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多输出m值逻辑函数的谱特征

赵亚群 应定海 冯登国

郑州大学学报(理学版)2006,Vol.38Issue(3):4-9,6.
郑州大学学报(理学版)2006,Vol.38Issue(3):4-9,6.

多输出m值逻辑函数的谱特征

Spectral Characteristics of Multi-output m-valued Logical Functions

赵亚群 1应定海 2冯登国1

作者信息

  • 1. 信息工程大学信息工程学院,郑州,450002
  • 2. 中国科学院研究生院信息安全国家重点实验室,北京,100039
  • 折叠

摘要

Abstract

Certain spectral characteristics of multi-output m-valued logical functions over Zm 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.

关键词

剩余类环/多输出m值逻辑函数/广义一阶Chrestenson谱

Key words

Zm ring/multi-output m-valued logical function/generalized first order Chrestenson spectrum

分类

信息技术与安全科学

引用本文复制引用

赵亚群,应定海,冯登国..多输出m值逻辑函数的谱特征[J].郑州大学学报(理学版),2006,38(3):4-9,6.

基金项目

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). (2005-01-02)

郑州大学学报(理学版)

OACSTPCD

1671-6841

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