Mitsuhiro Haneda, Tetsuya Takahashi
Abstract
This article is the summary of our work on the order of some hyperelliptic Jacobian groups. 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 $ \mathrm{H}\mathr m{C}\mathrm{C}$
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This article is the summary of our work on the order of some hyperelliptic Jacobian groups. 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 $ \mathrm{H}\mathr m{C}\mathrm{C}$
Key concepts: Hyperelliptic curve, Hyperelliptic curve cryptography, Jacobian matrix and determinant, Mathematics, Construct (python library), Order (exchange), Pure mathematics, Jacobian curve