Two-point AG codes on the GK maximal curves
Algebraic Geometry
2015-07-24 v1 Information Theory
math.IT
Abstract
We determine de Weierstrass semigroup of a pair of certain rational points on the GK-curves. We use this semigroup to obtain two-point AG codes with better parameters than comparable one-point AG codes arising from these curves. These parameters are new records in the MinT's tables.
Cite
@article{arxiv.1507.06620,
title = {Two-point AG codes on the GK maximal curves},
author = {Alonso Sepúlveda and Guilherme Tizziotti},
journal= {arXiv preprint arXiv:1507.06620},
year = {2015}
}
Comments
13 pages, 1 figure