Attaining Sudan's decoding radius with no genus penalty for algebraic geometry codes
Information Theory
2021-03-24 v2 Algebraic Geometry
math.IT
Abstract
In this paper we present a decoding algorithm for algebraic geometry codes with error-correcting capacity beyond half the designed distance of the code. This algorithm comes as a fusion of the Power Error Locating Pairs algorithm for algebraic geometry codes and the technique used by Ehrhard in order to correct these codes up to half the designed distance. The decoding radius of this algorithm reaches that of Sudan algorithm, without any penalty given by the genus of the curve.
Keywords
Cite
@article{arxiv.2103.11188,
title = {Attaining Sudan's decoding radius with no genus penalty for algebraic geometry codes},
author = {Isabella Panaccione},
journal= {arXiv preprint arXiv:2103.11188},
year = {2021}
}
Comments
Typo in the title corrected