The article deals with the problems of solving problems of determining and calculating EC parameters for the correct implementation of asymmetric cryptoalgorithms. Using the Vieta formulas, for the roots of polynomials, the method of choosing the coefficients is given. The interval for selecting the base point is indicated. The formulas of the tangent to the base point and finding the coordinates of the point of intersection of the tangent with the EC are determined. A recurrence formula is obtained for the addition of a base point with other points of EC with rational coordinates.
Akbarov, D E. and Akbarov, U Y.
"CHOICE OF AN ELLIPTIC CURVE AND DEVELOPMENT OF AN ALGORITHM OF ADDITION OF ITS POINTS WITH RATIONAL COORDINATES ON A FINITE FIELD,"
Scientific-technical journal: Vol. 22
, Article 10.
Available at: https://uzjournals.edu.uz/ferpi/vol22/iss2/10