Email this article On the embedding of constant-weight codes into perfect codes
- Authors: Romanov A.M.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 10, No 4 (2016)
- Pages: 556-559
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212547
- DOI: https://doi.org/10.1134/S1990478916040128
- ID: 212547
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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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