Remarks on codes from modular curves: MAGMA applications

David Joyner, Salahoddin Shokranian

Published 2004-03-31Version 1

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.