Information--bit error rate and false positives in an MDS code

José Gómez-Torrecillas; F. J.  Lobillo; Gabriel  Navarro

doi:10.3934/amc.2015.9.149

Article Contents

2015, Volume 9, Issue 2: 149-168. Doi: 10.3934/amc.2015.9.149

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Information--bit error rate and false positives in an MDS code

1.
Department of Algebra and CITIC-UGR, University of Granada, E18071 Granada
2.
Department of Computer Sciences and AI, and CITIC-UGR, University of Granada, E18071 Granada

Received: June 30, 2013

Published: April 2015

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Abstract

In this paper, a computation of the input-redundancy weight enumerator is presented. This is used to improve the theoretical approximation of the information--bit error rate, in terms of the channel bit--error rate, in a block transmission through a discrete memoryless channel. Since a bounded distance reproducing encoder is assumed, we introduce the here-called false positive, a decoding failure with no information-symbol error, and we estimate the probability that this event occurs. As a consequence, a new performance analysis of an MDS code is proposed.

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Mathematics Subject Classification: Primary: 94B70, 94B05.

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