摘要
AGW准则和分段方法是构造有限域上置换多项式的两种主要方法。介绍有限域上置换多项式在密码学和编码理论中的应用,总结利用AGW准则和分段方法构造有限域上置换多项式和逆置换的研究进展,阐述置换多项式存在的问题,并对下一步研究工作进行展望。
The Akbary-Ghioca-Wang(AGW) criterion and piecewise method are two main methods for constructing permutation polynomials of finite fields.This paper introduces the application of permutation polynomials in cryptography and coding theory,reviews the research progress of the permutation polynomials and their inverses constructed by AGW criterion and piecewise method,describes the problem of permutation polynomials,and finally the next step is to look into the research work.
作者
郑彦斌
易宗向
ZHENG Yanbin;YI Zongxiang(Guangxi Key Laboratory of Cryptography and Information Security,Guilin University of Electronic Technology,Guilin,Guangxi 541004,China;School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China;Department of Public Foundation,Guangdong University of Science and Technology,Dongguan,Guangdong 523083,China)
出处
《计算机工程》
CAS
CSCD
北大核心
2019年第9期124-127,共4页
Computer Engineering
基金
国家自然科学基金(61602125,61502113)
广西自然科学基金(2016GXNSFBA380153,2017GXNSFAA198192)
广西密码学与信息安全重点实验室项目(GCIS201625)
关键词
密码学
有限域
逆置换
多项式
AGW准则
分段方法
cryptography
finite fields
inverses of permutation
polynomials
Akbary-Ghioca-Wang(AGW) criterion
piecewise method
