Construction of Boolean functions with excellent cryptographic criteria using bivariate polynomial representation

Wang Zhao; Zhang Xiao; Wang Sitao; Zheng Zhiming; Wang Wenhua

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Construction of Boolean functions with excellent cryptographic criteria using bivariate polynomial representation

机译：使用二元多项式表示构造具有优良密码学准则的布尔函数

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A class of

机译：一类

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来源
《International journal of computer mathematics》 |2016年第4期|425-444|共20页
作者
Wang Zhao; Zhang Xiao; Wang Sitao; Zheng Zhiming; Wang Wenhua;
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作者单位

Minist Educ, Key Lab Math Informat & Behav Semant, Beijing, Peoples R China|Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China;

Minist Educ, Key Lab Math Informat & Behav Semant, Beijing, Peoples R China|Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China;

Minist Educ, Key Lab Math Informat & Behav Semant, Beijing, Peoples R China|Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China;

Minist Educ, Key Lab Math Informat & Behav Semant, Beijing, Peoples R China|Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China;

Aviat Ind Dev Res Ctr China, Beijing, Peoples R China;

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正文语种 eng
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关键词
Boolean functions; algebraic immunity; fast algebraic attacks; nonlinearity; resiliency; 94C10; 68P25; 94A60; 06E30; 94A55;

机译：布尔函数;代数免疫;快速代数攻击;非线性;弹性;94C10;68P25;94A60;06E30;94A55;

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专利

1. Comments on “Constructions of Cryptographically Significant Boolean Functions Using Primitive Polynomials” [J] . Carlet C. Information Theory, IEEE Transactions on . 2011,第7期

机译：关于“使用原始多项式构造具有密码学意义的布尔函数的评论”
2. Constructions of Cryptographically Significant Boolean Functions Using Primitive Polynomials [J] . Information Theory, IEEE Transactions on . 2010,第6期

机译：使用原始多项式构造具有密码学意义的布尔函数
3. Generalized Construction of Boolean Function with Maximum Algebraic Immunity Using Univariate Polynomial Representation [J] . Shaojing FU, Chao LI, Longjiang QU IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2013,第1期

机译：单变量多项式表示的最大代数免疫布尔函数的广义构造
4. New Construction of Boolean Functions which Satisfy Multiple Cryptographic Criteria [C] . Yongzhuang Wei, Ning Ouyang, Yupu Hu International Conference on Communications and Networking in China . 2009

机译：满足多个加密标准的布尔函数的新建
5. Sequence design and construction of cryptographic Boolean functions [D] . Khoo, Khoongming 2004

机译：密码布尔函数的序列设计和构造
6. Algorithm for finding partitionings of hard variants of boolean satisfiability problem with application to inversion of some cryptographic functions [O] . Alexander Semenov, Oleg Zaikin -1

机译：查找布尔可满足性问题的硬变体分区的算法及其在某些密码函数求逆中的应用
7. Cryptographic Boolean functions: One output, many design criteria [O] . Stjepan Picek, Domagoj Jakobovic, Julian F. Miller, 2016

机译：加密布尔函数：一个输出，许多设计标准
8. Construction of Boolean Functions with Good Cryptographic Properties. [R] . Chung, J. H., Stanica, P., Tan, C., 2014

机译：具有良好密码特性的布尔函数的构造。

Construction of Boolean functions with excellent cryptographic criteria using bivariate polynomial representation

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