Name
Abstract | ||
|---|---|---|
Wu et al. proposed a generalized Tu-Deng conjecture over $\mathbb {F}_{2<^>{rm}}\times {\mathbb {F}_{2<^>{m}}}$ , and constructed Boolean functions with good properties. However the proof of the generalized conjecture is still open. Based on Wus work and assuming that the conjecture is true, we come up with a new class of balanced Boolean functions which has optimal algebraic degree, high nonlinearity and optimal algebraic immunity. The Boolean function also behaves well against fast algebraic attacks. Meanwhile we construct another class of Boolean functions by concatenation, which is 1-resilient and also has other good cryptographic properties. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/ACCESS.2019.2947367 | IEEE ACCESS |
Keywords | DocType | Volume |
Boolean functions, Artificial intelligence, Additives, Cryptography, Resists, FAA, Licenses, Algebraic immunity, 1-resilient, nonlinearity, fast algebraic attacks, Tu-Deng conjecture, Boolean function | Journal | 7 |
ISSN | Citations | PageRank |
2169-3536 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yindong Chen | 1 | 15 | 8.07 |
| Liu Zhang | 2 | 0 | 1.01 |
| Zhangquan Gong | 3 | 0 | 0.34 |
| Weihong Cai | 4 | 4 | 6.51 |