FNT-based Reed-Solomon Erasure Codes
Information Theory
2009-07-13 v1 math.IT
Abstract
This paper presents a new construction of Maximum-Distance Separable (MDS) Reed-Solomon erasure codes based on Fermat Number Transform (FNT). Thanks to FNT, these codes support practical coding and decoding algorithms with complexity O(n log n), where n is the number of symbols of a codeword. An open-source implementation shows that the encoding speed can reach 150Mbps for codes of length up to several 10,000s of symbols. These codes can be used as the basic component of the Information Dispersal Algorithm (IDA) system used in a several P2P systems.
Cite
@article{arxiv.0907.1788,
title = {FNT-based Reed-Solomon Erasure Codes},
author = {Alexandre Soro and Jerome Lacan},
journal= {arXiv preprint arXiv:0907.1788},
year = {2009}
}
Comments
submitted in CCNC'10