Some designs and binary codes preserved by the simple group \(\mathrm{Ru}\) of Rudvalis

DOI10.1016/j.jalgebra.2012.09.032zbMath1307.05023OpenAlexW2088090089MaRDI QIDQ2376720

Bernardo Gabriel Rodrigues, Jamshid Moori

Publication date: 24 June 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.09.032

zbMATH Keywords

designcodesporadic simple groupRudvalis groupprimitive permutation representation

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Simple groups: sporadic groups (20D08) Combinatorial codes (94B25)

Related Items (3)

A projective two-weight code related to the simple group \(\mathrm{Co}_1\) of Conway ⋮ On some codes from rank 3 primitive actions of the simple Chevalley group \(G_2(q) \) ⋮ On self-orthogonal designs and codes related to Held's simple group

Uses Software

• Magma

Cites Work

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• The Magma algebra system. I: The user language
• A self-orthogonal doubly even code invariant under \(M^c L:2\)
• Some designs and codes invariant under the simple group Co\(_{2}\)
• The Primitive Permutation Groups of Degree Less Than 4096
• The Finite Simple Groups
• A construction of the simple group of Rudvalis from the group U₃(5):2
• The Geometry and Maximal Subgroups of the Simple Groups of A. Rudvalis and J. Tits

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