满足k次扩散准则的布尔函数的谱特征
SPECTRAL CHARACTERIZATION OF BOOLEAN FUNCTIONS SATISFYING k ORDER PROPAGATION CRITERION
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摘要: 本文首先讨论了满足k次扩散准则的布尔函数的谱特征;其次探讨了满足k阶严格雪崩准则的布尔函数的谱特征;最后引入了广义e-k次扩散准则的概念,并给出了满足这种准则的布尔函数的谱特征。
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关键词:
- 扩散准则; 雪崩准则; 谱特征
Abstract: Firtly, spectral characterization of Boolean functions satisfying k order propagation criterion is discussed; secondly, spectral characterization of Boolean functions satisfying k order strict avalanche criterion is described; finally, the generalized e- k order propagation criterion is introduced and its spectral characterization is given. -
Webster A F, Tavares S E, On the Design of S-boxes. Advances in Cryptology-Crypto85, Springer-[2]Verlag, 1986, 523-534.[3]Forre R.[J].The Strict Avalanche Criterion: Spectral Properties of Boolean Functions and an Extended Definition. Advances in Cryptology-Crypto 88, Springer-Verlag.1990,:-[4]Preneel B.[J].Govaerts R, Vandewalle J. Boolean Functions Satisfying Higher Order Propagation Criteria. Advances in Cryptology-Eurocrypt91, Springer-Verlag.1991,:-[5]Cusick W.[J].Boolean Functions Satisfying a Higher Order Strict Avalanche Criterion. Advances in Cryptology-Eurocrypt93, Springer-Verlag.1993,:- -
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