Development of a secure system for distributed data storage and processing in the clouds based on the concept of active security in RNS

Addresses the question of application of the concept of active security to a distributed system of data storage in multicloud environment. We show that secret sharing schemes, methods of periodical update of keys and authentication methods allow to minimize the risks of cloud conspiracy and provide secure and reliable data storage for a long time. We research the question of control of results of computations in multicloud environment with the use of arithmetic properties of RNS. It is shown in the paper that RNS allows to provide the authenticity of results of computations with a given probability.