Next Article in Journal
Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra
Previous Article in Journal
New Approach for Fractional Order Derivatives: Fundamentals and Analytic Properties
Article Menu

Export Article

Open AccessArticle
Mathematics 2016, 4(2), 32;

On the Dimension of Algebraic-Geometric Trace Codes

Department of Mathematics and Computer Science, Goucher College, Baltimore, MD 21204, USA
Department of Mathematics, College of Saint Benedict and Saint John’s University, Collegeville, MN 56321, USA
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 29 January 2016 / Revised: 21 April 2016 / Accepted: 22 April 2016 / Published: 7 May 2016
Full-Text   |   PDF [234 KB, uploaded 7 May 2016]


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. View Full-Text
Keywords: error correcting codes; trace codes; exponential sums; number theory; 11T71 error correcting codes; trace codes; exponential sums; number theory; 11T71
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Le, P.; Chetty, S. On the Dimension of Algebraic-Geometric Trace Codes. Mathematics 2016, 4, 32.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top