Weighted coverings and packings

被引:9
作者
Cohen, G
Honkala, I
Litsyn, SN
Mattson, HF
机构
[1] TURKU UNIV, DEPT MATH, SF-20500 TURKU 50, FINLAND
[2] TEL AVIV UNIV, DEPT ELECT ENGN SYST, IL-69978 RAMAT AVIV, ISRAEL
[3] SYRACUSE UNIV, SCH COMP & INFORMAT SCI, SYRACUSE, NY 13244 USA
关键词
combinatorial codes; coverings; perfect codes; constructions of codes;
D O I
10.1109/18.476311
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we introduce a generalization of the concepts of coverings and packings in Hamming space called weighted coverings and packings. This allows us to formulate a number of well-known coding theoretical problems in a uniform manner. The study the existence of perfect weighted codes, discuss connections between weighted coverings and packings, and present many constructions for them.
引用
收藏
页码:1856 / 1867
页数:12
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