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A Comparison of Point Counting methods for Hyperelliptic Curves over Prime Fields and Fields of Characteristic 2
Hyperelliptic Curve Cryptography lattices point counting Jacobian
2009/4/3
Computing the order of the Jacobian of a hyperelliptic curve remains a hard problem. It is
usually essential to calculate the order of the Jacobian to prevent certain sub-exponential
attacks on the ...
Suitable Curves for Genus-4 HCC over Prime Fields: Point Counting Formulae for Hyperelliptic Curves of type y2 = x2k+1 + ax
Genus-4 HCC Hyperelliptic Curves
2009/3/27
Computing the order of the Jacobian group of a hyperelliptic
curve over a finite field is very important to construct a hyperelliptic
curve cryptosystem (HCC), because to construct secure HCC, we ne...
An AGM-type elliptic curve point counting algorithm in characteristic three
elliptic curve finite field point counting cryptography
2009/3/20
Given an ordinary elliptic curve on Hesse form over a finite field
of characteristic three, we give a sequence of elliptic curves which leads to
an effective construction of the canonical lift, and ...