Approximate homomorphic cryptographic operations

A computer program product comprising a computer readable storage medium having a computer readable program stored therein, wherein the computer readable program, when executed on a computing device, causes the computing device to:

• receive a specification of a homomorphic encryption (HE) operation to be performed on one or more workloads comprising one or more input ciphertexts;
• generate a circuit of HE computations for performing the HE operation, wherein the circuit comprises authentication tag checking logic at one or more inputs of the circuit, and nullification logic inserted into the circuit, wherein the nullification logic operates to delete ciphertext that has an invalid authentication tag;
• process the one or more workloads by the circuit of HE computations to generate one or more output ciphertexts that are results of the HE operation executed on the one or more input ciphertexts;
• and
• return the one or more output ciphertexts to a source computing system of the one or more workloads, wherein the output ciphertext are associated with the input ciphertexts with valid authentication tags.

An apparatus comprising:

• at least one processor;
• and
• at least one memory coupled to the at least one processor, wherein the at least one memory comprises instructions which, when executed by the at least one processor, cause the at least one processor to:
• receive a specification of a homomorphic encryption (HE) operation to be performed on one or more workloads comprising one or more input ciphertexts;
• generate a circuit of HE computations for performing the HE operation, wherein the circuit comprises authentication tag checking logic at one or more inputs of the circuit, and nullification logic inserted into the circuit, wherein the nullification logic operates to delete ciphertext that has an invalid authentication tag;
• process the one or more workloads by the circuit of HE computations to generate one or more output ciphertexts that are results of the HE operation executed on the one or more input ciphertexts;
• and
• return the one or more output ciphertexts to a source computing system of the one or more workloads, wherein the output ciphertext are associated with the input ciphertexts with valid authentication tags.