Type II codes over \(\mathbb Z/2k\mathbb Z\), invariant rings and theta series

DOI10.1007/s10623-004-1701-9zbMath1082.94015OpenAlexW2043252543MaRDI QIDQ2487213

Francesco Ludovico Chiera

Publication date: 18 August 2005

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-004-1701-9

zbMATH Keywords

theta seriescodes over finite ringsinvariant ringsweight enumerator polynomials

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

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• Singular modular forms and theta relations
• Theta functions and Siegel-Jacobi forms
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Codes and Siegel modular forms
• Complete weight enumerators of generalized doubly-even self-dual codes
• Thetanullwerte and Stable Modular Forms II
• Invariants of finite groups and their applications to combinatorics
• Codes and invariant theory
• Type II codes, even unimodular lattices, and invariant rings
• The invariants of the Clifford groups

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