METHOD OF FORMING COMMON SECRET KEY OF TWO REMOTE SUBSCRIBERS Russian patent published in 2020 - IPC H03M5/00 

FIELD: telecommunications.

SUBSTANCE: method of forming a common secret key of two remote users of a telecommunication system generates a finite algebra G with a non-commutative associative multiplication operation, generates a general element Z of the finite algebra G, first public key in form of Y₁ element of finite algebra G is generated at first subscriber, transmitted to second subscriber, second subscriber – Y₂ of finite algebra G, transmitted to first subscriber, first and second subscriber generates common secret key in form of element K of finite algebra G, noncommutative finite algebra G containing a plurality of global units is used, two auxiliary common elements D and H are formed, the first subscriber's private secret is generated in the form of two natural multi-bit binary numbers x₁ and t₁, personal secret key of the second subscriber – x₂ and t₂, open key of the first subscriber is formed by formula open key of the second subscriber is formed by formula

EFFECT: technical result is wider range of means.

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