Martin, William J.
We present a careful rewrite of the LÃ³pez-Alt-Tromer-Vaikuntanathan (LTV) scheme specializing to the traditional single-key approach. Simplifying notation and filling in gaps our rewrite will make the information in the LTV scheme accessible to non-experts. As this construction was one of the authors main contributions, we believe it to be of independent interest. Particularly since the NTRU scheme, when compared to other public key cryptosystems at roughly equivalent levels of security, offers more efficient encryption and decryption as well as much faster key generation. Although some of the efficiency of NTRU was lost during the transformation to a fully homomorphic system, we believe that this system is still a leading candidate for a practical fully homomorphic encryption scheme.
Worcester Polytechnic Institute
Major Qualifying Project
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Electrical and Computer Engineering