On extended 1-perfect bitrades

DOI10.1016/J.DISC.2024.114222MaRDI QIDQ6635087

Evgeniĭ Andreevich Bespalov, Denis S. Krotov

Publication date: 9 November 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

perfect codecompletely regular codeuniformly packed codebitradeextended perfect code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial codes (94B25)

Cites Work

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• Multidimensional Latin bitrades
• On weight distributions of perfect colorings and completely regular codes
• To the theory of \(q\)-ary Steiner and other-type trades
• Completely regular codes
• Minimum supports of functions on the Hamming graphs with spectral constraints
• On existence of perfect bitrades in Hamming graphs
• On the non-existence of extended 1-perfect codes and MDS codes
• The theory and application of latin bitrades: A survey
• Minimum supports of eigenfunctions of graphs: a survey
• On perfect codes and related concepts
• On completely regular codes

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