On the Hamming weight enumerators of self-dual codes over \(\mathbb{Z}_k\)

DOI10.1006/FFTA.1998.0233zbMath0934.94019OpenAlexW1981727981MaRDI QIDQ1284209

Manabu Oura, Masaaki Harada

Publication date: 27 April 2000

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1998.0233

zbMATH Keywords

rings of invariantsfinite fieldself-dual codesweight enumerators

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Cites Work

• Unnamed Item
• Über die Identität von MacWilliams für die Gewichtsfunktion von Codes
• Self-dual codes over the integers modulo 4
• Type II self-dual codes over finite rings and even unimodular lattices
• Double circulant self-dual codes over Z/sub 2k/
• Type II codes, even unimodular lattices, and invariant rings
• On the uniqueness of the Golay codes
• Generalizations of Gleason's theorem on weight enumerators of self-dual codes
• Algorithms in invariant theory

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