Splitting the shadow.

DOI10.1016/S0012-365X(02)00865-8zbMath1043.11058OpenAlexW2146528559MaRDI QIDQ1406547

Patrick Solé, Steven T. Dougherty, Alexis Bonnecaze, Young Ju Choie

Publication date: 4 September 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(02)00865-8

zbMATH Keywords

Jacobi formsself-dual codesshadowsunimodular lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Jacobi forms (11F50) Relations with coding theory (11H71) Geometry of numbers (11H99)

Cites Work

• The theory of Jacobi forms
• Cyclic self-dual \(\mathbb Z_4\)-codes.
• A note on optimal unimodular lattices
• The shadow theory of modular and unimodular lattices
• Shadow lattices and shadow codes
• 3-colored 5-designs and \(\mathbb{Z}_4\)-codes
• A new upper bound on the minimal distance of self-dual codes
• A new upper bound for the minimum of an integral lattice of determinant 1
• The complete weight enumerator of Type II codes over Z/sub 2m/ and Jacobi forms
• Complete joint weight enumerators and self-dual codes
• Type II codes, even unimodular lattices, and invariant rings

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