Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of \(M_{11}\)

DOI10.1007/s00200-020-00484-2OpenAlexW3128249872MaRDI QIDQ2682401

Ivona Traunkar, Vedrana Mikulić Crnković

Publication date: 31 January 2023

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

Full work available at URL: https://arxiv.org/abs/1910.13133

zbMATH Keywords

designlinear codeMathieu grouporbit matrixself-orthogonal codesweakly self-orthogonal design

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Theory of error-correcting codes and error-detecting codes (94Bxx)

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Self-orthogonal codes from Deza graphs, normally regular digraphs and Deza digraphs

Cites Work

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• Self-dual codes from extended orbit matrices of symmetric designs
• On some transitive combinatorial structures constructed from the unitary group \(U(3,3)\)
• On the binary codes of Steiner triple systems
• Permutation groups and binary self-orthogonal codes
• Self-orthogonal designs and extremal doubly even codes
• Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices
• On self-orthogonal designs and codes related to Held's simple group
• Self-dual codes from orbit matrices and quotient matrices of combinatorial designs
• Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms
• Self-orthogonal codes from orbit matrices of 2-designs