The goal of this research is to establish control theoretic methods enhance cyber security networked motion systems by utilizing somewhat homomorphic encryption. proposed approach will encrypt the entire schemes including: sensor signals, model parameters, feedback gains, and performs computation in ciphertext space generate commands servo without a hole. paper discuss implementation encrypted ...

Blum, Cucker, Shub and Smale have shown that the problem \P = NP ?" has the same answer in all algebraically closed elds of characteristic 0. We generalize this result to the polynomial hierarchy: if it collapses over an algebraically closed eld of characteristic 0, then it must collapse at the same level over all algebraically closed elds of characteristic 0. The main ingredient of their proof...

In this paper we port Brakerski’s fully homomorphic scheme based on the Learning With Errors (LWE) problem to the ring-LWE setting. We introduce two optimised versions of relinearisation that not only result in a smaller relinearisation key, but also faster computations. We provide a detailed, but simple analysis of the various homomorphic operations, such as multiplication, relinearisation and...