Complete characterization of some permutation polynomials of the form xr(1+axs1(q-1)+bxs2(q-1)) over Fq2
Cryptography and Communications, cilt.15, sa.4, ss.775-793, 2023 (SCI-Expanded, Scopus)
- 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.