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Progress in Cryptology – AFRICACRYPT 2014

Volume 8469 of the series Lecture Notes in Computer Science pp 377-397

Anonymous IBE from Quadratic Residuosity with Improved Performance

  • Michael ClearAffiliated withSchool of Computer Science and Statistics, Trinity College Dublin
  • , Hitesh TewariAffiliated withSchool of Computer Science and Statistics, Trinity College Dublin
  • , Ciarán McGoldrickAffiliated withSchool of Computer Science and Statistics, Trinity College Dublin

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Abstract

Identity Based Encryption (IBE) has been constructed from bilinear pairings, lattices and quadratic residuosity. The latter is an attractive basis for an IBE owing to the fact that it is a well-understood hard problem from number theory. Cocks constructed the first such scheme, and subsequent improvements have been made to achieve anonymity and improve space efficiency. However, the anonymous variants of Cocks’ scheme thus far are all less efficient than the original. In this paper, we present a new universally-anonymous IBE scheme based on the quadratic residuosity problem. Our scheme has better performance than the universally anonymous scheme from Ateniese and Gasti (CT-RSA 2009) at the expense of more ciphertext expansion.

Keywords

Identity Based Encryption Anonymous IBE Cocks Scheme Quadratic Residuosity