Fully homomorphic encryption method based on a bootstrappable encryption scheme, computer program and apparatus

A method includes encrypting information in accordance with an encryption scheme that uses a public key; encrypting a plurality of instances of a secret key, each being encrypted using at least one additional instance of the public key; sending the encrypted information and the plurality of encrypted instances of the secret key to a destination; receiving an encrypted result from the destination; and decrypting the encrypted result. A further method includes receiving a plurality of encrypted secret keys and information descriptive of a function to be performed on data; converting the information to a circuit configured to perform the function on the data; and applying the data to inputs of the circuit and evaluating the data using, in turn, the plurality of encrypted secret keys.