Codes over rings, complex lattices and Hermitian modular forms

DOI10.1016/j.ejc.2004.04.002zbMath1070.94024OpenAlexW1987911219MaRDI QIDQ1765600

Young Ju Choie, Steven T. Dougherty

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.04.002

zbMATH Keywords

weight enumeratorself-dual codesshadowsHermitian modular formsunimodular lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Jacobi forms (11F50) Geometry of numbers (11H99)

Related Items (7)

Self-dual codes over \({\mathbb{F}}_2[u/\langle u^4 \rangle\) and Jacobi forms over a totally real subfield of \({\mathbb{Q}}(\zeta_8)\)] ⋮ Unnamed Item ⋮ Binary self-dual codes and Jacobi forms over a totally real subfield of \(\mathbb{Q}(\zeta_8)\) ⋮ Self-dual codes over the ring GR(pm,g) and Jacobi forms ⋮ Hilbert modular forms and codes over \(\mathbb{F}_{p^2}\) ⋮ Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes ⋮ Theta series and weight enumerator over an imaginary quadratic field

Cites Work

• Unnamed Item
• Unnamed Item
• Modular forms on half-spaces of quaternions
• Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms
• Shadow lattices and shadow codes
• Hermitian Jacobi forms
• Duality for modules over finite rings and applications to coding theory
• The complete weight enumerator of Type II codes over Z/sub 2m/ and Jacobi forms
• Type II codes over F/sub 2/+uF/sub 2/

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