On the Decoder Error Probability of Bounded Rank-Distance Decoders for Maximum Rank Distance Codes

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dc.creatorGadouleau, Maximilien
dc.creatorYan, Zhiyuan
dc.date2006-12-08
dc.date2008-03-03
dc.date.accessioned2026-07-07T09:24:06Z
dc.date.available2026-07-07T09:24:06Z
dc.descriptionIn this paper, we first introduce the concept of elementary linear subspace, which has similar properties to those of a set of coordinates. We then use elementary linear subspaces to derive properties of maximum rank distance (MRD) codes that parallel those of maximum distance separable codes. Using these properties, we show that, for MRD codes with error correction capability t, the decoder error probability of bounded rank distance decoders decreases exponentially with t^2 based on the assumption that all errors with the same rank are equally likely.
dc.description5 pages. To appear in IEEE Transactions on Information Theory
dc.identifierhttps://arxiv.org/abs/cs/0612051
dc.identifierhttp://arxiv.org/abs/cs/0612051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155977
dc.subjectInformation Theory
dc.titleOn the Decoder Error Probability of Bounded Rank-Distance Decoders for Maximum Rank Distance Codes
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