Nonexistence of near-extremal formally self-dual even codes of length divisible by 8

DOI10.1016/j.dam.2006.11.004zbMath1183.94056OpenAlexW2081849686MaRDI QIDQ881582

June Bok Lee, Sunghyu Han

Publication date: 30 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.dam.2006.11.004

zbMATH Keywords

formally self-dual codenear-extremal codeshadow transform

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (2)

Constructing formally self-dual codes over \(R_k\) ⋮ The nonexistence of near-extremal formally self-dual codes

Cites Work

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• Classification of extremal double circulant formally self-dual even codes
• On the nonexistence of extremal self-dual codes
• Near-extremal formally self-dual even codes of lengths 24 and 32
• The existence of a formally self-dual even [70, 35,14 code]
• A new upper bound on the minimal distance of self-dual codes
• NONEXISTENCE OF SOME EXTREMAL SELF-DUAL CODES
• The linear programming bound for binary linear codes
• Shadow bounds for self-dual codes
• An upper bound for self-dual codes
• On the classification and enumeration of self-dual codes

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