English

A note regarding permutation binomials over finite fields

Number Theory 2014-06-19 v1

Abstract

Let f=ax+xr(q1)+1Fq2[x],r{5,7}.f=ax+x^{r(q-1)+1}\in \mathbb{F}_{q^2}^*[x], r\in \{5,7\}. We give explicit conditions on the values (q,a)(q,a) for which ff is a permutation polynomials of Fq2.\mathbb{F}_{q^2}.

Keywords

Cite

@article{arxiv.1406.4847,
  title  = {A note regarding permutation binomials over finite fields},
  author = {Stephen Lappano},
  journal= {arXiv preprint arXiv:1406.4847},
  year   = {2014}
}
R2 v1 2026-06-22T04:41:47.058Z