A short note on permutation trinomials of prescribed type

Akbal Y., GÜLMEZ TEMÜR B., Ongan P.

COMMUNICATIONS IN ALGEBRA, vol.48, no.4, pp.1608-1612, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 4
  • Publication Date: 2019
  • Doi Number: 10.1080/00927872.2019.1691578
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1608-1612
  • Middle East Technical University Affiliated: Yes

Abstract

We show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).