Differential addition on Jacobi quartic curves

The Jacobi quartic curve is a representation of an elliptic curve different from the usual Weierstrass equation. To achieve a faster algorithm, recent works use up to 7 coordinates to represent a single point. In this paper, we present differential addition formulas on Jacobi quartic curves, and it only needs 2 coordinates for every point. Analysis shows that our algorithm provides the competitive speed with existent methods, but it needs less memory. So our algorithm is more suitable to resource constrained environments, such as smart card and mobile phone.