English

On permutation quadrinomials and $4$-uniform BCT

Information Theory 2020-01-03 v1 math.IT

Abstract

We study a class of general quadrinomials over the field of size 22m2^{2m} with odd mm 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.

Keywords

Cite

@article{arxiv.2001.00418,
  title  = {On permutation quadrinomials and $4$-uniform BCT},
  author = {Nian Li and Maosheng Xiong and Xiangyong Zeng},
  journal= {arXiv preprint arXiv:2001.00418},
  year   = {2020}
}
R2 v1 2026-06-23T13:01:20.305Z