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IACR
2011
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13 years 3 days ago
Group Law Computations on Jacobians of Hyperelliptic Curves
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
Craig Costello, Kristin Lauter
JSC
2010
63views more  JSC 2010»
13 years 7 months ago
A bound on the projective dimension of three cubics
We show that given any polynomial ring R over a field and any ideal J R which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle the...
Bahman Engheta