Article ID Journal Published Year Pages File Type
4583511 Finite Fields and Their Applications 2008 7 Pages PDF
Abstract

Let C be a smooth, geometrically connected, projective curve of genus g⩾2 defined over Fq. Here we follow a recent paper of Savin and study the parameters (size, dimension, minimal distance) of algebraic codes constructed using vector bundles E on C. We need to construct vector bundles defined over Fq and with certain numerical invariants (degree, rank h0(C,E), order of 1-stability).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory