A refinement of expurgation

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dc.contributor.authorCocco, Giuseppe
dc.contributor.authorGuillén i Fábregas, A. (Albert)
dc.contributor.authorFont-Segura, Josep
dc.date.accessioned2025-06-04T09:10:00Z
dc.date.available2025-06-04T09:10:00Z
dc.date.issued2024
dc.description.abstractWe show that for a wide range of channels and code ensembles with pairwise-independent codewords, with probability tending to 1 with the code length, expurgating an arbitrarily small fraction of codewords from a randomly selected code results in a code attaining the expurgated exponent.
dc.description.sponsorshipThis work was supported in part by the Ramón y Cajal Fellowship Program funded by Spanish Government through the Ministerio de Ciencia, Innovación y Universidades (MCIN)/Agencia Estatal de Investigación (AEI)/10.13039/501100011033 and European Union “NextGenerationEU” Recovery Plan under Grant RYC2021-033908-I, in part by European Research Council under ERC Grant Agreement 725441 and Agreement 101142747, and in part by Spanish Ministry of Economy and Competitiveness under Grant PID2020-116683GB-C22.
dc.format.mimetypeapplication/pdf
dc.identifier.citationCocco G, Guillén i Fàbregas A, Font-Segura J. A refinement of expurgation. IEEE Trans Inf Theory. 2024 Dec;70(12):8419-22. DOI: 10.1109/TIT.2024.3388563
dc.identifier.doihttp://dx.doi.org/10.1109/TIT.2024.3388563
dc.identifier.issn0018-9448
dc.identifier.urihttp://hdl.handle.net/10230/70609
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.ispartofIEEE Transactions on Information Theory. 2024 Dec;70(12):8419-22
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/HE/101142747
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/2PE/PID2020-116683GB-C22
dc.rights© 2024 The Authors. This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see https://creativecommons.org/licenses/by/4.0/.
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.keywordReliable communications
dc.subject.keywordError exponents
dc.subject.keywordExpurgated error exponent
dc.subject.keywordRandom code ensembles
dc.subject.keywordRandom coding
dc.titleA refinement of expurgation
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion

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