Cryptology ePrint Archive: Report 2013/297

Improvement and Efficient Implementation of a Lattice-based Signature Scheme

Rachid El Bansarkhani and Johannes Buchmann

Abstract: Lattice-based signature schemes constitute an interesting alternative to RSA and discrete logarithm based systems which may become insecure in the future, for example due to the possibility of quantum attacks. A particularly interesting scheme in this context is the GPV signature scheme [GPV08] combined with the trapdoor construction from Micciancio and Peikert [MP12] as it admits strong security proofs and is believed to be very efficient in practice. This paper con rms this belief and shows how to improve the GPV scheme in terms of space and running time and presents an implementation of the optimized scheme. A ring variant of this scheme is also introduced which leads to a more ecient construction. Experimental results show that GPV with the new trapdoor construction is competitive to the signature schemes that are currently used in practice.

Category / Keywords: Lattice-Based Signatures, Practicality, Implementations

Date: received 18 May 2013, last revised 25 Jul 2013

Contact author: elbansarkhani at cdc informatik tu-darmstadt de

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Version: 20130725:122708 (All versions of this report)

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