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Differential addition on Jacobi quartic Curves

In this paper we present new differential addition and doubling formulas for Jacobi quartic curves. Several differential addition and doubling formulas are presented with cost of 5M+4S+1D,3M+7S+1D,3M+6S+3D when the given difference point is in affine form. Here M,S,D denote the costs of a field multiplication, a field squaring and a field multiplication by a constant, respectively.

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References (33)

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