Self-dual codes from orbit matrices and quotient matrices of combinatorial designs

DOI10.1016/j.disc.2018.08.019zbMath1397.05025OpenAlexW2890829676MaRDI QIDQ1800403

Dean Crnković, Nina Mostarac

Publication date: 23 October 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.08.019

zbMATH Keywords

self-dual codeblock designorbit matrixdivisible designquotient matrix

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (1)

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

Cites Work

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• Self-dual codes from extended orbit matrices of symmetric designs
• Hadamard-type block designs and self-dual codes
• Construction of block designs admitting an abelian automorphism group
• Self-dual codes from quotient matrices of symmetric divisible designs with the dual property
• Tactical decompositions of designs
• Quasi-symmetric designs and the Smith normal form
• Symmetric group divisible designs with the dual property
• On symmetric block designs (40,13,4) with automorphisms of order 5
• Hadamard matrices and doubly even self-dual error-correcting codes
• Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms
• Divisible design graphs
• On Automorphism Groups of Divisible Designs

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