Equivalences among \(\mathbb{Z}_{2^s} \)-linear Hadamard codes

DOI10.1016/j.disc.2019.111721zbMath1434.94083OpenAlexW2991239327MaRDI QIDQ2286582

Carlos Vela, Mercè Villanueva, Cristina Fernández-Córdoba

Publication date: 22 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.disc.2019.111721

zbMATH Keywords

classificationrankkernelGray mapHadamard code\(\mathbb{Z}_{2^s}\)-additive code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (4)

On the linearity and classification of \(\mathbb{Z}_{p^s} \)-linear generalized Hadamard codes ⋮ On the constructions of \(\mathbb{Z}_p \mathbb{Z}_{p^2}\)-linear generalized Hadamard codes ⋮ Linearity and classification of \(\mathbb{Z}_p \mathbb{Z}_{p^2} \)-linear generalized Hadamard codes ⋮ On one construction method for Hadamard matrices

Uses Software

• Magma
• Q-ary codes

Cites Work

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• Translation-invariant propelinear codes
• Z/sub 2/k-linear codes
• On $Z_p Z_{p^k}$ -Additive Codes and Their Duality

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