Variants of Jacobi polynomials in coding theory

DOI10.1007/s10623-021-00923-2zbMath1506.94090arXiv2102.06369OpenAlexW3197812658MaRDI QIDQ2109384

H. S. Chakraborty, Tsuyoshi Miezaki

Publication date: 21 December 2022

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

Full work available at URL: https://arxiv.org/abs/2102.06369

zbMATH Keywords

Jacobi polynomialsweight enumeratorscodes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Jacobi polynomials and design theory. II ⋮ Jacobi polynomials and design theory I ⋮ Average of complete joint weight enumerators and self-dual codes

Cites Work

• The average of joint weight enumerators
• The average intersection number of a pair of self-dual codes
• Jacobi polynomials, type II codes, and designs.
• Average of complete joint weight enumerators and self-dual codes
• Weight enumerators, intersection enumerators, and Jacobi polynomials
• On the cycle index and the weight enumerator
• On the notion of Jacobi polynomials for codes
• Algebraic Coding Theory Over Finite Commutative Rings
• Generalizations of Gleason's theorem on weight enumerators of self-dual codes
• Note on the \(g\)-fold joint weight enumerators of self-dual codes over \({\mathbb Z}_k\)

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