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多输出m值逻辑函数的谱特征(英文)

Spectral Characteristics of Multi-output m-valued Logical Functions
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摘要 讨论了剩余类环上多输出多值逻辑函数的谱特征,给出了多输出m值逻辑函数的广义一阶Chrestenson谱与单输出m值逻辑函数Chrestenson谱之间的关系,得到了多输出m值逻辑函数的广义一阶Chrestenson谱与其函数之间的转换公式,接着给出了多输出m值逻辑函数的广义一阶Chrestenson谱的概率表示式.同时讨论了多输出m值逻辑函数的广义一阶Chrestenson线性谱和循环谱之间的关系,并给出了这两种谱之间的关系式. Certain spectral characteristics of multi-output m-valued logical functions over Zn ring are discussed. The relation between the generalized first order Chrestenson spectrum of multi-output m-valued logical functions and the Chrestenson spectrum of single-output m-valued logical functions is given. The transformation between multi-output m-valued logical functions ' generalized first order Chrestenson spectrum and the functions themselves is present. Then, the probability expression of multi-output m-valued logical functions' generalized first order Chrestenson spectrum is given. At last, the relation between multi-output m-valued logical functions' generalized first order linear spectrum and generalized first order cyclic spectrum is discussed and the transformation of these two spectra is obtained.
出处 《郑州大学学报(理学版)》 CAS 2006年第3期4-9,共6页 Journal of Zhengzhou University:Natural Science Edition
基金 中国科学院研究生院信息安全国家重点实验开放课题基金项目(2005-01-02)
关键词 剩余类环 多输出m值逻辑函数 广义一阶Chrestenson谱 Zm ring multi-output m-valued logical function generalized first order Chrestenson spectrum
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参考文献8

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