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, cilt.15, sa.4, ss.775-793, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s12095-023-00641-7
  • Dergi Adı: Cryptography and Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Sayfa Sayıları: ss.775-793
  • Anahtar Kelimeler: Absolutely Irreducible, Finite Fields, Permutation Polynomials
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.