1 citations · 3 across the 8 of their papers we have counts for
8 papers
Generators of Jacobians of Genus Two Curves
Christian Robenhagen Ravnshoj
We prove that in most cases relevant to cryptography, the Frobenius endomorphism on the Jacobian of a genus two curve is represented by a diagonal matrix with respect to an appropr…
Non-Cyclic Subgroups of Jacobians of Genus Two Curves
Christian Robenhagen Ravnshoj
Let E be an elliptic curve defined over a finite field. Balasubramanian and Koblitz have proved that if the l-th roots of unity m_l is not contained in the ground field, then a fie…
Non-Cyclic Subgroups of Jacobians of Genus Two Curves with Complex Multiplication
Christian Robenhagen Ravnshoj
Let E be an elliptic curve defined over a finite field. Balasubramanian and Koblitz have proved that if the l-th roots of unity m_l is not contained in the ground field, then a fie…
Pairings on Jacobians of Hyperelliptic Curves
Christian Robenhagen Ravnshoj
Consider the jacobian of a hyperelliptic genus two curve defined over a finite field. Under certain restrictions on the endomorphism ring of the jacobian we give an explicit descri…
p-torsion of Genus Two Curves Over Prime Fields of Characteristic p
Christian Robenhagen Ravnshoj
Consider the Jacobian of a hyperelliptic genus two curve defined over a prime field of characteristic p and with complex multiplication. In this paper we show that the p-Sylow subg…
Embedding Degree of Hyperelliptic Curves with Complex Multiplication
Christian Robenhagen Ravnshoj
Consider the Jacobian of a genus two curve defined over a finite field and with complex multiplication. In this paper we show that if the l-Sylow subgroup of the Jacobian is not cy…