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