| 差集和殆差集的构造 |
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| 引用本文： | 亓健. 差集和殆差集的构造[J]. 科学技术与工程, 2009, 9(11) |
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| 作者姓名： | 亓健 |
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| 作者单位： | 中国石油大学(华东)数学与计算科学学院,东营,257061 |
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| 摘 要： | 寻求低自相关值分布的周期为N的二元密钥流序列等价于证明这种序列的特征集是所在剩余类环ZN的差集.利用一种新的构造差集和殆差集的方法,证明了许多利用计算机搜索和冗长的证明得到的差集和殆差集可由这种方法容易获得.
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| 关 键 词： | 流密码 自相关 差集 殆差集 |
Constructions of Difference Sets and Almost Difference Sets |
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| QI Jian. Constructions of Difference Sets and Almost Difference Sets[J]. Science Technology and Engineering, 2009, 9(11) |
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| Authors: | QI Jian |
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| Affiliation: | Institute of Math.and Comp.;China Univ.of Petroleum;Dongying 257061;P.R.China |
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| Abstract: | A binary stream cipher sequence with the length N possesses low autocorrelation distribution if and only if its charateristic set is a differenceset in the residue ring ZN.Many classical difference sets and almost difference sets are proved to be formed easily by a new method based on their corresponding almost difference sets and difference sets respectively.These classical difference sets and almost difference sets were discoved by computer searching and other tendious methods. |
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| Keywords: | stream cipher autocorrelation difference set almost difference set |
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