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Fully Homomorphic Encryption with Relatively Small Key and Ciphertext Sizes

  • N. P. Smart
  • F. Vercauteren
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6056)

Abstract

We present a fully homomorphic encryption scheme which has both relatively small key and ciphertext size. Our construction follows that of Gentry by producing a fully homomorphic scheme from a “somewhat” homomorphic scheme. For the somewhat homomorphic scheme the public and private keys consist of two large integers (one of which is shared by both the public and private key) and the ciphertext consists of one large integer. As such, our scheme has smaller message expansion and key size than Gentry’s original scheme. In addition, our proposal allows efficient fully homomorphic encryption over any field of characteristic two.

Keywords

Prime Ideal Element Representation Symmetric Polynomial Homomorphic Encryption Challenge Ciphertext 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • N. P. Smart
    • 1
  • F. Vercauteren
    • 2
  1. 1.Dept. Computer ScienceUniversity of BristolBristolUnited Kingdom
  2. 2.COSIC - Electrical EngineeringKatholieke Universiteit LeuvenHeverleeBelgium

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