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Improved Plantard Arithmetic for Lattice-based Cryptography

open access: yesTransactions on Cryptographic Hardware and Embedded Systems, 2022
This paper presents an improved Plantard’s modular arithmetic (Plantard arithmetic) tailored for Lattice-Based Cryptography (LBC). Based on the improved Plantard arithmetic, we present faster implementations of two LBC schemes, Kyber and NTTRU, running ...
Junhao Huang   +6 more
doaj   +5 more sources

The Mathematical Foundation of Post-Quantum Cryptography [PDF]

open access: yesResearch
In 1994, P. Shor discovered quantum algorithms that can break both the RSA cryptosystem and the ElGamal cryptosystem. In 2007, a Canadian company D-Wave demonstrated the first quantum computer.
Chuanming Zong
doaj   +2 more sources

Exploiting the Central Reduction in Lattice-Based Cryptography [PDF]

open access: yesIEEE Access
This paper questions the side-channel security of central reduction technique, which is widely adapted in efficient implementations of Lattice-Based Cryptography (LBC).
Tolun Tosun, Amir Moradi, Erkay Savas
doaj   +4 more sources

A High-Efficiency Modular Multiplication Digital Signal Processing for Lattice-Based Post-Quantum Cryptography

open access: yesCryptography, 2023
The Number Theoretic Transform (NTT) has been widely used to speed up polynomial multiplication in lattice-based post-quantum algorithms. All NTT operands use modular arithmetic, especially modular multiplication, which significantly influences NTT ...
Trong-Hung Nguyen   +2 more
doaj   +3 more sources

New bounds of the smoothing parameter for lattices. [PDF]

open access: yesPLoS ONE
The smoothing parameter on lattices is crucial for lattice-based cryptographic design. In this study, we establish a new upper bound for the lattice smoothing parameter, which represents an improvement over several significant classical findings. For one-
Heng Guo   +3 more
doaj   +2 more sources

On Advances of Lattice-Based Cryptographic Schemes and Their Implementations

open access: yesCryptography, 2022
Lattice-based cryptography is centered around the hardness of problems on lattices. A lattice is a grid of points that stretches to infinity. With the development of quantum computers, existing cryptographic schemes are at risk because the underlying ...
Harshana Bandara   +3 more
doaj   +1 more source

R-LWE-Based Distributed Key Generation and Threshold Decryption

open access: yesMathematics, 2022
Ever since the appearance of quantum computers, prime factoring and discrete logarithm-based cryptography have been questioned, giving birth to the so-called post-quantum cryptography.
Ferran Alborch   +2 more
doaj   +1 more source

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