Title
<p>R-LWE-Based Distributed Key Generation and Threshold Decryption</p>
Abstract
Ever since the appearance of quantum computers, prime factoring and discrete logarithm-based cryptography have been questioned, giving birth to the so-called post-quantum cryptography. The most prominent field in post-quantum cryptography is lattice-based cryptography, protocols that are proved to be as difficult to break as certain hard lattice problems like Learning with Errors (LWE) or Ring Learning with Errors (R-LWE). Furthermore, the application of cryptographic techniques to different areas, like electronic voting, has also nourished a great interest in distributed cryptography. In this work, we will give two original threshold protocols based in the lattice problem R-LWE: one for key generation and one for decryption. We will prove them both correct and secure under the assumption of hardness of some well-known lattice problems. Finally, we will give a rough implementation of the protocols in C to give some tentative results about their viability, in particular our model generates keys in the order of 10(3) ms and decrypts and encrypts in the order of 10(2) ms.
Year
DOI
Venue
2021
10.3390/math10050728
MATHEMATICS
Keywords
DocType
Volume
post-quantum cryptography, threshold cryptography, lattices, Ring Learning with Errors (R-LWE), R-LWE encryption
Journal
10
Issue
Citations 
PageRank 
5
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Ferran Alborch100.34
Ramiro Martinez200.34
Paz Morillo316616.02