On the dimension of algebraic-geometric trace codes

Authors

Phong Le
Sunil Chetty, College of Saint Benedict/Saint John's UniversityFollow

Document Type

Article

Publication Date

5-7-2016

Disciplines

Mathematics | Number Theory

Abstract

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.

Comments

This article was first published by Mathematics. doi:10.3390/math4020032

Copyright Statement

This is an open access article distributed under the Creative Commons Attribution License (CC BY 4.0).

Recommended Citation

Le P, Chetty S. 2016. On the dimension of algebraic-geometric trace codes. Mathematics 4(2), 32.