Cryptology ePrint Archive: Report 1999/005
Lattice Based Cryptography: A Global Improvement
Abstract: We describe a general technique to simplify as well as to improve
several lattice based cryptographic protocols.
The technique is rather straightforward and is easily applied to
the protocols, and gives both a simpler analysis and better
performance than the original protocols. The improvement is global:
the modified protocols are simpler, faster, require less storage,
use less bandwidth and need less random bits than the originals.
Moreover, the improvement is achieved without any loss in security:
we formally prove that the modified protocols are at least as secure
as the original ones. In fact, the modified protocols might even
be more secure as the adversary gets less information. We exemplify
our technique on the Goldreich-Goldwasser zero-knowledge proof systems
for lattice problems and the GGH public key cryptosystem.
Category / Keywords: lattices, coAM, encryption, public key.
Publication Info: Appeared in the THEORY OF CRYPTOGRAPHY LIBRARY and has been included in the ePrint Archive.
Date: received March 4, 1999
Contact author: miccianc at theory lcs mit edu
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