Permutation polynomials (x(Pm) - x + delta)(s1) + (x(Pm) - x + delta)(s2) + x over F-pn

Lisha Li; Shi Wang; Chaoyun Li; Xiangyong Zeng

doi:10.1016/j.ffa.2018.01.003

Back

Permutation polynomials (x(Pm) - x + delta)(s1) + (x(Pm) - x + delta)(s2) + x over F-pn

Journal article

Open access

Peer reviewed

Permutation polynomials (x(Pm) - x + delta)(s1) + (x(Pm) - x + delta)(s2) + x over F-pn

Lisha Li, Shi Wang, Chaoyun Li and Xiangyong Zeng

Finite fields and their applications, Vol.51, pp.31-61

01/05/2018

DOI: https://doi.org/10.1016/j.ffa.2018.01.003

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

In this paper, we propose several classes of permutation polynomials with the form (x(pm) - x +delta)(s1) +(x(Pm) - x+delta)(s2) + x over finite fields. The permutation behavior of the proposed polynomials is investigated by the AGW criterion and determination of the number of solutions to certain equations over finite fields. (C) 2018 Elsevier Inc. All rights reserved.

Files and links (1)

url

https://doi.org/10.1016/j.ffa.2018.01.003View

Published (Version of record) Open

Metrics

1 Record Views

Details

Title: Permutation polynomials (x(Pm) - x + delta)(s1) + (x(Pm) - x + delta)(s2) + x over F-pn
Creators: Lisha Li - Hubei University
Shi Wang - Hubei University
Chaoyun Li - KU Leuven
Xiangyong Zeng - Hubei University
Publication Details: Finite fields and their applications, Vol.51, pp.31-61
Publisher: Elsevier
Number of pages: 31
Date published: 01/05/2018
Grant note: H2020-MSCA-ITN-2014-643161 ECRYPT-NET / European Union's Horizon 2020 research and innovation program 61672212; 61702166 / National Natural Science Foundation of China; National Natural Science Foundation of China (NSFC) 2017CFB143 / National Natural Science Foundation of Hubei Province of China
Identifiers: 99928916802346
Academic Unit: School of Computer Science and Electronic Engineering
Language: English
Resource Type: Journal article

Permutation polynomials (x(Pm) - x + delta)(s1) + (x(Pm) - x + delta)(s2) + x over F-pn

Abstract

Files and links (1)

Metrics

Details

Usage Policy