Triple-Cycle Permutations Over Finite Fields of Characteristic Two-Reference-Cited by-同舟云学术

Triple-Cycle Permutations Over Finite Fields of Characteristic Two

Published:2019-02 Issue:02 Volume:30 Page:275-292
ISSN:0129-0541
Container-title:International Journal of Foundations of Computer Science
language:en
Short-container-title:Int. J. Found. Comput. Sci.

Author:

Liu Xianping¹²,Chen Yuan¹²^ORCID,Xu Yunge¹²^ORCID,Sun Zhimin¹²

Affiliation:

1. Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062, P. R. China

2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, P. R. China

Abstract

Triple-cycle permutations over finite fields of characteristic two are studied, and some classes of triple-cycle permutations are proposed in this paper. In addition, new triple-cycle permutations can be constructed by switching construction from known ones.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129054119500059

Reference23 articles.

1. New methods for generating permutation polynomials over finite fields

2. Constructing permutation polynomials from piecewise permutations

3. Involutions Over the Galois Field

4. Vectorial Boolean Functions for Cryptography

5. Dickson polynomial permutations

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1. Generalized Lucas polynomials over finite fields;Finite Fields and Their Applications;2023-08

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4. Characterizations and constructions of triple-cycle permutations of the form $$x^rh(x^s)$$;Designs, Codes and Cryptography;2020-06-23