A Class of New Permutation Polynomials over F2n

In this paper, according to the known results of some normalized permutation polynomials with degree 5 over F2n, we determine sufficient and necessary conditions on the coefficients b1,b2∈F2n2 such that fx=x3x¯2+b1x2x¯+b2x permutes F2n. Meanwhile, we obtain a class of complete permutation binomials...

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Autores principales:	Qian Liu, Ximeng Liu, Jian Zou
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/ea50e3fc270e4c2f9e369e2813bdbba4
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spelling	oai:doaj.org-article:ea50e3fc270e4c2f9e369e2813bdbba42021-11-29T00:56:57ZA Class of New Permutation Polynomials over F2n2314-478510.1155/2021/5872429https://doaj.org/article/ea50e3fc270e4c2f9e369e2813bdbba42021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5872429https://doaj.org/toc/2314-4785In this paper, according to the known results of some normalized permutation polynomials with degree 5 over F2n, we determine sufficient and necessary conditions on the coefficients b1,b2∈F2n2 such that fx=x3x¯2+b1x2x¯+b2x permutes F2n. Meanwhile, we obtain a class of complete permutation binomials over F2n.Qian LiuXimeng LiuJian ZouHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Qian Liu Ximeng Liu Jian Zou A Class of New Permutation Polynomials over F2n
description	In this paper, according to the known results of some normalized permutation polynomials with degree 5 over F2n, we determine sufficient and necessary conditions on the coefficients b1,b2∈F2n2 such that fx=x3x¯2+b1x2x¯+b2x permutes F2n. Meanwhile, we obtain a class of complete permutation binomials over F2n.
format	article
author	Qian Liu Ximeng Liu Jian Zou
author_facet	Qian Liu Ximeng Liu Jian Zou
author_sort	Qian Liu
title	A Class of New Permutation Polynomials over F2n
title_short	A Class of New Permutation Polynomials over F2n
title_full	A Class of New Permutation Polynomials over F2n
title_fullStr	A Class of New Permutation Polynomials over F2n
title_full_unstemmed	A Class of New Permutation Polynomials over F2n
title_sort	class of new permutation polynomials over f2n
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/ea50e3fc270e4c2f9e369e2813bdbba4
work_keys_str_mv	AT qianliu aclassofnewpermutationpolynomialsoverf2n AT ximengliu aclassofnewpermutationpolynomialsoverf2n AT jianzou aclassofnewpermutationpolynomialsoverf2n AT qianliu classofnewpermutationpolynomialsoverf2n AT ximengliu classofnewpermutationpolynomialsoverf2n AT jianzou classofnewpermutationpolynomialsoverf2n
_version_	1718407682339110912

A Class of New Permutation Polynomials over F2n

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