A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Weighted coverings and packings
Tekijät: Cohen G, Honkala I, Litsyn SN, Mattson HF
Kustantaja: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Julkaisuvuosi: 1995
Journal: IEEE Transactions on Information Theory
Tietokannassa oleva lehden nimi: IEEE TRANSACTIONS ON INFORMATION THEORY
Lehden akronyymi: IEEE T INFORM THEORY
Vuosikerta: 41
Numero: 6
Aloitussivu: 1856
Lopetussivu: 1867
Sivujen määrä: 12
ISSN: 0018-9448
DOI: https://doi.org/10.1109/18.476311
Tiivistelmä
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.
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.
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