The Error Probability of Generalized Perfect Codes

Vazquez Vilar, Gonzalo; Guillén I Fàbregas, Albert; Verdú, Sergio

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The Error Probability of Generalized Perfect Codes

Author(s): Vazquez Vilar, Gonzalo; Guillén I Fàbregas, Albert; Verdú, Sergio

Publisher: IEEE

Issued date: 2018-08-16

Citation: Vazquez- Vilar, G., Guillén i Fàbregas, A. y Verdú, S. (2018). The Error Probability of Generalized Perfect Codes. In 2018 IEEE International Symposium on Information Theory (ISIT).

ISBN: 978-1-5386-4781-3

DOI: https://doi.org/10.1109/ISIT.2018.8437752

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: European Commission
Ministerio de Economía y Competitividad (España)

Sponsor: This work has been funded in part by the European Research Council (ERC) under grants 714161 and 725411, by the Spanish Ministry of Economy and Competitiveness under Grants TEC2016-78434-C3 and IJCI-2015-27020, by the National Science Foundation under Grant CCF-1513915 and by the Center for Science of Information, an NSF Science and Technology Center under Grant CCF-0939370.

Project: info:eu-repo/grantAgreement/ERC/H2020/714161
info:eu-repo/grantAgreement/ERC/H2020/725411
Gobierno de España. TEC2016-78434-C3
Gobierno de España. IJCI-2015-27020

URI: http://hdl.handle.net/10016/28844

Abstract:

We introduce a definition of perfect and quasi-perfect codes for symmetric channels parametrized by an auxiliary output distribution. This new definition generalizes previous definitions and encompasses maximum distance separable codes. The error probability o [+]