Quasi-symmetric 2-(41, 9, 9) designs and doubly even self-dual codes of length 40

DOI10.1007/s00200-022-00543-wzbMath1504.05028OpenAlexW4211166307MaRDI QIDQ2100117

Akihiro Munemasa, Vladimir D. Tonchev

Publication date: 21 November 2022

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-022-00543-w

zbMATH Keywords

automorphism groupcyclic codeself-dual codequasi-symmetric designsubdesign

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30)

Cites Work

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• A complete classification of doubly even self-dual codes of length 40
• Strongly regular graphs, partial geometries and partially balanced designs
• Fundamentals of Error-Correcting Codes
• Self‐Dual Codes and the Nonexistence of a Quasi‐Symmetric 2‐(37,9,8) Design with Intersection Numbers 1 and 3
• On the classification and enumeration of self-dual codes

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