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Differential uniformity of polynomials of degree 10

Number Theory 2024-11-20 v1

Abstract

We prove that polynomials of degree 10 over finite fields of even characteristic with some conditions on theirs coefficients have a differential uniformity greater than or equal to 6 over F2n\mathbb{F}_{2^n} for all nn sufficiently large.

Keywords

Cite

@article{arxiv.2411.12339,
  title  = {Differential uniformity of polynomials of degree 10},
  author = {Yves Aubry},
  journal= {arXiv preprint arXiv:2411.12339},
  year   = {2024}
}