Remarks on codes from modular curves: MAGMA applications
Abstract
Expository paper discussing AG or Goppa codes arising from curves, first from an abstract general perspective then turning to concrete examples associated to modular curves. We will try to explain these extremely technical ideas using a special case at a level to a typical graduate student with some background in modular forms, number theory, group theory, and algebraic geometry. Many examples using MAGMA are included.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403548
 Bibcode:
 2004math......3548J
 Keywords:

 Mathematics  Number Theory;
 Computer Science  Information Theory;
 Mathematics  Algebraic Geometry;
 14H37;
 94B27;
 20C20;
 11T71;
 14G50;
 05E20;
 14Q05
 EPrint:
 29 pages