Special digital signature schemes based on GOST R 34.10-2012

In state of the art information systems some special digital signature schemes are utilized since traditional cryptographic primitives do not allow to solve a number of topical security tasks. The following signature schemes are widespread nowadays: threshold signatures, blind signatures, group signatures, ring signatures, etc. Fail-stop signature schemes are also quite investigated but are not used in practice yet. Special digital signature schemes are mostly based on well-known cryptographic algorithms, e.g. RSA, DSA, ElGamal. However, there are no similar modifications of Russian Digital Signature Standard GOST R 34.10-2012 used in many commercial applications. In order to fill a gap we propose and validate secure threshold, blind and fail-stop signature schemes based on GOST R 34.10-2012 algorithm. The obtained cryptographic primitives can be used in e-commerce to improve the security of information systems by using strong basic algorithm.