Perfect binary codes of infinite length

DOI10.1134/S1990478917020089zbMath1399.94103OpenAlexW2619340270MaRDI QIDQ5373997

Sergey Artem'evich Malyugin

Publication date: 6 April 2018

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478917020089

zbMATH Keywords

continuumHamming codeperfect binary codecomponenthypercontinuumVasil'ev code

Mathematics Subject Classification ID

Combinatorial codes (94B25)

Related Items (3)

Perfect binary codes of infinite length with complete system of triples ⋮ Linear perfect codes of infinite length over infinite fields ⋮ Systematic and nonsystematic perfect codes of infinite length over finite fields

Cites Work

• Infinite-dimensional quasigroups of finite orders.
• Construction of perfect binary codes by sequential shifts of \(\tilde\alpha\)-components
• Kernels of nonlinear Hamming codes
• On enumeration of the perfect binary codes of length 15
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