多值逻辑函数相关免疫的Chrestenson变换条件  

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

作　　者：李世取[1] 曾本胜[1] 

机构地区：[1]郑州信息工程学院应用数学系

出　　处：《电子学报》1997年第2期50-52,共3页Acta Electronica Sinica

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．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.

关 键 词：p-值逻辑函数 相关免疫性 Chrestenson 变换 

分 类 号：O141.3[理学—数学]