Power Decoding of Reed-Solomon Codes Revisited
Information Theory
2014-05-22 v2 math.IT
Abstract
Power decoding, or "decoding by virtual interleaving", of Reed--Solomon codes is a method for unique decoding beyond half the minimum distance. We give a new variant of the Power decoding scheme, building upon the key equation of Gao. We show various interesting properties such as behavioural equivalence to the classical scheme using syndromes, as well as a new bound on the failure probability when the powering degree is 3.
Cite
@article{arxiv.1311.1940,
title = {Power Decoding of Reed-Solomon Codes Revisited},
author = {Johan S. R. Nielsen},
journal= {arXiv preprint arXiv:1311.1940},
year = {2014}
}
Comments
This is a major revision of the previous version: it contains a new bound on the failure probability, while some previous parts have been considerably shortened. Submitted to ICMCTA 2014