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Full-Text Articles in Physical Sciences and Mathematics
Weighted Coverings And Packings, G. D. Cohen, Iiro Honkala, S. N. Litsyn, H. F. Mattson Jr
Weighted Coverings And Packings, G. D. Cohen, Iiro Honkala, S. N. Litsyn, H. F. Mattson Jr
Electrical Engineering and Computer Science - Technical Reports
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. We study the existence of perfect weighted codes, discuss connections between weighted coverings and packings, and present many constructions for them.