A Z/sub 8/-linear lift of the binary Golay code and a nonlinear binary (96,2/sup 37/,24)-code

DOI10.1109/18.923742zbMath1025.94023OpenAlexW2007864859MaRDI QIDQ4544595

Stefan E. Schmidt, Marcus Greferath, Simon N. Litsyn, Iwan M. Duursma

Publication date: 4 August 2002

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.923742

zbMATH Keywords

codes over ringshomogeneous weightbinary Golay codeHensel liftingGray isometry

Mathematics Subject Classification ID

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

Related Items (5)

The linear programming bound for codes over finite Frobenius rings ⋮ Isometric embeddings of \({\mathbb Z}_{p^k}\) in the Hamming space \({\mathbb F}_{p}^{N}\) and \({\mathbb Z}_{p^k}\)-linear codes ⋮ Partitions of Frobenius rings induced by the homogeneous weight ⋮ On bounds for codes over Frobenius rings under homogeneous weights ⋮ On coloured constant composition designs

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