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On the Dimension of Algebraic-Geometric Trace Codes

Author

Listed:
  • 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)

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 .

Suggested Citation

  • Phong Le & Sunil Chetty, 2016. "On the Dimension of Algebraic-Geometric Trace Codes," Mathematics, MDPI, vol. 4(2), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:2:p:32-:d:69621
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