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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, Juan Ramón Troncoso-Pastoriza, Nicolas Gama, Mariya Georgieva, Fernando Pérez-González   +4 more
doaj   +5 more sources

A Construction of Three Party Post Quantum Secure Authenticated Key Exchange Using Ring Learning With Errors and ECC Cryptography

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, Uddeshaya Kumar, Kashif Saleem   +2 more
doaj   +4 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]

Entropy (Basel)
In 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 ...
Yuan Q, Yuan H, Zhao J, Zhou M, Shao Y, Wang Y, Zhao S.   +6 more
europepmc   +4 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   +2 more sources

Ring Learning With Errors: A crossroads between postquantum cryptography, machine learning and number theory [PDF]

Irish Mathematical Society Bulletin, 2020
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.
Chacón, Iván Blanco
core   +4 more sources

Using Ring Learning with Errors Problem to Construct Linkable Ring Signature Scheme

Jisuanji kexue yu tansuo, 2020
In order to solve the problem of large key size and low efficiency in the linkable ring signature scheme on lattice, this paper reconstructs the linkable ring signature scheme from lattice based on the ring learning with errors (RLWE) problem, according ...
YE Qing, WANG Wenbo, LI Yingying, QIN Panke, ZHAO Zongqu, WANG Yongjun
doaj   +2 more sources

CIDER: Cyber‐Security in Industrial IoT Using Deep Learning and Ring Learning with Errors

IET Cyber-Physical Systems
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

Vascular age estimation using a consumer wearable sleep tracker. [PDF]

PLOS Digit Health
Vascular aging is traditionally assessed using a combination of clinical markers, blood pressure and arterial stiffness measurement. However, measuring vascular aging with reference equipment is costly and not scalable.
Yilmaz G, Ghorbani S, Ong JL, Golkashani HA, Zhang C, Yeo BTT, Chee MWL.   +6 more
europepmc   +2 more sources

Implementation of Ring Learning-with-Errors Encryption and Brakerski–Fan–Vercauteren Fully Homomorphic Encryption Using ChatGPT

Computers
This paper investigates whether ChatGPT, a large language model, can assist in the implementation of lattice-based cryptography and fully homomorphic encryption algorithms, specifically the Ring Learning-with-Errors encryption scheme and the Brakerski ...
Zhigang Chen, Xinxia Song, Liqun Chen, Hai Liu   +3 more
doaj   +2 more sources

Multiparty Homomorphic Encryption from Ring-Learning-with-Errors [PDF]

Proceedings on Privacy Enhancing Technologies, 2021
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 ...
Christian Mouchet, Juan Troncoso-Pastoriza, Jean-Philippe Bossuat, Jean-Pierre Hubaux   +3 more
openaire   +1 more source