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| 摘要: |
| 本文研究了有限域上置换多项式的构造问题.利用分段方法构造了Fq2上形如（xq-x+c）（k（q2-1））/（d）+1+xq+x的置换多项式，其中1≤k < d且d是q-1的任意因子，推广了已有文献中的某些结果. |
| 关键词: 密码函数 置换多项式 分段函数 |
| DOI： |
| 分类号:O153.4 |
| 基金项目:Supported by the National Natural Science Foundation of China (61602125; 61502113); the Natural Science Foundation of Guangxi Province (2016GXNSFBA380153; 2016GXNSFBA380010); Guangxi Key Laboratory of Trusted Software (KX201620); Guangxi Key Laboratory of Cryptography and Information Security (GCIS201625). |
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| A NEW CLASS OF PERMUTATION POLYNOMIALS OVER FLNITE FLELDS |
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Zheng Yan-bin
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| Abstract: |
| In this paper, the problem of constructing permutation polynomials over finite fields is investigated. By using the piecewise method, a class of permutation polynomials of the form (xq-x+c)(k(q2-1))/(d)+1+xq+x over Fq2 is constructed, where 1≤k < d and d is an arbitrary factor of q-1, which generalizes some known results in the literature. |
| Key words: cryptographic function permutation polynomial piecewise function |
