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

Authors :
Lobillo, F. J.
Navarro, Gabriel
Gómez-Torrecillas, José
Publication Year :
2012

Abstract

In this paper, a refinement of the weight distribution in an MDS code is computed. Concretely, the number of codewords with a fixed amount of nonzero bits in both information and redundancy parts is obtained. This refinement improves the theoretical approximation of the information-bit and -symbol 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, the computation of the here-called false positive (a decoding failure with no information-symbol error) is provided. As a consequence, a new performance analysis of an MDS code is proposed.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1207.2734
Document Type :
Working Paper
Full Text :
https://doi.org/10.3934/amc.2015.9.149