Disclosed embodiments include a cryptographic system implemented in at least one digital computer with one or more processors or hardware such as FPGAs for performing secure computations, analysis, and signal processing directly on encrypted data in untrusted environments. According to a basic embodiment,...http://www.google.com/patents/US20110060917?utm_source=gb-gplus-sharePatent US20110060917 - CRYPTOGRAPHIC SYSTEM FOR PERFORMING SECURE COMPUTATIONS AND SIGNAL PROCESSING DIRECTLY ON ENCRYPTED DATA IN UNTRUSTED ENVIRONMENTS.