\(M\)-matrices of the ternary Golay code and the Mathieu group \(M_{12}\).

DOI10.3836/tjm/1219844826zbMath1149.94014OpenAlexW1995177878MaRDI QIDQ946987

Ryuji Sasaki, Maro Kimizuka

Publication date: 29 September 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1219844826

zbMATH Keywords

\(M\)-matricesternary Golay codeMathieu groups

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Combinatorial codes (94B25)

Cites Work

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• A combinatorial approach to the conjugacy classes of the Mathieu simple groups, \(M_{24}\), \(M_{23}\), \(M_{22}\)
• Involutions of the Mathieu group \(M_{24}\).
• Geometric interpretations of the ‘natural’ generators of the Mathieu groups
• On Involutions Which Generate Mathieu GroupsM₁₁andM₁₂
• A new combinatorial approach to M₂₄

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