A homomorphically encrypted one instruction computation (“HEROIC”) computing system is described. The described HEROIC cloud computing system utilizes a homomorphic encryption scheme. The homomorphic encryption scheme allows for meaningful manipulation of encrypted data directly within the encrypted domain (i.e., without the need to first decrypt the data and then re-encrypt the data after processing). The HEROIC cloud computing system eliminates the need for the cloud computing processor to first decrypt data prior to processing thereby eliminating the need for the cryptographic keys to be provided to the provider of the cloud computing system.