On permutation quadrinomials and 4-uniform BCT

01/02/2020

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by   Nian Li, et al.

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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.