On the Covering Radius Problem for Codes I. Bounds on Normalized Covering Radius
نویسندگان
چکیده
منابع مشابه
On the Covering Radius Problem for Codes I . Bounds on Normalized Covering Radius
In this two-part paper we introduce the notion of a stable code and give a new upper bound on the normalized covering radius ofa code. The main results are that, for fixed k and large n, the minimal covering radius t[n, k] is realized by a normal code in which all but one of the columns have multiplicity l; hence tin + 2, k] t[n, k] + for sufficiently large n. We also show that codes with n _-<...
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Designing a good error-correcting code is a packing problem. The corresponding covering problem has received much less attention: now the codewords must be placed so that no vector of the space is very far from the nearest codeword. The two problems are quite different, and with a few exceptions good packings, i.e. codes with a large minimal distance, are usually not especially good coverings. ...
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ژورنال
عنوان ژورنال: SIAM Journal on Algebraic Discrete Methods
سال: 1987
ISSN: 0196-5212,2168-345X
DOI: 10.1137/0608049