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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 ...
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...
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 ...

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