The development of secure mobile computing network based on secret sharing schemes

In the article the problem of construction of mobile networks for solving computationally complex problems is researched. It is proposed to use the modified secret sharing scheme (SSS) Asmuth-Bloom for distributed computing in the mobile network. The SSS constructed on the basis of residue number system (RNS) allows to parallelize arithmetic operations of addition and multiplication of numbers, but make it difficult to perform a division operation. The proposed method allows the efficient implementation of arithmetic operations of addition, multiplication and division in the RNS. To evaluate the performance of a mobile computing network the problem of solving systems of linear equations was used. It is shown that the use of the proposed approach makes it possible to parallelize computations and to ensure their safety.