Isodual codes over \(\mathbb{Z}_{2k}\) and isodual lattices

DOI10.1023/A:1011259823212zbMath0963.94040OpenAlexW205931036MaRDI QIDQ1840656

Masaaki Harada, Christine Bachoc, T. Aaron Gulliver

Publication date: 11 February 2001

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

Full work available at URL: https://doi.org/10.1023/a:1011259823212

zbMATH Keywords

automorphism groupdouble circulant codesisodual codesisodual lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Lattices and convex bodies (number-theoretic aspects) (11H06) Relations with coding theory (11H71) Automorphism groups of lattices (11H56)

Related Items (7)

Construction of isodual codes over \(\mathrm{GF}(q)\) ⋮ Repeated-Root Isodual Cyclic Codes over Finite Fields ⋮ Some new constructions of isodual and LCD codes over finite fields ⋮ Construction of isodual codes from polycirculant matrices ⋮ On Isodual Cyclic Codes over Finite Chain Rings ⋮ Classification of ternary extremal self-dual codes of length 28 ⋮ A class of constacyclic codes containing formally self-dual and isodual codes

Cites Work

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• Extremal double circulant type II codes over \(\mathbb Z_4\) and construction of 5-(24,10,36) designs.
• On designs and formally self-dual codes
• On lattices equivalent to their duals
• Modular lattices in Euclidean spaces
• A new upper bound on the minimal distance of self-dual codes
• Double circulant self-dual codes over Z/sub 2k/
• Quaternary quadratic residue codes and unimodular lattices

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