Abstract
Various systematic modifications of vectorial Boolean functions have been used for finding new previously unknown classes of S-boxes with good or even optimal differential uniformity and nonlinearity. In this paper, a new general modification method is given that preserves the bijectivity property of the function in case the inverse of the function admits a linear structure. A previously known construction of such a modification based on bijective Gold functions in odd dimension is a special case of the new method.
| Original language | English |
|---|---|
| Pages (from-to) | 617-625 |
| Number of pages | 9 |
| Journal | Cryptography and Communications |
| Volume | 15 |
| Issue number | 3 |
| Early online date | 8 Feb 2023 |
| DOIs | |
| Publication status | Published - May 2023 |
| MoE publication type | A1 Journal article-refereed |
Keywords
- APN functions
- Bijective S-boxes
- Boolean functions
- Linear structures
- Modification of bijective S-boxes