On the Dimension of Algebraic-Geometric Trace Codes

We study trace codes induced from codes defined by an algebraic curve X. We determine conditions on X which admit a formula for the dimension of such a trace code. Central to our work are several dimension reducing methods for the underlying functions spaces associated to X.

Bibliographic Details
Main Authors: Phong Le, Sunil Chetty
Format: Article
Language:English
Published: MDPI AG 2016-05-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/4/2/32