Failure of the MacWilliams identities for the Lee weight enumerator over \(\mathbb{Z}_m\), \(m\ge 5\)

DOI10.1016/j.disc.2020.112036zbMath1478.94148OpenAlexW3039321017MaRDI QIDQ2198377

Jay A. Wood, Noha Abdelghany

Publication date: 10 September 2020

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

Full work available at URL: https://doi.org/10.1016/j.disc.2020.112036

zbMATH Keywords

MacWilliams identitiesLee weight

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• MacWilliams type identities on the Lee and Euclidean weights for linear codes over \(\mathbb{Z}_\ell\)
• A metric for codes over residue class rings
• A note on a basic exact sequence for the Lee and Euclidean weights of linear codes over \(\mathbb{Z}_\ell\)
• Some Applications of the Fourier Transform in Algebraic Coding Theory
• Duality for modules over finite rings and applications to coding theory
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes

This page was built for publication: Failure of the MacWilliams identities for the Lee weight enumerator over \(\mathbb{Z}_m\), \(m\ge 5\)