Counting points on hyperelliptic curves in average polynomial time
نویسندگان
چکیده
منابع مشابه
Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology
We describe an algorithm for counting points on an arbitrary hyperelliptic curve over a finite field Fpn of odd characteristic, using Monsky-Washnitzer cohomology to compute a p-adic approximation to the characteristic polynomial of Frobenius. For fixed p, the asymptotic running time for a curve of genus g over Fpn with a rational Weierstrass point is O(g4+ǫn3+ǫ).
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2014
ISSN: 0003-486X
DOI: 10.4007/annals.2014.179.2.7