New uniqueness proofs for the (5,8,24), (5,6,12) and related Steiner systems

DOI10.1016/0097-3165(82)90039-5zbMath0492.51011OpenAlexW2072771294MaRDI QIDQ1167931

Deborah J. Bergstrand

Publication date: 1982

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(82)90039-5

zbMATH Keywords

linear codesSteiner systemuniqueness proofsGolay codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other designs, configurations (05B30) Steiner systems in finite geometry (51E10) Triple systems (05B07)

Related Items (2)

A coding theoretic approach to extending designs ⋮ Unnamed Item

Cites Work

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• Transitive Erweiterungen endlicher Permutationsgruppen
• On the Mathieu groups \(M_ 22, M_ 23, M_ 24\) and the uniqueness of the assoiated Steiner system
• Nearly perfect binary codes
• A new combinatorial approach to M₂₄
• On the uniqueness of the Golay codes
• Coding theory and the Mathieu groups
• On the classification and enumeration of self-dual codes

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