There is exactly one \(\mathbb {Z}_2 \mathbb {Z}_4\)-cyclic 1-perfect code

DOI10.1007/s10623-016-0323-3zbMath1417.94121arXiv1510.06166OpenAlexW2564172774MaRDI QIDQ1675291

Joaquim Borges, Cristina Fernández-Córdoba

Publication date: 27 October 2017

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

Full work available at URL: https://arxiv.org/abs/1510.06166

zbMATH Keywords

perfect codessimplex codes\(\mathbb {Z}_2 \mathbb {Z}_4\)-additive cyclic codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other types of codes (94B60) Cyclic codes (94B15) Combinatorial codes (94B25)

Related Items (2)

Unnamed Item ⋮ Additive perfect codes in Doob graphs

Cites Work

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• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -Additive Cyclic Codes, Generator Polynomials, and Dual Codes
• $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
• The rank and kernel of extended 1-perfect Z/sub 4/-linear and additive non- Z/sub 4/-linear codes
• Translation-invariant propelinear codes
• Association schemes and coding theory
• A characterization of 1-perfect additive codes
• Two-Dimensional Information Theory and Coding

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