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An Exposé on the López-Alt-Tromer-Vaikuntanathan Fully Homomorphic Encryption Scheme

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We present a careful rewrite of the Lopez-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.

  • This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
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  • E-project-042513-000009
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  • 2013
Date created
  • 2013-04-25
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