Kulaga A. Information Protection Bilinear Protocols Development.

The aim of the thesis is analysis and development of bilinear mathematics protocols to be applied for building of distributed information systems and providing distributed system interactions under mutual distrust of information exchange parties. According to the research results multilinear SignCryption protocols for n-parties were proposed; building of identity-based ElGamal-type signature schemes with the GDH groups was demonstrated; bilinear digital signature schemes with their threshold variants and blind signature schemes were proposed as well as iterative bilinear protocol of zero-knowledge proof of Diffie-Hellman problem solution was developed. The bilinear digital signature schemes protocol was developed on the bases of the research performed.