Codes over \(\mathbb F_4\), Jacobi forms and Hilbert-Siegel modular forms over \(\mathbb Q(\sqrt 5)\)

DOI10.1016/j.ejc.2004.04.010zbMath1116.94015OpenAlexW1981066871MaRDI QIDQ1775029

Koichi Betsumiya, Young Ju Choie

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.2004.04.010

zbMATH Keywords

finite fieldlinear codeweight enumeratorJacobi form

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Jacobi forms (11F50) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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Self-dual codes over \({\mathbb{F}}_2[u/\langle u^4 \rangle\) and Jacobi forms over a totally real subfield of \({\mathbb{Q}}(\zeta_8)\)] ⋮ 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 \(\mathbb{F}_{p^2}\) ⋮ Jacobi forms over totally real fields and type II codes over Galois rings \(\operatorname{GR}(2^{m},f)\). ⋮ Complete weight enumerators of generalized doubly-even self-dual codes ⋮ Theta series and weight enumerator over an imaginary quadratic field

Cites Work

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• Jacobi forms over totally real number fields