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Open AccessArticle

On the Dimension of Algebraic-Geometric Trace Codes

by Phong Le 1,* and Sunil Chetty 2
1
Department of Mathematics and Computer Science, Goucher College, Baltimore, MD 21204, USA
2
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
Mathematics 2016, 4(2), 32; https://doi.org/10.3390/math4020032
Received: 29 January 2016 / Revised: 21 April 2016 / Accepted: 22 April 2016 / Published: 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
MDPI and ACS Style

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

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