The number of points on a curve, and applications Arcs and curves: the legacy of Beniamino Segre

Curves defined over a finite field have various applications, such as (a) the construction of good error-correcting codes, (b) the correspondence with arcs in a finite Desarguesian plane, (c) the Main Conjecture for maximum-distance-separable (MDS) codes. Bounds for the number of points of such...

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Bibliographic Details
Main Author: J. W. P. Hirschfeld
Format: Article
Language:English
Published: Sapienza Università Editrice 2006-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2006(1)/13-28.pdf