Still better nonlinear codes from modular curves

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give a new construction of nonlinear error-correcting codes over suitable finite fields k from the geometry of modular curves with many rational points over k, combining two recent improvements on Goppa's construction. The resulting codes are asymptotically the best currently known.
10 pages

Keywords

Number Theory, Information Theory, Algebraic Geometry, 94B27; 94B65

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/134359

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308046
 http://arxiv.org/abs/math/0308046

Collections

arXiv