Remarks on codes from modular curves: MAGMA applications

Details Remarks on codes from modular curves: MAGMA applications Remarks on codes from modular curves: MAGMA applications

2004-03-31

arxiv.org/abs/math/0403548v1

Mathematics

Number Theory

29 pages

Scientific paper

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.

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