Skew-Frobenius Maps on Hyperelliptic Curves

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概要

• 論文の詳細を見る

• Scalar multiplication methods using the Frobenius maps are known for efficient methods to speed up (hyper) elliptic curve cryptosystems. However, those methods are not efficient for the cryptosystems constructed on fields of small extension degrees due to costs of the field operations. Iijima et al. showed that one can use certain automorphisms on the quadratic twists of elliptic curves for fast scalar multiplications without the drawback of the Frobenius maps. This paper shows an extension of the automorphisms on the Jacobians of hyperelliptic curves of arbitrary genus.

• （社）電子情報通信学会の論文
• 2008-07-01

著者

• Kozaki Shunji

  Institute Of Information Security

• MATSUO Kazuto

  Institute of Information Security

• SHIMBARA Yasutomo

  Institute of Information Security

関連論文

• Skew-Frobenius Maps on Hyperelliptic Curves
• A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields(Discrete Mathematics and Its Applications)

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