CRYPTOGRAPHY WITH PARAMETERISATION ON ELLIPTIC CURVE Russian patent published in 2014 - IPC H04L9/30 

FIELD: physics.

SUBSTANCE: invention relates to a method, a device and a system for checking the device using a controller based on a password. The method comprises steps of determining, based on a random number r1, a point P(X, Y) on an elliptic curve in a finite field Fq, where q is an integer, and the curve is described by the equation E_a,b(x, y):x³+ax+b=y² (1); obtaining first and second parameters k and k′, such that P=F(k, k'), where F is a surjective function of FqxFq′ Fq; obtaining the first and second parameters in encrypted form via encryption as a function of the password; and transmitting said encrypted first and second parameters to the controller, wherein the function F is such that, regardless of z and z′ input elements of Fq, F(z, z′) is a point on the elliptic curve, and the input elements do not satisfy equation (1).

EFFECT: improved security owing to encryption with parameterisation on an elliptic curve.

10 cl, 4 dwg