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Some Recent Progress in Lattice-Based Cryptography [PDF]

open access: bronze, 2009
The past decade in computer science has witnessed tremendous progress in the understanding of lattices , which are a rich source of seemingly hard computational problems. One of their most promising applications is to the design of cryptographic schemes that enjoy exceptionally strong security guarantees and other desirable properties. Most notably,
Chris Peikert
openalex   +2 more sources

Notes on Lattice-Based Cryptography [PDF]

open access: yes, 2022
Asymmetrisk kryptering er avhengig av antakelsen om at noen beregningsproblemer er vanskelige å løse. I 1994 viste Peter Shor at de to mest brukte beregningsproblemene, nemlig det diskrete logaritmeproblemet og primtallsfaktorisering, ikke lenger er ...
Budroni, Alessandro
core   +2 more sources

On Practical Discrete Gaussian Samplers for Lattice-Based Cryptography [PDF]

open access: yesIEEE Transactions on Computers, 2018
Lattice-based cryptography is one of the most promising branches of quantum resilient cryptography, offering versatility and efficiency. Discrete Gaussian samplers are a core building block in most, if not all, lattice-based cryptosystems, and optimised samplers are desirable both for high-speed and low-area applications.
James Howe   +4 more
semanticscholar   +5 more sources

Attacking and Defending Masked Polynomial Comparison for Lattice-Based Cryptography

open access: yesTransactions on Cryptographic Hardware and Embedded Systems, 2021
In this work, we are concerned with the hardening of post-quantum key encapsulation mechanisms (KEM) against side-channel attacks, with a focus on the comparison operation required for the Fujisaki-Okamoto (FO) transform.
Shivam Bhasin   +4 more
doaj   +2 more sources

Implementing Lattice-Based Cryptography [PDF]

open access: yes, 2022
The thesis is about implementation of LWE/MLWE encryption schemes in C++ and the use of the Number Theoretic Transform (NTT) in order to get faster mul- tiplication operations over certain rings.
Rodríguez Rodríguez, Alejandro Royher
core   +2 more sources

Gaussian Sampling in Lattice Based Cryptography [PDF]

open access: hybridTatra Mountains Mathematical Publications, 2014
Abstract Modern lattice-based cryptosystems require sampling from discrete Gaussian distributions. We review lattice based schemes and collect their requirements for sampling from discrete Gaussians. Then we survey the algorithms implementing such sampling and assess their practical performance.
János Folláth
openalex   +3 more sources

Time-memory trade-off in Toom-Cook multiplication: an application to module-lattice based cryptography [PDF]

open access: greenIACR Cryptology ePrint Archive, 2020
Since the introduction of the ring-learning with errors problem, the number theoretic transform (NTT) based polynomial multiplication algorithm has been studied extensively.
Jose Maria Bermudo Mera   +2 more
openalex   +2 more sources

Lattice-Based Cryptography in the Quantum Era: A Survey

open access: diamondInterfases, 2023
The advent of quantum computing reveals current classical cryptography’s incapacity to withstand attacks within the new paradigm. Quantum algorithms break such encryption with impressive ease, with Shor and Grover algorithms being the main perpetrators ...
Mauricio Cisneros, Javier Olazabal
doaj   +3 more sources

Lattice-based Cryptography for IoT in A Quantum World: Are We Ready? [PDF]

open access: greenInternational Workshop on Advances in Sensors and Interfaces, 2019
The impending realization of scalable quantum computers has led to active research in Post Quantum Cryptography (PQC). The challenge is harder for embedded IoT (edge) devices, due to their pervasive diffusion in today’s world as well as their stricter ...
Ayesha Khalid   +3 more
openalex   +2 more sources

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