Finite group actions on Riemann Roch spaces and automorphisms of algebraic geometry codes -- Amy Ksir

I will review how the Riemann-Roch space of an algebraic curve can be used to construct an error correcting code, and discuss the relationship between automorphisms of the curve and of the code. I will show that in many cases, the automorphism group of a curve and the permutation automorphism group of a corresponding AG code are the same. Based on joint work with David Joyner, math.AG/0412459