Discussion of theory and applications of algebraic curves over finite fields with many rational points.

In 1961 the second author deliv1lred a series of lectures at Haverford Col lege on the subject of "Rational Points on Cubic Curves. " These lectures, intended f

This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental i

Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic f

This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools