Paper Info
Title
CRYSTALS-Dilithium: A Lattice-Based Digital Signature Scheme.
Abstract
In this paper, we present the lattice-based signature scheme Dilithium, which is a component of the CRYSTALS (Cryptographic Suite for Algebraic Lattices) suite that was submitted to NIST’s call for post-quantum cryptographic standards. The design of the scheme avoids all uses of discrete Gaussian sampling and is easily implementable in constant-time. For the same security levels, our scheme has a public key that is 2.5X smaller than the previously most efficient lattice-based schemes that did not use Gaussians, while having essentially the same signature size. In addition to the new design, we significantly improve the running time of the main component of many lattice-based constructions – the number theoretic transform. Our AVX2-based implementation results in a speed-up of roughly a factor of 2 over the previously best algorithms that appear in the literature. The techniques for obtaining this speed-up also have applications to other lattice-based schemes.
Year
Venue
Field
2018
IACR Trans. Cryptogr. Hardw. Embed. Syst.
Algebraic number,Lattice (order),Cryptography,Computer science,Algorithm,Digital signature,Theoretical computer science,Gaussian,NIST,Sampling (statistics),Public-key cryptography
DocType
Volume
Issue
Journal
2018
1
Citations 
PageRank 
References 
4
0.42
0
Authors
7
Name
Order
Citations
PageRank
Léo Ducas149728.81
Eike Kiltz22872117.46
Tancrède Lepoint358127.71
Vadim Lyubashevsky4117459.91
Peter Schwabe575944.16
Gregor Seiler6268.73
Damien Stehlé7126973.95