On extremal additive \({\mathbb{F}}_4\) codes of length 10 to 18

DOI10.5802/jtnb.278zbMath1007.94027OpenAlexW2491500707MaRDI QIDQ5939708

Philippe Gaborit, Christine Bachoc

Publication date: 30 July 2001

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2000__12_2_255_0

zbMATH Keywords

self-dual codeadditive codeextremal code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65) Other types of codes (94B60)

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On the classification of all self-dual additive codes over \(\text{GF}(4)\) of length up to 12 ⋮ A projection decoding of a binary extremal self-dual code of length 40

Uses Software

• Magma

Cites Work

• Self-dual codes over GF(4)
• Self-dual codes over the Kleinian four group
• On the classification of extremal even formally self-dual codes
• Modular lattices in Euclidean spaces
• On extremal self-dual quaternary codes of lengths 18 to 28. I
• Quantum error correction via codes over GF(4)
• Finite subgroups of GL_n(Q) for 25 ≤ n ≤ 31
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