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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Format: | Tagungsbericht |
Sprache: | eng |
Online-Zugang: | Volltext |
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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. |
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ISSN: | 0302-9743 1611-3349 |
DOI: | 10.1007/BFb0034339 |