Intersections between the norm-trace curve and some low degree curves
Combinatorics
2020-03-09 v2 Information Theory
Algebraic Geometry
math.IT
Abstract
In this paper we analyze the intersection between the norm-trace curve over and the curves of the form , giving a complete characterization of the intersection between the curve and the parabolas, as well as sharp bounds for the other cases. This information is used for the determination of the weight distribution of some one-point AG codes constructed on the curve.
Cite
@article{arxiv.1812.08590,
title = {Intersections between the norm-trace curve and some low degree curves},
author = {Matteo Bonini and Massimiliano Sala},
journal= {arXiv preprint arXiv:1812.08590},
year = {2020}
}