Cryptology ePrint Archive: Report 2017/285

Implementation and Evaluation of Improved Gaussian Sampling for Lattice Trapdoors

Kamil Doruk Gür and Yuriy Polyakov and Kurt Rohloff and Gerard W. Ryan and Erkay Savaş

Abstract: We report on our implementation of a new Gaussian sampling algorithm for lattice trapdoors. Lattice trapdoors are used in a wide array of lattice-based cryptographic schemes including digital signatures, attributed-based encryption, program obfuscation and others. Our implementation provides Gaussian sampling for trapdoor lattices with prime moduli, and supports both single- and multi-threaded execution. We experimentally evaluate our implementation through its use in the GPV hash-and-sign digital signature scheme as a benchmark. We compare our design and implementation with prior work reported in the literature. The evaluation shows that our implementation 1) has smaller space requirements and faster runtime, 2) does not require multi-precision floating-point arithmetic, and 3) can be used for a broader range of cryptographic primitives than previous implementations.

Category / Keywords: implementation / digital signatures and implementation and lattice techniques

Original Publication (in the same form): WAHC 2018 6th Workshop on Encrypted Computing & Applied Homomorphic Cryptography

Date: received 28 Mar 2017, last revised 2 Oct 2018

Contact author: polyakov at njit edu

Available format(s): PDF | BibTeX Citation

Version: 20181003:023934 (All versions of this report)

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