Some permutations and complete permutation polynomials over finite fields

Ongan P., GÜLMEZ TEMÜR B.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.5, ss.2154-2160, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1806-83
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2154-2160
  • Anahtar Kelimeler: Permutation polynomials, complete permutation polynomials, finite fields
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is an element of F-qn[x] is a permutation polynomial and determine b is an element of F-gn* for which the polynomial f(x) = x(s+1)+ bx is an element of F(q)n [x] is a complete permutation polynomial where s = q(n)-1/t, t is an element of Z(+) such that t vertical bar q(n) - 1.