Permutation Polynomials Over Fields of Characteristic 7: Implication for Cryptographic Algorithms
Palestine Journal of Mathematics, cilt.14, sa.2, ss.194-203, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 2
- Basım Tarihi: 2025
- Dergi Adı: Palestine Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.194-203
- Anahtar Kelimeler: Characteristic 7, Cryptography, Finite Fields, Permutation Polynomials, symétric groupe
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this article we are interested in the class of permutation polynomials of the form: [Formula Presented] where d and r are positive integers and d divides q − 1. We give necessary conditions and sufficient for this family of polynomials to be permutations in a finite field Fq of characteristics 7, based on the Lidl-Wan criterion. Then we will give an application in cryptography for this family of polynomials on Fq.