Simple Verification of Completeness of Two Addition Formulas on Twisted Edwards Curves

Daniel Bernstein and Tanja Lange [9] proved that two given addition formulas on twisted Edwards elliptic curves ax2 +y2 = 1+dxy are complete (i.e. the sum of any two points on a curve can be computed using one of these formulas). In this paper we give simple verification of completeness of these for...

Full description

Bibliographic Details
Main Authors: Robert Dryło, Tomasz Kijko
Format: Article
Language:English
Published: Polish Academy of Sciences 2020-09-01
Series:International Journal of Electronics and Telecommunications
Subjects:
Online Access:https://journals.pan.pl/Content/115226/PDF/63_2571_Dry%C5%82o_L_skl.pdf