The algebraic decoding of the Z/sub 4/-linear Goethals code

DOI10.1109/18.476333zbMath0857.94021OpenAlexW2113910036MaRDI QIDQ4880333

Tor Helleseth, P. Vijay Kumar

Publication date: 13 August 1996

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

Full work available at URL: https://doi.org/10.1109/18.476333

zbMATH Keywords

Galois ringdecoding algorithmLee weightquaternary Goethals codebinary Preparata codessyndrom values

Mathematics Subject Classification ID

Decoding (94B35)

Related Items (7)

On the lifted Melas code ⋮ On the lifted Zetterberg code ⋮ An analogue of the \(\mathbb Z_4\)-Goethals code in non-primitive length ⋮ Weight distribution of preparata codes over \(Z_4\) and the construction of 3-designs ⋮ Association schemes related to Delsarte-Goethals codes ⋮ 3-designs from all \(\mathbb Z_{4}\)-Goethals-like codes with block size 7 and 8 ⋮ New infinite families of 3-designs from Preparata codes over \(\mathbb{Z}_4\)

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