Decoding Algebraic Geometry codes by a key equation
代数几何
2025-10-20 v1 信息论
数值分析
math.IT
数值分析
摘要
A new effective decoding algorithm is presented for arbitrary algebraic-geometric codes on the basis of solving a generalized key equation with the majority coset scheme of Duursma. It is an improvement of Ehrhard's algorithm, since the method corrects up to the half of the Goppa distance with complexity order O(n**2.81), and with no further assumption on the degree of the divisor G.
引用
@article{arxiv.math/9910151,
title = {Decoding Algebraic Geometry codes by a key equation},
author = {J. I. Farran},
journal= {arXiv preprint arXiv:math/9910151},
year = {2025}
}
备注
11 pages, submitted to "Finite Fields and their Applications"