Fibre products, character sums and geometric Goppa codes

Series

Lecture Notes in Pure and Applied Mathematics;204

Abstract

The purpose of this paper is to construct some new families of smooth projective curves over a finite field Fq with extremely many Fq-rational points. The genus in every such family is considerably less than the number of rational points, and these two facts allow to produce sufficiently long geometric Gappa codes with very good parameters.

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Publisher

CRC Press

Course

Other identifiers

Book Title

Number theory and its applications : proceedings of a summer school at Bilkent University

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Citation

Published Version (Please cite this version)

Language

English