0 | 2 | | 0 | 0 | 0 | 2 | 2 | 2 | 2 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | 4 | 0 | | 0 | 2 | 0 | 0 | 0 | 2 | 2 | 2 | 0 | 2 | 2 | 2 | 0 | 2 | 0 | 0 | | 0 | 0 | 2 | 0 | 0 | 2 | 2 | 2 | 0 | 2 | 2 | 2 | 0 | 0 | 2 | 0 | | 0 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 4 | 2 | 0 | 0 | 0 | 2 | | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 4 | 2 | 2 | 0 | 2 | 0 | 0 | 2 | | 0 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | 2 | 2 | 0 | 2 | 2 | 2 | 0 | 2 | | 0 | 2 | 0 | 0 | 4 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 2 | 2 | 0 | 2 | | 0 | 4 | 2 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 2 | 4 | 0 | | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | 2 | 0 | 4 | 0 | 0 | 4 |
| Difference distribution table of | | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 4 | 0 | 2 | 0 | | 0 | 2 | 2 | 2 | 0 | 0 | 2 | 0 | 2 | 0 | 2 | 2 | 0 | 0 | 0 | 2 | | 0 | 2 | 2 | 2 | 2 | 0 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 4 | 2 | 2 | 0 | 0 | | 0 | 2 | 2 | 0 | 0 | 2 | 0 | 2 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | 2 | | 0 | 0 | 0 | 2 | 0 | 0 | 2 | 4 | 2 | 2 | 2 | 0 | 0 | 0 | 2 | 0 | | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | 4 | 2 | 2 | 2 | 0 | 0 | | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 2 | 2 | 2 | 4 | 2 | | 0 | 0 | 4 | 0 | 0 | 2 | 2 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | 2 | 0 | | 0 | 2 | 0 | 0 | 4 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 4 | | 0 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 2 | 0 | 4 | 0 | 0 | 4 | 2 | 0 | | 0 | 0 | 0 | 4 | 0 | 2 | 2 | 4 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 2 | | 0 | 0 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | | 0 | 0 | 0 | 0 | 4 | 2 | 0 | 2 | 2 | 2 | 0 | 0 | 2 | 0 | 0 | 2 | | 0 | 2 | 0 | 0 | 2 | 2 | 2 | 0 | 2 | 0 | 0 | 4 | 0 | 0 | 2 | 0 |
| Difference distribution table of | | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 2 | 4 | 0 | 0 | 2 | 0 | 0 | 0 | | 0 | 0 | 0 | 4 | 0 | 2 | 2 | 4 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 4 | 0 | 0 | 0 | 2 | 2 | 0 | 2 | 2 | | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 2 | 4 | 0 | 2 | | 0 | 2 | 2 | 2 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | 2 | 2 | | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | 2 | 2 | 2 | 2 | 2 | 0 | | 0 | 2 | 0 | 2 | 2 | 0 | 2 | 0 | 2 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | | 0 | 2 | 0 | 0 | 4 | 2 | 4 | 0 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | 0 | | 0 | 0 | 0 | 0 | 0 | 4 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 4 | | 0 | 2 | 2 | 2 | 0 | 0 | 0 | 2 | 2 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | | 0 | 2 | 2 | 0 | 0 | 0 | 4 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 2 | 2 | | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 4 | 4 | 0 | 2 | 2 | 0 | 0 | | 0 | 0 | 0 | 2 | 2 | 4 | 0 | 0 | 2 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | 0 | 2 | 2 | | 0 | 0 | 4 | 0 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 4 | 0 | 0 |
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