A1 Refereed original research article in a scientific journal

Weighted coverings and packings




AuthorsCohen G, Honkala I, Litsyn SN, Mattson HF

PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

Publication year1995

JournalIEEE Transactions on Information Theory

Journal name in sourceIEEE TRANSACTIONS ON INFORMATION THEORY

Journal acronymIEEE T INFORM THEORY

Volume41

Issue6

First page 1856

Last page1867

Number of pages12

ISSN0018-9448

DOIhttps://doi.org/10.1109/18.476311(external)


Abstract
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.


Research Areas



Last updated on 2024-26-11 at 17:49