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On Ideal Lattices and Learning with Errors over Rings

Journal of the ACM, 2010
The “learning with errors” (LWE) problem is to distinguish random linear equations, which have been perturbed by a small amount of noise, from truly uniform ones. The problem has been shown to be as hard as worst-case lattice problems, and in recent years it has served as the foundation for a plethora of cryptographic applications. Unfortunately, these
Vadim Lyubashevsky   +2 more
openaire   +4 more sources

Search to decision reduction for the learning with errors over rings problem

2011 IEEE Information Theory Workshop, 2011
In this short note, we give a self-contained proof of equivalence between the search and decision versions of the Learning with Error Problem over Rings problem (Lyuba-shevsky, Peikert, Regev 2010) for spherical noise distributions.
Vadim Lyubashevsky
exaly   +3 more sources

SLAP: Simpler, Improved Private Stream Aggregation from Ring Learning with Errors

Journal of Cryptology, 2023
Information or data aggregation helps in many real-life settings to acquire or improve knowledge of the problem(s) at hand, in particular nowadays in the world of overwhelming internet-based time-series data streams. In order to master the analysis of multiple-user time-series data streams while maintaining user/data holder privacy efficiently, private
Jonathan Takeshita   +3 more
openaire   +1 more source

Blockchain-based Smart Parking System using Ring Learning With Errors based Signature

2022 6th International Conference on Cryptography, Security and Privacy (CSP), 2022
Farah Afianti
exaly   +2 more sources

An Anti-Quantum Authentication Protocol for Space Information Networks Based on Ring Learning with Errors

Journal of Communications and Information Networks, 2021
With the continuous development of satellite communication and Internet of things technology, more and more devices can access space information networks (SIN) and enjoy satellite services everywhere in the world. However, due to the openness of the air-to-ground channel, the device will face a series of security threats when accessing SIN, such as ...
Junyan Guo   +3 more
openaire   +1 more source

Spectral distortion and the ring learning with errors problem

Involve, a Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babinkostova, Liljana   +4 more
openaire   +1 more source

Learning with Errors over Rings

2010
The “learning with errors” (LWE) problem is to distinguish random linear equations, which have been perturbed by a small amount of noise, from truly uniform ones. The problem has been shown to be as hard as worst-case lattice problems, and in recent years it has served as the foundation for a plethora of cryptographic applications.
openaire   +1 more source

Identity-Concealed Authenticated Encryption from Ring Learning with Errors

2019
Authenticated encryption (AE) is very suitable for a resources constrained environment for it needs less computational costs and AE has become one of the important technologies of modern communication security. Identity concealment is one of research focuses in design and analysis of current secure transport protocols (such as TLS1.3 and Google’s QUIC).
Chao Liu 0060   +3 more
openaire   +2 more sources

A Certificateless Authenticated Key Exchange Protocol Based on Ring Learning with Errors

2022 IEEE 10th Joint International Information Technology and Artificial Intelligence Conference (ITAIC), 2022
Luyao Ma, Li Li, Hongfei Yang
exaly   +2 more sources

Cryptography with the Ring-LWE (Learning With Errors) Algorithm

Jurnal Teknik Indonesia
Ring-LWE (Ring Learning With Errors) is a post-quantum cryptography algorithm based on mathematical problems in number theory and algebra. It is an extension of LWE (Learning With Errors) first introduced by Oded Regev and is used for secure data encryption from quantum computer attacks.
null Hesty Sitohang   +5 more
openaire   +1 more source

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