Optimal subcodes of formally self-dual codes and their optimum distance profiles

DOI10.1007/S00200-013-0195-YzbMath1283.94111OpenAlexW2145511596MaRDI QIDQ371244

Jon-Lark Kim, Finley Freibert

Publication date: 30 September 2013

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-013-0195-y

zbMATH Keywords

optimal codesformally self-dual codesoptimum distance profilessubcodes

Mathematics Subject Classification ID

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

Related Items (1)

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Uses Software

• Magma

Cites Work

• The \([18,9,6\) code is unique]
• Optimal binary linear codes of length \(\leq 30\)
• Binary optimal linear rate 1/2 codes
• Optimal subcodes and optimum distance profiles of self-dual codes
• Fundamentals of Error-Correcting Codes
• A Lower Bound on the Optimum Distance Profiles of the Second-Order Reed–Muller Codes
• On the Optimum Distance Profiles About Linear Block Codes
• Optimal subcodes of second order Reed-Muller codes and maximal linear spaces of bivectors of maximal rank
• On the classification of extremal even formally self-dual codes of lengths 20 and 22
• Binary optimal odd formally self-dual codes.
• Classification of formally self-dual even codes of lengths up to 16

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