The concept of fully homomorphic encryption has been considered the "holy grail" of cryptography since the discovery of secure public key cryptography in the 1970s. Fully homomorphic encryption allows arbitrary computation on encrypted data to be performed securely. Craig Gentry's new method of bootstrapping introduced in 2009 provides a technique for constructing fully homomorphic cryptosystems. In this paper we explore one such bootstrappable system based on simple integer arithmetic in a manner that someone without a high level of experience in homomorphic encryption can readily understand. Further, we present an implementation of the system as well as a lattice- based attack. We present performance results of our implementation under various parameter choices and the resistance of the system to the lattice-based attack under those parameters. Unfortunately, while the system is very interesting from a theoretical point of view, the results show that it is still not feasible for use.
Library of Congress Subject Headings
Data encryption (Computer science); Public key cryptography; Computer security
- Please Select One -
Department, Program, or Center
School of Mathematical Sciences (COS)
Snook, Michael, "Integer-based fully homomorphic encryption" (2011). Thesis. Rochester Institute of Technology. Accessed from
RIT – Main Campus