### Practical Applications of Improved Gaussian Sampling for Trapdoor Lattices

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

##### Abstract

Lattice trapdoors are an important primitive used in a wide range of cryptographic protocols, such as identity-based encryption (IBE), attribute-based encryption, functional encryption, and program obfuscation. In this paper, we present software implementations of the Gentry-Peikert-Vaikuntanathan (GPV) digital signature, IBE and ciphertext-policy attribute-based encryption (CP-ABE) schemes based on an efficient Gaussian sampling algorithm for trapdoor lattices, and demonstrate that these three important cryptographic protocols are practical. One important aspect of our implementation is that it supports prime moduli, which are required in many cryptographic schemes. Also, our implementation uses bases larger than two for the gadget matrix whereas most previous implementations use the binary base. We show that the use of higher bases significantly decreases execution times and storage requirements. We adapt IBE and CP-ABE schemes originally based on learning with errors (LWE) hardness assumptions to a more efficient Ring LWE (RLWE) construction. To the best of our knowledge, ours are the first implementations employing the Gaussian sampling for non-binary bases of the gadget matrix. The experimental results demonstrate that our lattice-based signature, IBE and CP-ABE implementations, which are based on standard assumptions with post-quantum security, provide a performance comparable to the recent state-of-the-art implementation works based on stronger/non-post-quantum assumptions.

Available format(s)
Category
Implementation
Publication info
Published elsewhere. IEEE Transactions on Computers
DOI
10.1109/TC.2018.2874479
Contact author(s)
polyakov @ njit edu
History
2019-03-06: last of 4 revisions
See all versions
Short URL
https://ia.cr/2017/1254

CC BY

BibTeX

@misc{cryptoeprint:2017/1254,
author = {Kamil Doruk Gür and Yuriy Polyakov and Kurt Rohloff and Gerard W.  Ryan and Hadi Sajjadpour and Erkay Savaş},
title = {Practical Applications of Improved Gaussian Sampling for Trapdoor Lattices},
howpublished = {Cryptology ePrint Archive, Paper 2017/1254},
year = {2017},
doi = {10.1109/TC.2018.2874479},
note = {\url{https://eprint.iacr.org/2017/1254}},
url = {https://eprint.iacr.org/2017/1254}
}

Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.