Weight enumerators, intersection enumerators and Jacobi polynomials. II

DOI10.1016/j.disc.2022.113098zbMath1503.94056arXiv2111.10162OpenAlexW4226485619MaRDI QIDQ2675854

Manabu Oura, H. S. Chakraborty, Tsuyoshi Miezaki

Publication date: 26 September 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10162

zbMATH Keywords

weight enumeratorcodeJacobi polynomialintersection enumerator

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)

Related Items (2)

Jacobi polynomials and design theory. II ⋮ Jacobi polynomials and design theory I

Cites Work

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• Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices
• The theory of Jacobi forms
• Jacobi polynomials, type II codes, and designs.
• Codes and Siegel modular forms
• Construction of Jacobi forms from certain combinatorial polynomials
• Weight enumerators, intersection enumerators, and Jacobi polynomials
• Self-dual codes and invariant theory
• Jacobi polynomials and design theory I
• On the notion of Jacobi polynomials for codes
• Fundamentals of Error-Correcting Codes
• Type II codes, even unimodular lattices, and invariant rings
• Gleason's theorem on self-dual codes
• Generalizations of Gleason's theorem on weight enumerators of self-dual codes
• Polynômes des poids de certains codes et fonctions thêta de certains réseaux
• Note on the \(g\)-fold joint weight enumerators of self-dual codes over \({\mathbb Z}_k\)

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