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Differential addition on Jacobi quartic Curves

Published 18 Jun 2026 in math.NT and cs.CR | (2606.20892v1)

Abstract: 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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