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Wednesday, April 4, 2012

Algebraic Geometry Seminar
3:00 pm   in 145 Altgeld Hall,  Wednesday, April 4, 2012
 Del Edit Copy
Submitted by seminar.
 Alain Couvreur (INRIA Saclay and Ecole Polytechnique Paris)A construction of codes based on the Cartier operatorAbstract: We present a new construction of codes from algebraic curves which is suitable to provide codes on small fields. The approach involves the Cartier operator and can be regarded as a natural generalisation of classical Goppa codes. As for algebraic geometry codes, lower bounds on the parameters of these codes can be obtained by algebraic geometric methods.