On the embedding of constant-weight codes into perfect codes


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Abstract

We show that each q-ary constant-weight code of weight 3, minimum distance 4, and length m embeds in a q-ary 1-perfect code of length n = (qm − 1)/(q − 1).

About the authors

A. M. Romanov

Sobolev Institute of Mathematics

Author for correspondence.
Email: rom@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090


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