Construction of self-dual codes over \(\mathbb {Z}_{2^{m}}\)

DOI10.1007/S12095-015-0139-4zbMath1344.94099arXiv1407.4827OpenAlexW2472857247MaRDI QIDQ267801

Anuradha Sharma, Amit K. Sharma

Publication date: 11 April 2016

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4827

zbMATH Keywords

modular formsdoubly-even codessingly-even codes

Mathematics Subject Classification ID

Cyclic codes (94B15)

Cites Work

• The theory of Jacobi forms
• Type II self-dual codes over finite rings and even unimodular lattices
• Shadow lattices and shadow codes
• Shadow codes over \({\mathbb Z}_4\)
• A new upper bound on the minimal distance of self-dual codes
• Weight enumerators of self-dual codes
• Existence of some extremal self-dual codes
• The complete weight enumerator of Type II codes over Z/sub 2m/ and Jacobi forms
• Type II codes, even unimodular lattices, and invariant rings

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