The Hardness of LWE and Ring-LWE: A Survey. [PDF]
The Learning with Errors (LWE) problem consists of distinguishing linear equations with noise from uniformly sampled values. LWE enjoys a hardness reduction from worst-case lattice problems, which are believed to be hard for classical and quantum ...
David Balbás
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Practical CCA2-Secure and Masked Ring-LWE Implementation
During the last years public-key encryption schemes based on the hardness of ring-LWE have gained significant popularity. For real-world security applications assuming strong adversary models, a number of practical issues still need to be addressed.
Tobias Oder +3 more
doaj +5 more sources
A Post-Quantum Public-Key Signcryption Scheme over Scalar Integers Based on a Modified LWE Structure [PDF]
To ensure confidentiality and integrity in the era of quantum computing, most post-quantum cryptographic schemes are designed to achieve either encryption or digital signature functionalities separately.
Mostefa Kara +3 more
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Efficient Homomorphic Conversion Between (Ring) LWE Ciphertexts [PDF]
In the past few years, significant progress on homomorphic encryption (HE) has been made toward both theory and practice. The most promising HE schemes are based on the hardness of the Learning With Errors (LWE) problem or its ring variant (RLWE). In this work, we present new conversion algorithms that switch between different (R)LWE-based HE schemes ...
Hao Chen 0030 +3 more
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Quantum-resilient and adaptive multi-region data aggregation for IoMT using zero-knowledge proofs and edge intelligence [PDF]
The Internet of Medical Things (IoMT) transforms healthcare by enabling real-time monitoring of patient vitals, such as heart rate and glucose levels, but faces significant challenges in securing sensitive data against cyber threats and ensuring ...
Soufiane Ben Othman, Gyanendra Kumar
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A Blockchain Copyright Protection Scheme Based on CP-ABE Scheme with Policy Update [PDF]
Although the copyright protection schemes supported by blockchain have significantly changed traditional copyright data management, there are still some data security challenges that cannot be ignored, especially the secure access and controllable ...
Jian Jiang +3 more
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Limits on the Efficiency of (Ring) LWE Based Non-interactive Key Exchange
Making non-interactive an interactive protocol, i.e. achieving the security goal in a single-round communication, is a common practice in the realm of public key cryptography. A practice that, at the time of writing, does not seem apply to key-exchange protocols based on the learning with errors problem (LWE), where all protocols are interactive.
Siyao Guo 0001 +3 more
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Order-LWE and the Hardness of Ring-LWE with Entropic Secrets [PDF]
We propose a generalization of the celebrated Ring Learning with Errors (RLWE) problem (Lyubashevsky, Peikert and Regev, Eurocrypt 2010, Eurocrypt 2013), wherein the ambient ring is not the ring of integers of a number field, but rather an order (a full rank subring).
Bolboceanu, Madalina +3 more
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Reduction From Module-SIS to Ring-SIS Under Norm Constraint of Ring-SIS
Lattice-based cryptographic scheme is constructed based on hard problems on a lattice such as the short integer solution (SIS) problem and the learning with error (LWE).
Zahyun Koo, Jong-Seon No, Young-Sik Kim
doaj +1 more source
Towards an efficient LWE‐based fully homomorphic encryption scheme
The security of most early fully homomorphic encryption schemes was based on the hardness of the Learning with Errors (LWE) problem. These schemes were inefficient in terms of per gate computations and public‐key size.
Uddipana Dowerah +1 more
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