Implementation of Discretionary Security Policy in the Distributed Systems Based on the Secret Sharing Scheme

In this article the combination of secret sharing schemes and the requirement of discretionary security policy is considered. Secret sharing schemes of Shamir and Blakley are investigated. Conditions for parameters of schemes the providing forbidden information channels are received. Ways for concealment of the forbidden channels are suggested. Three modifications of the Shamir's scheme and two modifications of the Blakley's scheme are suggested. Transition from polynoms to exponential functions for formation the parts of a secret is carried out. The problem of masking the presence of the forbidden information channels is solved. Several approaches with the complete and partial concealment are suggested.