Decoding method for generalized algebraic geometry codes
Number Theory
2007-07-16 v1 Information Theory
Algebraic Geometry
math.IT
Abstract
We propose a decoding method for the generalized algebraic geometry codes proposed by Xing et al. To show its practical usefulness, we give an example of generalized algebraic geometry codes of length 567 over F_8 whose numbers of correctable errors by the proposed method are larger than the shortened codes of the primitive BCH codes of length 4095 in the most range of dimension.
Keywords
Cite
@article{arxiv.math/0104222,
title = {Decoding method for generalized algebraic geometry codes},
author = {Ryutaroh Matsumoto and Masakuni Oishi},
journal= {arXiv preprint arXiv:math/0104222},
year = {2007}
}
Comments
LaTeX2e, 8 pages, 1 figure