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The Feistel Boomerang Connectivity Table (FBCT) was proposed as the feistel counterpart of the Boomerang Connectivity Table. The entries of the FBCT are actually related to the second-order zero differential spectrum. Recently, several results on the
Externí odkaz:
http://arxiv.org/abs/2405.16784
For a given function $F$ from $\mathbb F_{p^n}$ to itself, determining whether there exists a function which is CCZ-equivalent but EA-inequivalent to $F$ is a very important and interesting problem. For example, K\"olsch \cite{KOL21} showed that ther
Externí odkaz:
http://arxiv.org/abs/2306.13718
In this article, we introduce new notions $cc$-differential uniformity, $cc$-differential spectrum, PccN functions and APccN functions, and investigate their properties. We also introduce $c$-CCZ equivalence, $c$-EA equivalence, and $c1$-equivalence.
Externí odkaz:
http://arxiv.org/abs/2301.09325
Recently, a new concept called the $c$-differential uniformity was proposed by Ellingsen et al. (2020), which allows to simplify some types of differential cryptanalysis. Since then, finding functions having low $c$-differential uniformity has attrac
Externí odkaz:
http://arxiv.org/abs/2205.11418
Publikováno v:
Discrete Applied Mathemartics 2023
The study of Boolean functions with low $c$-differential uniformity has become recently an important topic of research. However, in odd characteristic case, there are not many results on the ($c$-)differential uniformity of functions that are not pow
Externí odkaz:
http://arxiv.org/abs/2203.06926
The $c$-differential uniformity is recently proposed to reflect resistance against some variants of differential attack. Finding functions with low $c$-differential uniformity is attracting attention from many researchers. For even characteristic, it
Externí odkaz:
http://arxiv.org/abs/2202.02185
Finding permutation polynomials with low differential and boomerang uniformityis an important topic in S-box designs of many block ciphers. For example, AES chooses the inverse function as its S-box, which is differentially 4-uniform and boomerang 6-
Externí odkaz:
http://arxiv.org/abs/2009.08612
Publikováno v:
In Discrete Applied Mathematics 15 September 2023 336:195-209
Publikováno v:
In Finite Fields and Their Applications August 2023 89
Publikováno v:
In Finite Fields and Their Applications February 2023 86