Tenth Algorithmic Number Theory Symposium ANTSX

Computing equations of curves with many points
Virgile Ducet and Claus Fieker
Abstract: We explain how to compute the equations of the abelian coverings of any curve defined over a finite field. Then we describe an algorithm which computes curves with many rational points with respect to their genus. The implementation of the algorithm provides 7 new records over F_2.
Files available: paper (PDF), slides
© 201112 Kiran S. Kedlaya (with thanks to Pierrick Gaudry and Emmanuel ThomÃ©)
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