n-Cycle置换的进一步研究

张志林, 袁平之

数学学报 ›› 2023, Vol. 66 ›› Issue (1) : 95-104.

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数学学报 ›› 2023, Vol. 66 ›› Issue (1) : 95-104. DOI: 10.12386/A20210088
论文

n-Cycle置换的进一步研究

    张志林, 袁平之
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Further Results on n-Cycle Permutations

    Zhi Lin ZHANG, Ping Zhi YUAN
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文章历史 +

摘要

作为陈、王、朱近期工作的延伸,我们将继续讨论型为xrh(xs)的n-cycle置换. 另外,基于一些细致的讨论研究, 我们还将给出四个有意思的问题.

Abstract

In this paper, some new classes of n-cycle permutations of the form xrh(xs) over finite fields are presented, which are the further study on a recent work of Chen, Wang and Zhu. In addition, based on some detailed discussions, four interesting problems are proposed.

关键词

置换多项式 / n-cycle置换 / 有限域 / xrh(xs)

Key words

permutation polynomials / n-cycle permutation / finite fields / xrh(xs)

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张志林, 袁平之. n-Cycle置换的进一步研究. 数学学报, 2023, 66(1): 95-104 https://doi.org/10.12386/A20210088
Zhi Lin ZHANG, Ping Zhi YUAN. Further Results on n-Cycle Permutations. Acta Mathematica Sinica, Chinese Series, 2023, 66(1): 95-104 https://doi.org/10.12386/A20210088

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基金

国家自然科学基金资助项目(12001204, 12171163)
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