An extremal problem related to the covering radius of binary codes

We introduce an extremal problem akin to the search for the parameters of binary linear codes of minimal distance 3 and the largest possible covering radius; we solve the problem in some cases, give some bounds, and also show how it relates to the construction of good codes with distance 3.

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Bibliographische Detailangaben
1. Verfasser: Zémor, G.
Format: Tagungsbericht
Sprache:eng
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Beschreibung
Zusammenfassung:We introduce an extremal problem akin to the search for the parameters of binary linear codes of minimal distance 3 and the largest possible covering radius; we solve the problem in some cases, give some bounds, and also show how it relates to the construction of good codes with distance 3.
ISSN:0302-9743
1611-3349
DOI:10.1007/BFb0034339