FIELD: computer equipment.
SUBSTANCE: method of forming common secret key of two remote users of telecommunication system, in which at the first subscriber the public key Y1 is formed by generation of its personal secret key in the form of the element R of the finite set of algebraic elements G, which is the right local unit of the common element Z of the finite set of algebraic elements G, and natural number x1 and subsequent generation of public key Y1 by formula Y1=RZx1, in second subscriber, public key Y2 is generated by generating its personal secret key in form of element L of finite set of algebraic elements G, which is a right-hand left local unit of general element Z of finite set of algebraic elements G, and natural number x2 and subsequent generation of public key Y2 by formula Y2=Zx2L, wherein finite set of algebraic elements G with associative multiplication operation generate finite algebra with non-commutative associative multiplication operation.
EFFECT: technical result consists in reduction of time required for generation of encryption key due to reduced volume of calculations for generation of encryption key while maintaining required cryptographic stability.
1 cl, 1 tbl
