Benjamin Chase

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cs.IT2021

Construction of APN permutations via Walsh zero spaces

Benjamin Chase, Petr Lisonek

A Walsh zero space (WZ space) for $f : F_{2^{n}} \to F_{2^{n}}$ is an $n$ -dimensional vector subspace of $F_{2^{n}} \times F_{2^{n}}$ whose all nonzero elements are Walsh zeros of $f$ .…

cs.IT2020

Kim-type APN functions are affine equivalent to Gold functions

Benjamin Chase, Petr Lisonek

The problem of finding APN permutations of $F_{2^{n}}$ where $n$ is even and $n > 6$ has been called the Big APN Problem. Li, Li, Helleseth and Qu recently characterized APN…