Weighted coverings and packings
Gérard Cohen, Iiro S. Honkala, Simon N. Litsyn, Harold F. Mattson · IEEE Transactions on Information Theory · 1995
Introduces a generalization of the concepts of coverings and packings in Hamming space called weighted coverings and packings. This allows to formulate a number of well-known coding theoretical problems in a uniform manner. The authors study the existence of perfect weighted codes, discuss connections between weighted coverings and packings, and present many constructions for them.