The covering problem for finite rings with respect to the RT-metric

DOI10.1016/j.aml.2010.04.023zbMath1193.94078OpenAlexW2000719185WikidataQ58473784 ScholiaQ58473784MaRDI QIDQ988707

Gursel Yesilot, Tevfik Bilgin, Bahattin Yildiz, Siap, Irfan

Publication date: 18 August 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.04.023

zbMATH Keywords

covering\(R\)-balls0-short coveringRT-metricshort covering

Mathematics Subject Classification ID

Miscellaneous applications of number theory (11Z05) Theory of error-correcting codes and error-detecting codes (94B99) Relations with coding theory (11H71) Commutative ring extensions and related topics (13B99) Group actions on combinatorial structures (05E18)

Related Items (6)

The covering problem in Rosenbloom-Tsfasman spaces ⋮ Ordered covering arrays and upper bounds on covering codes ⋮ On normal \(q\)-ary codes in Rosenbloom-Tsfasman metric ⋮ Sharp covering of a module by cyclic submodules ⋮ Cyclic covering of a module over an Artinian ring ⋮ Partial sums of binomials, intersecting numbers, and the excess bound in Rosenbloom-Tsfasman space

Cites Work

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• Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric
• A covering problem over finite rings
• Codes for the \(m\)-metric
• The complete weight enumerator for codes over \(\mathcal M_{n\times s}(R)\)
• Linear codes over finite chain rings
• Linear codes over \({\mathbb F}_{q}[u/(u^s)\) with respect to the Rosenbloom-Tsfasman metric]

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