Complete arcs arising from a generalization of the Hermitian curve

Herivelto Borges, Beatriz Motta, and Fernando Torres. "Complete arcs arising from a generalization of the Hermitian curve." Acta Arithmetica 164.2 (2014): 101-118. <http://eudml.org/doc/279796>.

@article{HeriveltoBorges2014,
abstract = {We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves, which is calculated by using exponential sums via Coulter's approach. We also single out some examples of maximal curves.},
author = {Herivelto Borges, Beatriz Motta, Fernando Torres},
journal = {Acta Arithmetica},
keywords = {finite field; plane arc; Hermitian curve; Artin-Schreier curve},
language = {eng},
number = {2},
pages = {101-118},
title = {Complete arcs arising from a generalization of the Hermitian curve},
url = {http://eudml.org/doc/279796},
volume = {164},
year = {2014},
}

TY - JOUR
AU - Herivelto Borges
AU - Beatriz Motta
AU - Fernando Torres
TI - Complete arcs arising from a generalization of the Hermitian curve
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 2
SP - 101
EP - 118
AB - We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves, which is calculated by using exponential sums via Coulter's approach. We also single out some examples of maximal curves.
LA - eng
KW - finite field; plane arc; Hermitian curve; Artin-Schreier curve
UR - http://eudml.org/doc/279796
ER -