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Constructing Permutation Binomials from Permutations of Subfields

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Permutation polynomials is a hot topic in finite fields,they have many applications in different areas.Permutation binomials and trinomials over finite fields were studied recently.In this paper,by using a powerful lemma given by Zieve and some degree 5 and 6 permutation polynomials over Fq,we construct some permutation binomials over Fqm.

finite fieldpermutation binomialsnormalized permutation polynomials

QIN Xiaoer、YAN Li

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College of Mathematics and Statistics, Yangtze Normal University, Chongqing 408100, China

School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Supported Partially by the National Natural Science Foundation of ChinaScience and Technology Research Projects of Chongqing Municipal Education CommissionScience and Technology Research Projects of Chongqing Municipal Education CommissionFund Project of Chongqing Normal University

11926344KJQN201901402KJQN20190050617XWB021

2020

10.19823/j.cnki.1007-1202.2020.0034

武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子：0.066
ISSN：1007-1202
年,卷(期)：2020.25(4)
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