Complete characterization of some permutation polynomials of the form xr(1+axs1(q-1)+bxs2(q-1)) over Fq2

ÖZBUDAK F., Temür B. G.

Cryptography and Communications, vol.15, no.4, pp.775-793, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1007/s12095-023-00641-7
  • Journal Name: Cryptography and Communications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Page Numbers: pp.775-793
  • Keywords: Absolutely Irreducible, Finite Fields, Permutation Polynomials
  • Middle East Technical University Affiliated: Yes

Abstract

We completely characterize all permutation trinomials of the form f(x) = x3(1 + axq-1+ bx2(q-1)) over Fq2, where a,b∈Fq∗ and all permutation trinomials of the form f(x) = x3(1 + bx2(q-1)+ cx3(q-1)) over Fq2, where b,c∈Fq∗ in both even and odd characteristic cases.