Permutation polynomials of index q + 1 over F q 2

Finite Fields and Their Applications 2026 Open access

Read full text
Authors: Xiutao Feng, Qiang Wang
DOI: 10.1016/j.ffa.2026.102796
Cited by: 1
References: 29

Abstract

We provide a generic construction of permutation polynomials over F q 2 with index q + 1 from any permutation polynomial of F q . We also extend our construction using polynomials with coefficients in F q 2 such that they are injective over a subset of F q 2 ⁎ , which corresponds to the set μ q + 1 of all ( q + 1 ) -th roots of unity.

Fields of Study & Subjects

Coding theory and cryptography Advanced Combinatorial Mathematics Algebraic Geometry and Number Theory

Publication details

Journal / source
Finite Fields and Their Applications
Publisher
Elsevier BV
Volume
112
Pages
102796–102796
Publication date
19 January 2026
Language
EN