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[Keyword] skew-Frobenius maps(1hit)

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  • Skew-Frobenius Maps on Hyperelliptic Curves

    Shunji KOZAKI  Kazuto MATSUO  Yasutomo SHIMBARA  

     
    LETTER-Cryptography and Information Security

      Vol:
    E91-A No:7
      Page(s):
    1839-1843

    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.