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屏蔽二进序列偶的构造
引用本文:黄丹芸.屏蔽二进序列偶的构造[J].鹭江职业大学学报,2014(3):57-60.
作者姓名:黄丹芸
作者单位:泉州师范学院数学与计算机科学学院,福建泉州362000
摘    要:对屏蔽二进序列偶进行研究,证明了一类特殊的差集偶与最佳屏蔽二进序列偶是等价的,以及另一类特殊的差集偶与伪随机屏蔽二进序列偶是等价的;证明了几乎最佳屏蔽二进序列偶与一类特殊的可分差集偶之间的等价关系,为应用差集偶和可分差集偶构造屏蔽二进序列偶提供了理论依据。利用分圆类方法构造与最佳屏蔽二进序列偶等价的差集偶,得到几类最佳屏蔽二进序列偶。

关 键 词:屏蔽二进序列偶  差集偶  分圆类

Constructions of Punctured Binary Sequence Pairs
HUANG Dan-yun.Constructions of Punctured Binary Sequence Pairs[J].Journal of Lujiang University,2014(3):57-60.
Authors:HUANG Dan-yun
Institution:HUANG Dan-yun ( Department of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China)
Abstract:A study was made of punctured binary sequence pairs. Results show that a special difference set pairs is equal to perfect punctured binary sequence pairs, and another is equal to pseudorandom perfect punctured binary sequence pairs, which proves the equivalence between almost perfect punctured binary sequence pairs and a special class of divisible difference set pairs, and provides theoretical basis for using difference set pairs and divisible difference set pairs to construct punctured binary sequence pairs. By using cyclotomic class, several classes of difference set pairs which are equal to perfect punctured binary sequence pairs are thus obtained.
Keywords:punctured binary sequence pairs  difference set pairs  cyclotomic class
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