New classes of complete permutation polynomials

Lisha Li; Chaoyun Li; Chunlei Li; Xiangyong Zeng

doi:10.1016/j.ffa.2018.10.001

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New classes of complete permutation polynomials

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New classes of complete permutation polynomials

Lisha Li, Chaoyun Li, Chunlei Li and Xiangyong Zeng

Finite fields and their applications, Vol.55, pp.177-201

01/01/2019

DOI: https://doi.org/10.1016/j.ffa.2018.10.001

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

In this paper, we propose several classes of complete permutation polynomials over a finite field based on certain polynomials over its subfields or subsets. In addition, a class of complete permutation trinomials with Niho exponents is studied, and the number of these complete permutation trinomials is also determined. (C) 2018 Elsevier Inc. All rights reserved.

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Title: New classes of complete permutation polynomials
Creators: Lisha Li - Hubei University
Chaoyun Li - Hubei University
Chunlei Li - Hubei University
Xiangyong Zeng - Hubei University
Publication Details: Finite fields and their applications, Vol.55, pp.177-201
Publisher: Elsevier
Number of pages: 25
Date published: 01/01/2019
Grant note: 2477421070 / Research Council of Norway H2020-MSCA-ITN-2014-643161 ECRYPT-NET / European Union's Horizon 2020 research and innovation programme; Horizon 2020 C16/15/058; OT/13/071 / Research Council KU Leuven; KU Leuven 2017CFB143 / National Natural Science Foundation of Hubei Province of China 61761166010 / National Natural Science Foundation of China; National Natural Science Foundation of China (NSFC)
Identifiers: 99928671202346
Academic Unit: School of Computer Science and Electronic Engineering
Language: English
Resource Type: Journal article

New classes of complete permutation polynomials

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