几类二元等重码的构造  

Several types of binary constant weight codes

作　　者：周四维[1] 张莉[1] 李跃新[2] 

机构地区：[1]湖北大学知行学院,湖北武汉430011 [2]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2012年第3期340-345,共6页Journal of Hubei University：Natural Science

基　　金：湖北省自然科学基金(No.2011CDB055);湖北省产学研基金(重点)项目(No.C2010017)资助

摘　　要：基于差集对应的二元两值自相关序列,给出一类二元等重码的构造方法,并讨论所得码的各个参数,最后将构造推广到一般情形,即这类等重码的构造方法适用于任意的单个序列.结合已知的理论界,讨论所得码的最优性,证明这类码中存在一些最优码.Based on the sequences with two-valued autocorrelation that correspond to difference sets,a method for the construction of a class of binary constant weight codes was presented in this paper,and the parameters of the obtained codes were discussed in detail.We ultimately generalized this method to a general case,that was,each binary sequence would be used to construct constant weight codes.Combining with some known bounds,we discussed whether the obtained codes were optimal or not,and proved that some of them were optimal.

关 键 词：差集 序列 自相关 等重码 最优码 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]