Revisiting Multivariate Ring Learning with Errors and Its Applications on Lattice-Based Cryptography [PDF]
Mathematics, 2021 The “Multivariate Ring Learning with Errors” problem was presented as a generalization of Ring Learning with Errors (RLWE), introducing efficiency improvements with respect to the RLWE counterpart thanks to its multivariate structure.
Alberto Pedrouzo-Ulloa +4 more
doaj +9 more sources
CIDER: Cyber‐Security in Industrial IoT Using Deep Learning and Ring Learning with Errors
IET Cyber-Physical SystemsTraditional security measures such as access control and authentication need to be more effective against ever‐evolving threats. Moreover, security concerns increase as more industries shift towards adopting the industrial Internet of things (IIoT ...
Siu Ting Tsoi, Anish Jindal
doaj +5 more sources
Post-Quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
2015 IEEE Symposium on Security and Privacy, 2015 Lattice-based cryptographic primitives are believed to offer resilience against attacks by quantum computers. We demonstrate the practicality of post-quantum key exchange by constructing cipher suites for the Transport Layer Security (TLS) protocol that provide key exchange based on the ring learning with errors (R-LWE) problem, we accompany these ...
Joppe W Bos +2 more
exaly +6 more sources
Non-commutative Ring Learning with Errors from Cyclic Algebras [PDF]
Journal of Cryptology, 2020 The Learning with Errors (LWE) problem is the fundamental backbone of modern lattice-based cryptography, allowing one to establish cryptography on the hardness of well-studied computational problems.
Charles Grover +2 more
semanticscholar +8 more sources
Inner product encryption from ring learning with errors [PDF]
Cybersecurity, 2020 The functional encryption scheme designed using the lattice can realize fine-grained encryption and it can resist quantum attacks. Unfortunately, the sizes of the keys and ciphertexts in cryptographic applications based on learning with errors are large,
Shisen Fang, Shaojun Yang, Yuexin Zhang
doaj +3 more sources
On the Security of Group Ring Learning with Errors [PDF]
IACR Communications in CryptologyWe propose a dimension-reducing transformation on Group Ring Learning with Errors (GRLWE) samples. We exhibit an efficiently computable isomorphism which takes samples defined over the group rings used in the construction of GRLWE to twice as many ...
Andrew Mendelsohn +2 more
semanticscholar +6 more sources
On the security of the multivariate ring learning with errors problem [PDF]
The Open Book Series, 2020 . The Multivariate Ring Learning with Errors ( m -RLWE) problem was introduced in 2015 by Pedrouzo-Ulloa, Troncoso-Pastoriza and P´erez-Gonz´alez. Instead of working over a polynomial residue ring with one variable as in RLWE, it works over a polynomial ...
Carl Bootland +2 more
exaly +5 more sources
IEEE Access, 2023 A three-party authenticated key exchange protocol enables two entities to agree on a session key with the help of a dedicated server over a public channel. Shor’s algorithm is a big threat to existing authenticated key exchange protocols.
Dharminder Chaudhary +2 more
doaj +4 more sources
Ring Learning With Errors: A crossroads between postquantum cryptography, machine learning and number theory [PDF]
Irish Mathematical Society Bulletin, 2019 The present survey reports on the state of the art of the different cryptographic functionalities built upon the ring learning with errors problem and its interplay with several classical problems in algebraic number theory.
Iván Blanco-Chacón
semanticscholar +6 more sources
Distributed Identity Authentication with Lenstra–Lenstra–Lovász Algorithm–Ciphertext Policy Attribute-Based Encryption from Lattices: An Efficient Approach Based on Ring Learning with Errors Problem [PDF]
EntropyIn recent years, research on attribute-based encryption (ABE) has expanded into the quantum domain. Because a traditional single authority can cause the potential single point of failure, an improved lattice-based quantum-resistant identity ...
Qi Yuan +6 more
doaj +3 more sources