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.
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Nielsen, J.S.R. (2015). Power Decoding of Reed–Solomon Codes Revisited. In: Pinto, R., Rocha Malonek, P., Vettori, P. (eds) Coding Theory and Applications. CIM Series in Mathematical Sciences, vol 3. Springer, Cham. https://doi.org/10.1007/978-3-319-17296-5_32
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DOI: https://doi.org/10.1007/978-3-319-17296-5_32
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17295-8
Online ISBN: 978-3-319-17296-5
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