Periodical burst error correcting codes with decoding error probability

Pankaj Kumar Das; Letminthang Haokip

doi:10.47443/dml.2021.0077

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Periodical burst error correcting codes with decoding error probability

Author(s)

Pankaj Kumar Das Department of Mathematical Sciences, Tezpur University,Napaam, Sonitpur, Assam-784028,India

Letminthang Haokip Department of Mathematical Sciences, Tezpur University,Napaam, Sonitpur, Assam-784028,India

Abstract

In this paper, we derive necessary and sufficient conditions for the existence of periodical burst error correcting linear codes. We also give the weight distribution of periodical burst errors and a bound on the largest attainable minimum weight by such a vector in the space of n-tuples. Furthermore, we provide probability of decoding error of a periodical burst error correcting code. .

Publication Details

Page(s) 49-56

DOI 10.47443/dml.2021.0077

Published Journal: Discrete Mathematics Letters, Volume: 8, Issue: 0, Year: 2022

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Keywords

Syndrome, decoding probability, periodical burst error, weight distribution