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非线性平衡布尔函数及其构造方法
引用本文:朱亮,何敏.非线性平衡布尔函数及其构造方法[J].信息安全与通信保密,1998(2).
作者姓名:朱亮  何敏
作者单位:南京通信工程学院信息处理研究所 210016 (朱亮),南京通信工程学院电子线路研室 210016(何敏)
摘    要:介绍了抗密码分析能力强的布尔函数的两个重要特性:平衡性和非线性,并研究了三种可产生具有高非线性的布尔函数的方法,即链接、分裂、修改序列。最后指出通过修改序列获得的平衡布尔函数比通过以往任何构造方法获得的具有更高的非线性。

关 键 词:平衡  非线性  布尔函数  链接  分裂  修改

Non-linear Balanced Boolean Functions and Their Construction Methods
Zhu Liang He Min.Non-linear Balanced Boolean Functions and Their Construction Methods[J].China Information Security,1998(2).
Authors:Zhu Liang He Min
Affiliation:Nanjing Communication Engineering Institute 210016
Abstract:This paper introduces two important specifications for cryptographically strong Boolean functions: the balancedness and the nonlinearity, and studies three methods of yielding balanced Boolean functions with a very high nonlinearity,namely concatenating,splitting and modifying sequences. Finally this paper shows that balanced Boolean functions obtained by modifying sequences achieve a nonlinearity higher than that attainable by any previously known construction methods.
Keywords:balanced  nonlinearity  boolean functions  concatenating  splitting  modifying  
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