Title :
Trinomial curves with many rational points
Author :
Beelan, P. ; Pellikaan, Ruud
Author_Institution :
Dept. of Math. & Comput. Sci., Tech. Univ. of Eindhoven, Netherlands
Abstract :
The authors discuss a method to get plane curves with many rational points and a construction to get asymptotically good codes and curves, that is closely related to finding bivariate polynomials representing designs. The number of rational points and the genus is computed for plane curves that have a defining equation with three monomials
Keywords :
algebraic geometric codes; polynomials; algebraic geometric codes; asymptotically good codes; bivariate polynomials; genus; monomials; plane curves; rational points; trinomial curves; Equations; H infinity control; Mathematics; Polynomials;
Conference_Titel :
Information Theory Workshop, 1998
Conference_Location :
Killarney
Print_ISBN :
0-7803-4408-1
DOI :
10.1109/ITW.1998.706401
