Paper Info
Title
CRYSTALS - Kyber: A CCA-Secure Module-Lattice-Based KEM
Abstract
Rapid advances in quantum computing, together with the announcement by the National Institute of Standards and Technology (NIST) to define new standards for digitalsignature, encryption, and key-establishment protocols, have created significant interest in post-quantum cryptographic schemes. This paper introduces Kyber (part of CRYSTALS - Cryptographic Suite for Algebraic Lattices - a package submitted to NIST post-quantum standardization effort in November 2017), a portfolio of post-quantum cryptographic primitives built around a key-encapsulation mechanism (KEM), based on hardness assumptions over module lattices. Our KEM is most naturally seen as a successor to the NEWHOPE KEM (Usenix 2016). In particular, the key and ciphertext sizes of our new construction are about half the size, the KEM offers CCA instead of only passive security, the security is based on a more general (and flexible) lattice problem, and our optimized implementation results in essentially the same running time as the aforementioned scheme. We first introduce a CPA-secure public-key encryption scheme, apply a variant of the Fujisaki-Okamoto transform to create a CCA-secure KEM, and eventually construct, in a black-box manner, CCA-secure encryption, key exchange, and authenticated-key-exchange schemes. The security of our primitives is based on the hardness of Module-LWE in the classical and quantum random oracle models, and our concrete parameters conservatively target more than 128 bits of postquantum security.
Year
DOI
Venue
2018
10.1109/EuroSP.2018.00032
2018 IEEE European Symposium on Security and Privacy (EuroS&P)
Keywords
DocType
ISBN
post quantum cryptography,key encapsulation,module lattices,learning with errors
Conference
978-1-5386-4229-0
Citations 
PageRank 
References 
22
1.08
36
Authors
8
Name
Order
Citations
PageRank
Joppe W. Bos173846.54
Léo Ducas249728.81
Eike Kiltz32872117.46
Tancrède Lepoint458127.71
Vadim Lyubashevsky5117459.91
John M. Schanck6755.96
Peter Schwabe775944.16
Damien Stehlé8126973.95