2009 | OriginalPaper | Chapter
Smooth Projective Hashing and Password-Based Authenticated Key Exchange from Lattices
Authors : Jonathan Katz, Vinod Vaikuntanathan
Published in: Advances in Cryptology – ASIACRYPT 2009
Publisher: Springer Berlin Heidelberg
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We describe a public-key encryption scheme based on lattices — specifically, based on the hardness of the
learning with error
(LWE) problem — that is secure against chosen-ciphertext attacks while admitting (a variant of) smooth projective hashing. This encryption scheme suffices to construct a protocol for password-based authenticated key exchange (PAKE) that can be proven secure based on the LWE assumption in the standard model. We thus obtain the first PAKE protocol whose security relies on a lattice-based assumption.