## Cryptology ePrint Archive: Report 2018/094

Parameterization of Edwards curves on the rational field Q with given torsion subgroups

Linh Tung Vo

Abstract: This paper presents the basic concepts of the Edwards curves, twisted Edwards curves and the point addition laws on these curves. The main result is the parameterization of the Edward curve with the given torsion subgroup in the rational field Q.

Category / Keywords: foundations / Edwards curve, twisted Edwards curve, torsion subgroups