A Study of Fully Homomorphic Encryption with Evaluation Control

Fully Homomorphic Encryption (FHE) allows third parties to perform arbitrary computations directly on ciphertexts without decryption, and the decrypted result is equal to the result of the corresponding plaintext computation. Under FHE, data owners ensure that third parties cannot see the original data during computation, thus preventing data leak. However, FHE cannot guarantee that third party will perform computations as the data owner expects. In this paper, we propose an evaluation control scheme applied to FHE. This scheme is based on fully homomorphic evaluation, whereby message duplication and deconstruction to validate if the evaluation result is trustworthy.