• East Asian mathematical journal
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• v.40 no.5
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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.