On the rank of \(\mathbb{Z}_8\)-linear Hadamard codes

DOI10.1016/j.endm.2018.11.004zbMath1464.94068OpenAlexW2903702749MaRDI QIDQ1739919

Mercè Villanueva, Carlos Vela, Cristina Fernández-Córdoba

Publication date: 29 April 2019

Full work available at URL: https://doi.org/10.1016/j.endm.2018.11.004

zbMATH Keywords

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

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (1)

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

Cites Work

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• Construction and classification of \(\mathbb{Z}_{2^s}\)-linear Hadamard codes
• Algebraic techniques for nonlinear codes
• Codes over \(\mathbb{Z}_{2^k}\), Gray map and self-dual codes
• On the additive (/spl Zopf//sub 4/-linear and non-/spl Zopf//sub 4/-linear) Hadamard codes: rank and kernel
• On $Z_{2^k}$-Dual Binary Codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Z/sub 2/k-linear codes

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