Work

Complete permutation polynomials with trace functions over $ \mathbb{F}_{2^{n} } $

Year: 2025

Type: article

Abstract: In this paper, we present five classes of complete permutation polynomials with trace functions over finite fields $ \mathbb{F}_{2^{n} } $. The results are obtained based on the AGW criterion and the method of determining the number of solutions to some specific equations.

Source: Advances in Mathematics of Communications

DOI: 10.3934/amc.2025046

Authors: Ruihua Shen, Xianping Liu, Xiaofang Xu

Institutions: Hubei University for Nationalities, Hubei Polytechnic University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G2999241002