Weight enumerators, intersection enumerators, and Jacobi polynomials

DOI10.1016/j.disc.2020.111815zbMath1475.94215OpenAlexW3004762499MaRDI QIDQ2174574

Yanyan Li

Publication date: 21 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.disc.2020.111815

zbMATH Keywords

weight enumeratorcodeJacobi polynomialintersection enumerator

Mathematics Subject Classification ID

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

Related Items (4)

Weight enumerators, intersection enumerators and Jacobi polynomials. II ⋮ Jacobi polynomials and design theory. II ⋮ Jacobi polynomials and design theory I ⋮ Variants of Jacobi polynomials in coding theory

Uses Software

• Magma

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 forms of higher degree
• Examples of even unimodular extremal lattices of rank 40 and their Siegel theta-series of degree 2
• The Magma algebra system. I: The user language
• Hadamard matrices and doubly even self-dual error-correcting codes
• Codes and Siegel modular forms
• Self-dual codes and invariant theory
• On the notion of Jacobi polynomials for codes
• Fundamentals of Error-Correcting Codes
• 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

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