FIELD: radio engineering.
SUBSTANCE: open key Y1 of the first subscriber is shaped by generating its private secret key in the form of two X1 and W1 elements of G group, by generating additional private secret key of the first subscriber in the form of many-digit binary number s1, by generating V1 element of G group by the formula
where ° symbol means group operation, and further implementation of group operation with V1 and W1 elements, and open key Y2 of the second subscriber is formed by generating its private secret key in the form of two X2 and W2 elements of G group, by generating the additional private secret key of the second subscriber in the form of multi-digit binary number s2, by generating V2 element of G group by formula
and further implementation of group operation with V2 and W2 elements; at that, conditions of X1
Z≠ZX1, X1
X2=X2
X1, X2
Z≠ZX2, 
and 
are met, and non-commutative finite group is used as G group.
EFFECT: improving generation efficiency of common secret key of remote subscribers.
2 cl, 3 tbl, 7 ex, 1 app
