Number Theory pp 229-250 | Cite as

Rational Desingularization of a Curve Defined Over a Finite Field

  • A. T. Vasquez
Conference paper


In 1983, the IEEE’s “paper of the year” in Information Theory was Modular Curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound [18]—its authors are Tsfasman, Vladut, and Zink. As the title suggests, the paper established the existence of families of codes with asymptotically “better” parameters than had been thought possible.


Prime Ideal Maximal Ideal Algebraic Curf Valuation Ring Minimal Polynomial 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • A. T. Vasquez
    • 1
  1. 1.Mathematics Department, Graduate School and University CenterCity University of New YorkNew YorkUSA

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