Abstract. Edwards curves have attracted great interest for several reasons. When curve parameters are chosen properly, the addition formulas use only 10M + 1S. The formulas are str...
This paper analyzes the best speeds that can be obtained for single-scalar multiplication with variable base point by combining a huge range of options: – many choices of coordin...
Daniel J. Bernstein, Peter Birkner, Tanja Lange, C...
Edwards recently introduced a new normal form for elliptic curves. Every elliptic curve over a non-binary field is birationally equivalent to a curve in Edwards form over an exten...