2 papers
math.NT2026
Differential addition on Jacobi quartic Curves
Seyed Golamhossein Hosseini, Reza Rezaeian Farashahi
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 5…
math.NT2026
Differential Addition on Twisted Edwards Curves
Seyed Gholamhossein Hosseini, Reza Rezaeian Farashahi
This paper presents new differential addition (i.e., the addition of two points with the known difference) and doubling formulas, as the core step in Montgomery scaler multiplicati…