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完美二进序列偶的构造
引用本文:沈小青,张胜元.完美二进序列偶的构造[J].泉州师范学院学报,2009,27(6):10-13.
作者姓名:沈小青  张胜元
作者单位:1. 福建广播电视大学,连城工作站,福建,连城,366200
2. 福建师范大学,数学与计算机科学学院,福建,福州,350007
基金项目:福建省自然科学基金,福建省教育厅科技项目 
摘    要:完美二进序列偶是完美二进序列的推广,其对应的组合结构称为差集偶.文章通过直接构造方法给出了Zu上的(4t;2t-1,2t-1,t;t-1)-差集偶,进而证明了对任意正整数t,都存在4t长等重完美二进序列偶.

关 键 词:二进序列偶  差集偶  完美二进序列偶  等重

Construction for Perfect Binary Sequence Pairs
SHEN Xiao-qing,ZHANG Sheng-yuan.Construction for Perfect Binary Sequence Pairs[J].Journal of Quanzhou Normal College,2009,27(6):10-13.
Authors:SHEN Xiao-qing  ZHANG Sheng-yuan
Institution:1. Lianeheng Workstation of Fujian Radio and Television University,Fujian 366200, China; 2. Department of Mathematics and Computer Science,Fujian Normal University,Fujian 350007,China)
Abstract:Perfect binary sequence pair constitutes a generalization of perfect binary sequence,difference set pair is its corresponding combinatorial configuration. In this paper, the (4t;2t-1,2t-1,t;t-1)- difference set pair of Z4t is obtained by direct construction, therefore,it's proved that for any positive integer t, there exists a perfect binary sequence pair with length 4t and equal-weights 2t -- 1.
Keywords:binary sequence pair  difference set pair  perfect binary sequence pair  equal-weights
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