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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 geometric description o...
We derive a new method of computing the composition step in Cantor's algorithm for group operations on Jacobians of hyperelliptic curves.
Hyperelliptic curve cryptography recently received a lot of attention, especially for constrained environments. Since there space is critical, compression techniques are interesting. In this note we...
In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Ga...
his paper provides a probabilistic algorithm to determine generators of the m-torsion subgroup of the Jacobian of a hyperelliptic curve of genus two.
Consider the Jacobian of a hyperelliptic genus two curve dened over a nite eld. Under certain restrictions on the endomorphism ring of the Jacobian, we give an explicit description of all non-deg...

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