@article{0d9b619349464788a18f655ff00cef21,
title = "Weighted Coverings and Packings",
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. We study the existence of perfect weighted codes, discuss connections between weighted coverings and packings, and present many constructions for them.",
keywords = "Combinatorial codes, constructions of codes, coverings, perfect codes",
author = "G{\'e}rard Cohen and Iiro Honkala and Litsyn, {Simon N.} and Mattson, {H. F.}",
note = "Funding Information: Manuscript received September 9, 1993; revised February 7, 1995. Some of the results of this paper were presented at SEQUENCES {\textquoteright}91, Methods in Communication, Security and Computer Science, Positano, Italy, June 1991; at the French-Soviet Workshop on Algebraic Coding, Paris, France, July 1991; at EUROCODE {\textquoteright}92, Udine, Italy, Oct. 1992; and at the IEEE International Symposium on Information Theory, Trondheim, Norway, June 1994. S. N. Litsyn was supported by the Guastallo Fellowship and a grant from the Israeli Ministry of Science and Technology.",
year = "1995",
month = nov,
doi = "10.1109/18.476311",
language = "אנגלית",
volume = "41",
pages = "1856--1867",
journal = "IEEE Transactions on Information Theory",
issn = "0018-9448",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "6",
}