Ring learning with errors: a crossroads between post-quantum cryptography, machine learning and number theory [PDF]
arXiv admin note: text overlap with arXiv:1508.01375 by other authors/ comment of the author: quotation has been added to Theorem 5 ...
Blanco Chacón, Iván, I. Blanco-Chacón
openaire +4 more sources
On the Security of Group Ring Learning with Errors [PDF]
We 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 samples defined over matrix rings, in half the dimension.
Andrew Mendelsohn +2 more
core +6 more sources
Post-Quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem [PDF]
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 +3 more
openaire +6 more sources
Ring Signatures Based on Middle-Product Learning with Errors Problems
Lattice-based (linkable) ring signatures are an important notion to cryptography since it protects signer anonymity against quantum computers. In this paper, we proposed a new lattice-based linkable ring signature scheme using a variant of Learning with Errors problem called Middle-Product Learning with Errors (\(\mathsf {MPLWE}\)). The proposed scheme
Dipayan Das 0001 +2 more
openaire +3 more sources
CIDER: Cyber‐Security in Industrial IoT Using Deep Learning and Ring Learning with Errors
Traditional 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 +2 more sources
Quantum delegation from fully homomorphic encryption based on Ring learning with errors [PDF]
Quantum computers will not likely be widespread and accessible to everyone in a foreseen future. Being capable of delegating quantum computation to untrusted parties while not losing condentiality would individuals to grant access to this technology. On the other hand, many current cryptography applications rely on the hardness of solving the discrete ...
Cano Aguilera, Abraham
openaire +2 more sources
Multiparty Homomorphic Encryption from Ring-Learning-with-Errors [PDF]
Abstract We propose and evaluate a secure-multiparty-computation (MPC) solution in the semi-honest model with dishonest majority that is based on multiparty homomorphic encryption (MHE). To support our solution, we introduce a multiparty version of the Brakerski-Fan-Vercauteren homomorphic cryptosystem and implement it in an open-source ...
Mouchet, Christian +3 more
openaire +2 more sources
Ring Learning With Errors - Key Exchange
Tema ovog rada je opisati kako se tajni ključevi mogu razmijeniti preko nesigurnog kanala pomoću tehnike prstenastog učenja s greškama. Prije toga opisani su potrebni algebarski pojmovi za definiciju.
Majcan, Borna
core +3 more sources
Fast Vector Oblivious Linear Evaluation from Ring Learning with Errors [PDF]
Oblivious linear evaluation (OLE) is a fundamental building block in multi-party computation protocols. In OLE, a sender holds a description of an affine function $f_α,β (z)=α z+β$, the receiver holds an input x, and gets α x+β$ (where all computations are done over some field, or more generally, a ring). Vector OLE (VOLE) is a generalization where the
de Castro, Leo +2 more
openaire +3 more sources
Compact Ring Signatures from Learning With Errors [PDF]
Ring signatures allow a user to sign a message on behalf of a ``ring\u27\u27 of signers, while hiding the true identity of the signer. As the degree of anonymity guaranteed by a ring signature is directly proportional to the size of the ring, an ...
Rohit Chatterjee +7 more
core +1 more source

