Faster Encrypted Controllers with Ring-LWE using Rational Canonical Form

This paper addresses the computational bottleneck of homomorphic operations in Ring-LWE based encrypted controllers. By leveraging the rational canonical form of the state matrix and a novel packing method, the authors significantly reduce the number of homomorphic operations, leading to faster and more efficient implementations. This is a significant contribution to the field of secure computation and control systems.

• •Proposes an efficient implementation of encrypted linear dynamic controllers.
• •Utilizes the rational canonical form to reduce computational complexity.
• •Introduces a novel packing method to minimize homomorphic operations.
• •Achieves faster implementation of encrypted controllers through these optimizations.