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-  2015 

Hamming约束集的计数问题
The cardinalities of some certain Hamming constraint sets

DOI: 10.7523/j.issn.2095-6134.2015.06.001

Keywords: 布尔函数,Tu-Deng猜想,Hamming重量
Boolean function
,Tu-Deng conjecture,Hamming weight

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Abstract:

摘要 构造一个应用于流密码并且具有良好性质的布尔函数是一个非常困难的问题. 最近, Tu和Deng基于一个关于二进制串分布(我们称之为Hamming约束集)的组合猜想的正确性, 构造了两类具有良好性质的布尔函数. 越来越多的学者致力于Tu-Deng猜想的证明. 本文用一种新方法给出某些Hamming约束集的计数公式, 从而部分地证明Tu-Deng猜想.

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