Self-dual codes over $\mathbb {Z}_{4}$ and half-integral weight modular forms

DOI10.1090/S0002-9939-02-06648-0zbMath1020.11027OpenAlexW2041227576MaRDI QIDQ4539828

Patrick Solé, Young Ju Choie

Publication date: 11 July 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06648-0

zbMATH Keywords

Jacobi formstheta seriesself-dual codesalgebra of invariantstheta groupring of half-integral weight modular formssymmetric weight enumerators

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (2)

Rankin-Cohen brackets and invariant theory ⋮ Codes over \(\mathbb F_4\), Jacobi forms and Hilbert-Siegel modular forms over \(\mathbb Q(\sqrt 5)\)

Cites Work

• The theory of Jacobi forms
• Construction of Jacobi forms from certain combinatorial polynomials
• On Siegel modular forms. Part I.
• On the notion of Jacobi polynomials for codes
• The complete weight enumerator of Type II codes over Z/sub 2m/ and Jacobi forms
• Quaternary quadratic residue codes and unimodular lattices
• Polynômes des poids de certains codes et fonctions thêta de certains réseaux
• Codes over \(\mathbb{Z}_{2m}\) and Jacobi forms of genus \(n\)
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