Complete mutually orthogonal golay complementary sets from Reed-Muller codes

被引：87

作者：

Rathinakumar, Appuswamy ^{[1
]}

Chaturvedi, Ajit Kumar ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Elect Engn, Kanpur 208016, Uttar Pradesh, India

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2008年 / 54卷 / 03期

关键词：

complementary sets; generalized Boolean function; mutually orthogonal Golay complementary sets; Reed-Muller (RM) codes; zero correlation zone (ZCZ) sequences;

D O I：

10.1109/TIT.2007.915980

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently Golay complementary sets were shown to exist in the subsets of second-order cosets of a q-ary generalization of the first-order Reed-Muller (RM) code. We show that mutually orthogonal Golay complementary sets can also be directly constructed from second-order cosets of a q-ary generalization of the first-order RM code. This identification can be used to construct zero correlation zone (ZCZ) sequences directly and it also enables the construction of ZCZ sequences with special subsets.

引用

页码：1339 / 1346

页数：8

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