On the asymptotic accuracy of the union bound

dc.creatorBarg, Alexander
dc.date2004-12-24
dc.date2005-04-25
dc.date.accessioned2026-07-07T08:15:17Z
dc.date.available2026-07-07T08:15:17Z
dc.descriptionA new lower bound on the error probability of maximum likelihood decoding of a binary code on a binary symmetric channel was proved in Barg and McGregor (2004, cs.IT/0407011). It was observed in that paper that this bound leads to a new region of code rates in which the random coding exponent is asymptotically tight, giving a new region in which the reliability of the BSC is known exactly. The present paper explains the relation of these results to the union bound on the error probability.
dc.description10 pages, 3 figures. Presented at the 42nd Annual Allerton Conference on Communication, Control and Computing (Sept. 29 - Oct. 1, 2004). The paper will appear in the conference proceedings. Version 2 differs slightly from the published version and is the latest version of this paper
dc.identifierhttps://arxiv.org/abs/cs/0412111
dc.identifierhttp://arxiv.org/abs/cs/0412111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133400
dc.subjectInformation Theory
dc.titleOn the asymptotic accuracy of the union bound
dc.typetext

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