New extremal self-dual binary codes of length 68 via composite construction, \( \mathbb{F}_2 + u \mathbb{F}_2\) lifts, extensions and neighbours

DOI10.1504/IJICOT.2020.110703zbMath1485.94155OpenAlexW3097352577MaRDI QIDQ2024757

Abidin Kaya, Adrian Korban, Steven T. Dougherty, Joe Gildea

Publication date: 4 May 2021

Published in: International Journal of Information and Coding Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijicot.2020.110703

zbMATH Keywords

group ringsself-dual codescodes over rings

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings (16S34)

Related Items (5)

New type I binary \([72, 36, 12\) self-dual codes from composite matrices and \(R_1\) lifts] ⋮ Self-dual codes using bisymmetric matrices and group rings ⋮ Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes ⋮ Extending an established isomorphism between group rings and a subring of the n × n matrices ⋮ New binary self-dual codes of lengths 80, 84 and 96 from composite matrices

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