A short note on permutation trinomials of prescribed type


Akbal Y., GÜLMEZ TEMÜR B., Ongan P.

COMMUNICATIONS IN ALGEBRA, cilt.48, ss.1608-1612, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 48 Konu: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/00927872.2019.1691578
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.1608-1612

Özet

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).