On \(\mathbb {Z}_{2^s}\)-linear Hadamard codes: kernel and partial classification

DOI10.1007/s10623-018-0546-6zbMath1419.94083OpenAlexW2892003982MaRDI QIDQ1727358

Carlos Vela, Mercè Villanueva, Cristina Fernández-Córdoba

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1007/s10623-018-0546-6

zbMATH Keywords

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

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other types of codes (94B60) Combinatorial codes (94B25)

Related Items (8)

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 ⋮ The linearity of Carlet's Gray image of linear codes over \(\mathbb{Z}_8\) ⋮ Linearity and classification of \(\mathbb{Z}_p \mathbb{Z}_{p^2} \)-linear generalized Hadamard codes ⋮ On one construction method for Hadamard matrices ⋮ Partial permutation decoding and PD-sets for \(\mathbb{Z}_{p^s}\)-linear generalized Hadamard codes ⋮ Butson full propelinear codes ⋮ Equivalences among \(\mathbb{Z}_{2^s} \)-linear Hadamard codes

Uses Software

• Magma

Cites Work

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