Conditions of Chrestenson Transformation of Correlation-Immunity if Multivalued Logical functions

李世取; 曾本胜

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Conditions of Chrestenson Transformation of Correlation-Immunity if Multivalued Logical functions

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- Conditions of Chrestenson Transformation of Correlation-Immunity if Multivalued Logical functions
- Acta Electronica Sinica Issue 2, (1997)
- 作者机构：
  
  郑州信息工程学院应用数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：1997
- 稿件说明：
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[1]李世取,曾本胜.多值逻辑函数相关免疫的Chrestenson变换条件[J].电子学报,1997(02):50-52+56.

李世取, 曾本胜. Conditions of Chrestenson Transformation of Correlation-Immunity if Multivalued Logical functions[J]. Acta Electronica Sinica, 1997, (2).
[1]李世取,曾本胜.多值逻辑函数相关免疫的Chrestenson变换条件[J].电子学报,1997(02):50-52+56. DOI：

李世取, 曾本胜. Conditions of Chrestenson Transformation of Correlation-Immunity if Multivalued Logical functions[J]. Acta Electronica Sinica, 1997, (2). DOI：

摘要

本文给出了户≥３是素数或ｐ＝４，６时ｐ－值逻辑函数相关免疫的等价条件，并由此直接通过ｐ－值逻辑函数的Ｃｈｒｅｓｔｅｎｓｏｎ变换，在户如上取值时给出了ｐ－值逻辑函数具有相关免疫的充要条件．就Ｃｈｒｅｓｔｅｎｓｏｎ变换而言，在ｐ≥３是素数时，对Ｘｉａｏ－Ｍａｓｓｅｙ定理做了圆满推广．

Abstract

This paper presents equivalent conditions of correlation-immunity of p-valued logical functions with p≥3 being a prime or p= 4

6. Based on this

necessary and sufficient conditions of correlation-immunity of p-valued logical functions are obtained by using Chrestenson transformation. Where Chrestenson transformation is concerned

Xiao-Massey Theorem is extended perfectly in the case of p≥3 being a prime.

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