Year: 2025
Type: article
Abstract: This paper considers permutation polynomials over the finite field $ \mathbb F_{q^2} $ by utilizing low-degree permutation rational functions over $ \mathbb F_q $, where $ q $ is a prime power. As a result, we obtain two classes of permutation binomials, six classes of permutation quadrinomials and six classes of permutation pentanomials over $ \mathbb F_{q^2} $. Additionally, we show that the obtained binomials, quadrinomials and pentanomials are quasi-multiplicative inequivalent to the known ones in the literature.
DOI: 10.3934/amc.2025040
Authors: Kirpa Garg, Sartaj Ul Hasan, Chunlei Li, Hridesh Kumar, Mohit Pal
Institutions: Indian Institute of Technology Jammu, University of Bergen
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413660128