Article ID Journal Published Year Pages File Type
4649842 Discrete Mathematics 2009 5 Pages PDF
Abstract

We introduce a refinement in the method proposed some time ago by Haas for obtaining new lower bounds for the cardinality of codes with covering radius 1. As an application, we show that the minimal cardinality of a binary code in dimension 27 with covering radius 1 is at least K2(27,1)≥4794174.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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