Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here, the authors relate an important application of such curves, namely, to the construction of low-discrepancy sequences, needed for numerical methods in diverse areas. Jun 14, 2001 · Rational Points on Curves over Finite Fields: Theory and Applications London Mathematical Society Lecture Note Series Book 285 - Kindle edition by Niederreiter, Harald, Xing, Chaoping, Xing, Chaoping. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Rational Points on Curves over Finite Fields.

Book description. 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 for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points relative to the genus. London Mathematical Society Lecture Note Series. 2&/ [y i€,lWv Rational Points on Curves over Finite Fields: Theory and Applications Harald Niederreiter National University of Singapore Chaoping Xing National University of Singapore CAMBRIDGE UNIVERSITY PRESS. Contents Preface ix 1 Background on Function Fields 1.

Rational points on curves over finite fields: theory and applications. Niederreiter, Harald, 1944-

This volume presents the results of the AMS-IMS-SIAM Joint Summer Research Conference held at the University of Washington Seattle. The talks were devoted to various aspects of the theory of algebraic curves over finite fields and its numerous applications. The three basic themes are the following: Curves with many rational points.

The Fourth International Conference on 'Finite Fields: Theory, Applications, and Algorithms' was held at the University of Waterloo in August 1997. This volume presents the refereed proceedings. Because of its applications in so many diverse areas, finite fields continues to. Algebraic curves over finite fields with many rational points have received a lot of attention in recent years. We present a survey of this subject covering both the case of fixed genus and the. Rational Points on Curves over Finite Fields: Theory and Applications London Mathematical Society Lecture Note Series, N285/000 Harald Niederreiter, Chaoping Xing. Cambridge Univ Pr, ISBN: 0521665434, 2001. が挙げられます。. Mar 01, 2005 · By a curve we mean a smooth absolutely irreducible projective curve. For the number of rational points on a curve C of genus g over a finite field F q, the Hasse–Weil boundC F q ⩽ q12 g q is well-known. A curve is said to be maximal over F q, if it attains this bound.

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