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arXiv · 2001.00418

On permutation quadrinomials and $4$-uniform BCT

Nian Li·Maosheng Xiong·Xiangyong Zeng
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Abstract

We study a class of general quadrinomials over the field of size $2^{2m}$ with odd $m$ and characterize conditions under which they are permutations with the best boomerang uniformity, a new and important parameter related to boomerang-style attacks. This vastly extends previous results from several recent papers.

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Nian Li, Maosheng Xiong, Xiangyong Zeng. 2020-01-02. On permutation quadrinomials and $4$-uniform BCT. https://arxiv.org/abs/2001.00418

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