Complete permutation polynomials with trace functions over <inline-formula><tex-math id="M1">$ \mathbb{F}_{2^{n} } $</tex-math></inline-formula>
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.
Authors
- Xiaofang Xu (ORCID: https://orcid.org/0000-0002-5921-8878)
- Rulin Shen
- Xianping Liu (ORCID: https://orcid.org/0000-0001-6671-5330)
Institutions
- Minzu University of China (CN)
- Hubei Polytechnic University (CN)
Publication Details
- Journal
- Advances in Mathematics of Communications
- Published
- 2025-10-09
- DOI
- https://doi.org/10.3934/amc.2025046
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China