Computing equations of curves with many points
Virgile Ducet, Claus Fieker · The Open Book Series · 2013
Computing equations of curves with many points Virgile Ducet and Claus FiekerWe explain how to compute the equations of the abelian coverings of any curve defined over a finite field.Then we describe an algorithm which computes curves with many rational points with respect to their genus.The implementation of the algorithm provides seven new records over ކ 2 .