Interrelation of families of points of high order on the Edwards curve over a prime field
A. V. Bessalov, О.В. Цыганкова · Problems of Information Transmission · 2015
We propose a modification of the addition law on the Edwards curve over a prime field. We prove three theorems on properties of coordinates of high-order points and on a degenerate pair of twisted curves. We propose an algorithm for reconstructing all unknown points kP of the Edwards curve when only 1/8 of the points are known.