On the Dimension of Algebraic-Geometric Trace Codes

Phong Le and Sunil Chetty
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Phong Le: Department of Mathematics and Computer Science, Goucher College, Baltimore, MD 21204, USA
Sunil Chetty: Department of Mathematics, College of Saint Benedict and Saint John’s University, Collegeville, MN 56321, USA

Mathematics, 2016, vol. 4, issue 2, 1-9

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 .

Keywords: error correcting codes; trace codes; exponential sums; number theory; 11T71 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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