English

Necessities and sufficiencies of a class of permutation polynomials over finite fields

Information Theory 2019-07-30 v1 math.IT Number Theory

Abstract

For the finite field F23m\mathbb{F}_{2^{3m}}, permutation polynomials of the form (x2m+x+δ)s+cx(x^{2^m}+x+\delta)^{s}+cx are studied. Necessary and sufficient conditions are given for the polynomials to be permutation polynomials. For this, the structures and properties of the field elements are analyzed.

Keywords

Cite

@article{arxiv.1907.12086,
  title  = {Necessities and sufficiencies of a class of permutation polynomials over finite fields},
  author = {Xiaogang Liu},
  journal= {arXiv preprint arXiv:1907.12086},
  year   = {2019}
}