Some designs and codes invariant under the Tits group

DOI10.3934/amc.2017003zbMath1357.05019OpenAlexW2587936008MaRDI QIDQ514523

Amin Saeidi, Jamshid Moori

Publication date: 9 March 2017

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2017003

zbMATH Keywords

linear codessymmetric designsprimitive permutation representationsTits groupirreducible \(G\)-modules

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite simple groups and their classification (20D05)

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Uses Software

• GAP
• Magma

Cites Work

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• A global code invariant under the Higman-Sims group
• The Magma algebra system. I: The user language
• A self-orthogonal doubly even code invariant under \(M^c L:2\)
• A design and a code invariant under the simple group \(Co_ 3\)
• Algebraic and abstract simple groups
• Some designs and codes invariant under the simple group Co\(_{2}\)