The binary extremal self-dual codes of lengths 38 and 40

DOI10.1007/s10623-011-9534-9zbMath1238.94036OpenAlexW2047560238MaRDI QIDQ664396

Hyun Jin Kim

Publication date: 1 March 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-011-9534-9

zbMATH Keywords

automorphismsweight enumeratorself-dual codesextremal codesself-orthogonal codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Related Items (3)

Construction of isodual codes over \(\mathrm{GF}(q)\) ⋮ On the existence of certain optimal self-dual codes with lengths between 74 and 116 ⋮ Classification of self-dual codes of length 50 with an automorphism of odd prime order

Uses Software

• Q-extension

Cites Work

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• New extremal self-dual codes of lengths 42 and 44
• Shadow bounds for self-dual codes
• The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code
• On the classification and enumeration of self-dual codes
• On the classification and enumeration of self-dual codes

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