• 제목/요약/키워드: Generalized Huff Curve

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SCALAR MULTIPLICATION ON GENERALIZED HUFF CURVES USING THE SKEW-FROBENIUS MAP

  • Gyoyong Sohn
    • East Asian mathematical journal
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    • 제40권5호
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    • pp.551-557
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    • 2024
  • This paper presents the Frobenius endomorphism on generalized Huff curve and provides the characteristic polynomial of the map. By applying the Frobenius endomorphism on generalized Huff curve, we construct a skew-Frobenius map defined on the quadratic twist of a generalized Huff curve. This map offers an efficiently computable homomorphism for performing scalar multiplication on the generalized Huff curve over a finite field. As an application, we describe the GLV method combined with the Frobenius endomorphism over the curve to speed up the scalar multiplication.