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
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
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).
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MDPI and ACS Style
Le, P.; Chetty, S. On the Dimension of Algebraic-Geometric Trace Codes. Mathematics 2016, 4, 32.
Le P, Chetty S. On the Dimension of Algebraic-Geometric Trace Codes. Mathematics. 2016; 4(2):32.
Le, Phong; Chetty, Sunil. 2016. "On the Dimension of Algebraic-Geometric Trace Codes." Mathematics 4, no. 2: 32.
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