扩散准则与相关免疫

TN911.2; 对于布尔函数f(x),设不满足扩散准则的元素之集为Rf,不满足相关免疫的元素之集为ζf,即Rf={αi|△(αi)≠0,0≤i≤2n-1 },ζf={αi|＜ξ,lαi＞≠o,0≤i≤2n-l}.本文首先讨论了集合ξf中元素的相关性,并讨论了|ζf|=l,2,3,4时函数的结构和性质.其次讨论了Rf构成线性子空间时,Rf和线性结构之集Lf之间的关系,其中Lf={αi|△(αi)2n,O≤I≤2n-1},给出Rf构成线性子空间时,Rr中的元素全部是线性结构的充要条件.还给出-种2阶扩散准则函数的构造方法....

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Published inTongxin Xuebao Vol. 25; no. 6; pp. 40 - 49
Main Authors 戚文峰, 何德峰
Format Journal Article
LanguageChinese
Published 郑州信息工程大学,信息工程学院应用数学系,河南,郑州,450002 2004
Editorial Department of Journal on Communications
Subjects
相关免疫
布尔函数
扩散准则
线性结构
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Abstract TN911.2; 对于布尔函数f(x),设不满足扩散准则的元素之集为Rf,不满足相关免疫的元素之集为ζf,即Rf={αi|△(αi)≠0,0≤i≤2n-1 },ζf={αi|＜ξ,lαi＞≠o,0≤i≤2n-l}.本文首先讨论了集合ξf中元素的相关性,并讨论了|ζf|=l,2,3,4时函数的结构和性质.其次讨论了Rf构成线性子空间时,Rf和线性结构之集Lf之间的关系,其中Lf={αi|△(αi)2n,O≤I≤2n-1},给出Rf构成线性子空间时,Rr中的元素全部是线性结构的充要条件.还给出-种2阶扩散准则函数的构造方法.
AbstractList TN911.2; 对于布尔函数f(x),设不满足扩散准则的元素之集为Rf,不满足相关免疫的元素之集为ζf,即Rf={αi|△(αi)≠0,0≤i≤2n-1 },ζf={αi|＜ξ,lαi＞≠o,0≤i≤2n-l}.本文首先讨论了集合ξf中元素的相关性,并讨论了|ζf|=l,2,3,4时函数的结构和性质.其次讨论了Rf构成线性子空间时,Rf和线性结构之集Lf之间的关系,其中Lf={αi|△(αi)2n,O≤I≤2n-1},给出Rf构成线性子空间时,Rr中的元素全部是线性结构的充要条件.还给出-种2阶扩散准则函数的构造方法.
Author 何德峰
戚文峰
AuthorAffiliation 郑州信息工程大学,信息工程学院应用数学系,河南,郑州,450002
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布尔函数
扩散准则
线性结构
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Editorial Department of Journal on Communications
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Snippet TN911.2; 对于布尔函数f(x),设不满足扩散准则的元素之集为Rf,不满足相关免疫的元素之集为ζf,即Rf={αi|△(αi)≠0,0≤i≤2n-1...
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Title 扩散准则与相关免疫
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