FIELD: information technology.
SUBSTANCE: method of storing and using a cryptographic key of asymmetric cryptographic algorithms on elliptical curves, in which a private key d is divided into parts d1,…,dn, where d=d1+…+dn (mod q), which are securely stored on key carriers, cryptographic operations for generating an electronic digital signature, decoding and/or generating a general in accordance with a Diffie-Hellman algorithm are performed distributively on key carriers without generating a general private key, and results of performing these operations are processed in a computer system (assembly unit) which generates a general result of the cryptographic operation, wherein during generation of the electronic digital signature, each key carrier generates a random number ki (7≤i≤n - number of the key carrier), generates the corresponding multiple point of the elliptical curve Ri=ki P and sends it to the computer system which finds the point R=R1+…+Rn and sends the first coordinate of that point (r) to key carriers, after which each key carrier finds si=(rdi+ki e)(mod q) and sends the obtained value to the computer system, where s=(s1+…+sn)(mod q) is generated, wherein the number pair (r, s) is the electronic digital signature.
EFFECT: low probability of breaching a hidden private key and elimination of cryptographically dangerous consequences for breaching the key in the restricted model of the violator.
6 cl, 3 dwg
Authors
Dates
2011-04-27—Published
2008-08-19—Filed