Ternary code construction of unimodular lattices and self-dual codes over \(\mathbb Z_6\)

DOI10.1023/A:1021185314365zbMath1027.94022OpenAlexW1578009621MaRDI QIDQ1862998

Masaaki Harada, Masaaki Kitazume, Michio Ozeki

Publication date: 11 March 2003

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

Full work available at URL: https://doi.org/10.1023/a:1021185314365

zbMATH Keywords

ternary codesextremal self-dual codesshadowsextremal unimodular lattices

Mathematics Subject Classification ID

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

Related Items (11)

Extremal ternary self-dual codes constructed from negacirculant matrices ⋮ An upper bound on the minimum weight of type II \(\mathbb Z_{2k}\)-codes ⋮ An even extremal lattice of rank 64 ⋮ A note on Quebbemann's extremal lattices of rank 64 ⋮ Another 80-dimensional extremal lattice ⋮ On the existence of extremal Type II ℤ_{2𝕜}-codes ⋮ On some self-dual codes and unimodular lattices in dimension 48 ⋮ Extremal unimodular lattices in dimension 36 ⋮ Classification of ternary extremal self-dual codes of length 28 ⋮ A complete classification of ternary self-dual codes of length 24 ⋮ Construction of new extremal unimodular lattices

Cites Work

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• A note on optimal unimodular lattices
• The shadow theory of modular and unimodular lattices
• Self-dual codes over rings and the Chinese remainder theorem
• A new construction of lattices from codes over GF(3)
• On the existence of extremal Type II codes over \(\mathbb{Z}_6\)
• Self-Dual Codes over ${\text{GF}}( 3 )$
• Type II codes, even unimodular lattices, and invariant rings

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