Jacobi polynomials and design theory I

DOI10.1016/j.disc.2023.113339OpenAlexW4319342206MaRDI QIDQ2699910

Tsuyoshi Miezaki, Yuuho Tanaka, Manabu Oura, H. S. Chakraborty

Publication date: 20 April 2023

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

Full work available at URL: https://arxiv.org/abs/2207.10911

zbMATH Keywords

Jacobi polynomialsdesignsinvariant theorycodes

Mathematics Subject Classification ID

Theory of error-correcting codes and error-detecting codes (94Bxx) Discontinuous groups and automorphic forms (11Fxx) Designs and configurations (05Bxx)

Related Items (2)

Weight enumerators, intersection enumerators and Jacobi polynomials. II ⋮ Jacobi polynomials and design theory. II

Uses Software

• Magma

Cites Work

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• Codes and Siegel modular forms
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• Variants of Jacobi polynomials in coding theory
• Weight enumerators, intersection enumerators, and Jacobi polynomials
• Self-dual codes and invariant theory
• Weight enumerators, intersection enumerators and Jacobi polynomials. II
• Invariants of finite groups and their applications to combinatorics
• Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique
• On the notion of Jacobi polynomials for codes
• Fundamentals of Error-Correcting Codes
• New 5-designs
• Gleason's theorem on self-dual codes
• Generalizations of Gleason's theorem on weight enumerators of self-dual codes
• Hahn Polynomials, Discrete Harmonics, andt-Designs

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