Extended binary Golay codes by a group algebra

DOI10.12958/ADM2241MaRDI QIDQ6630963

Maria Bortos, Alexander Tylyshchak, Myroslava V. Khymynets

Publication date: 31 October 2024

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

zbMATH Keywords

group algebraself-dual codesGolay codescodes over fieldsextended binary codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

• Title not available (Why is that?)
• The extended Golay codes considered as ideals
• Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
• On Construction of the$(24, 12, 8)$Golay Codes
• A Group Ring Construction of the Extended Binary Golay Code
• Fundamentals of Error-Correcting Codes
• On the uniqueness of the Golay codes
• Extended binary Golay codes by a group algebra of dihedral group

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