On some self-dual codes and unimodular lattices in dimension 48

DOI10.1016/j.ejc.2004.06.013zbMath1071.94022OpenAlexW1965294060MaRDI QIDQ1775022

Masaaki Kitazume, Akihiro Munemasa, Masaaki Harada, Boris B. Venkov

Publication date: 4 May 2005

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.06.013

zbMATH Keywords

self-dual codesunimodular lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Relations with coding theory (11H71)

Related Items (11)

An explicit expression for Euclidean self-dual cyclic codes of length \(2^k\) over Galois ring \(\mathrm{GR}(4,m)\) ⋮ Self-dual cyclic codes over \(\mathbb{Z}_4\) of length \(4n\) ⋮ The codes and the lattices of Hadamard matrices ⋮ Optimal self-dual \(\mathbb Z_4\)-codes and a unimodular lattice in dimension 41 ⋮ On the residue codes of extremal Type II \(\mathbb Z_4\)-codes of lengths 32 and 40 ⋮ Extremal type II \(\mathbb Z_4\)-codes of lengths 56 and 64 ⋮ An optimal odd unimodular lattice in dimension 72 ⋮ Classification of binary self-dual \([48,24,10\) codes with an automorphism of odd prime order] ⋮ On the self‐dual 𝔽₅‐codes constructed from Hadamard matrices of order 24 ⋮ On the construction of self-dual cyclic codes over \(\mathbb{Z}_4\) with arbitrary even length ⋮ On the existence of s-extremal singly even self-dual codes

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• Self-Dual Codes over ${\text{GF}}( 3 )$
• Type II codes over Z/sub 4/
• Shadow bounds for self-dual codes
• The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code
• An upper bound for self-dual codes

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