Self-dual codes over the ring GR(pm,g) and Jacobi forms

DOI10.1142/S1793557117500553zbMath1417.94099OpenAlexW2555001800MaRDI QIDQ5370761

Ankur

Publication date: 20 October 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557117500553

zbMATH Keywords

Jacobi formslatticesself-dual codesGalois ring

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Jacobi forms (11F50)

Related Items (2)

Binary self-dual codes and Jacobi forms over a totally real subfield of \(\mathbb{Q}(\zeta_8)\) ⋮ Theta series and weight enumerator over an imaginary quadratic field

Cites Work

• Codes over rings, complex lattices and Hermitian modular forms
• Codes over \(\mathbb F_4\), Jacobi forms and Hilbert-Siegel modular forms over \(\mathbb Q(\sqrt 5)\)
• Jacobi forms over totally real fields and type II codes over Galois rings \(\operatorname{GR}(2^{m},f)\).
• Type II codes, even unimodular lattices, and invariant rings
• The invariants of the Clifford groups
• Codes over \(\mathbb{Z}_{2m}\) and Jacobi forms of genus \(n\)

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