Results 31 to 40 of about 548 (94)

A subexponential-time, polynomial quantum space algorithm for inverting the CM group action

Journal of Mathematical Cryptology, 2020
We present a quantum algorithm which computes group action inverses of the complex multiplication group action on isogenous ordinary elliptic curves, using subexponential time, but only polynomial quantum space.
Jao David, LeGrow Jason, Leonardi Christopher, Ruiz-Lopez Luis   +3 more
doaj   +1 more source

The SQALE of CSIDH: Sublinear Vélu Quantum-resistant isogeny Action with Low Exponents [PDF]

, 2021
Recent independent analyses by Bonnetain-Schrottenloher and Peikert in Eurocrypt 2020 significantly reduced the estimated quantum security of the isogeny-based commutative group action key-exchange protocol CSIDH.
Chi-Domínguez, Jesús Javier, Jesús-Javier Chi-Domínguez, Samuel Jaques, Chávez-Saab, Jorge, Rodríguez-Henríquez, Francisco, Jaques, Samuel, Francisco Rodríguez-Henríquez, Jorge Chávez-Saab   +7 more
core   +2 more sources

Рандомізація алгоритму CSIDH на квадратичних та скручених кривих Едвардса [PDF]

, 2022
The properties of quadratic and twisted supersingular Edwards curves that form quadratic twist pairs with order over a prime field are considered. A modification of the CSIDH algorithm based on the isogenies of these curves is presented.
Бессалов, Анатолій Володимирович, Ковальчук, Людмила Васильївна, Абрамов, Сергій Вадимович   +2 more
core   +1 more source

Як побудувати CSIDH на квдратичних та скручених кривих Едвардса [PDF]

, 2022
In one of the famous works, an incorrect formulation and an incorrect solution of the implementation problem of the CSIDH algorithm on Edwards curves is discovered.
Бессалов, Анатолій Володимирович
core   +1 more source

A review of mathematical and computational aspects of CSIDH algorithms

Journal of Algebra and Its Applications, 2023
CSIDH is a post-quantum key-exchange scheme based on the action of ideal class groups on supersingular elliptic curves over prime fields. Its short keys and ciphertexts, together with its flexibility as a building block to construct complex cryptographic primitives, has motivated significant research on the efficiency of CSIDH and its resistance ...
Maino, Luciano, Mula, Marzio, Pintore, Federico   +2 more
openaire   +2 more sources

Compressed Key Exchange Protocol from Orientations of Large Discriminant Using AVX-512

Transactions on Cryptographic Hardware and Embedded Systems
CSIDH (Commutative Supersingular Isogeny Diffie–Hellman) is a classgroup- based key-exchange protocol operated on supersingular elliptic curves, which, at the time of its proposal, exhibited several attractive selling points such as noninteractivity ...
Yuhao Zheng, Jianming Lin, Yutong Liang, Yanzhen Ren, Huixin Zhang, Chang-An Zhao   +5 more
doaj   +1 more source

Efficient Commutative PQC Algorithms on Isogenies of Edwards Curves

Cryptography
The article presents the author’s works in the field of modifications and modeling of the Post-Quantum Cryptography (PQC) Commutative Supersingular Isogeny Diffie-Hellman (CSIDH) algorithm on non-cyclic supersingular Edwards curves and its predecessor ...
Anatoly Bessalov, Volodymyr Sokolov, Serhii Abramov   +2 more
doaj   +1 more source

dCTIDH: Fast & Deterministic CTIDH

Transactions on Cryptographic Hardware and Embedded Systems
This paper presents dCTIDH, a CSIDH implementation that combines two recent developments into a novel state-of-the-art deterministic implementation. We combine the approach of deterministic variants of CSIDH with the batching strategy of CTIDH, which ...
Fabio Campos, Andreas Hellenbrand, Michael Meyer, Krijn Reijnders   +3 more
doaj   +1 more source

ІНТЕГРАЦІЯ ІНТЕЛЕКТУАЛЬНИХ ТЕХНОЛОГІЙ У КОМП’ЮТЕРНИХ МЕРЕЖАХ

Кібербезпека: освіта, наука, техніка
Збільшення обсягу переданої інформації, поява нових типів пристроїв та сервісів, а також збільшення вимог до безпеки та надійності комп’ютерних мереж визначають необхідність застосовувати нові технології і нові технічні засоби.
Вадим Абрамов, Оксана Глушак, Сергій Абрамов   +2 more
doaj   +1 more source

Unveiling urban violence crime in the State of the Selangor, Kuala Lumpur and Putrajaya: a spatial–temporal investigation of violence crime in Malaysia’s key cities

Cogent Social Sciences
This study investigates the intricate relationship between violent criminal activities, temporal patterns, and land utilization across Selangor State, Kuala Lumpur Federal Territory (KLFT), and Putrajaya Federal Territory (PFT), Malaysia, spanning from ...
Azizul Ahmad, Tarmiji Masron, Yoshinari Kimura, Mohamad Hardyman Barawi, Norita Jubit, Syahrul Nizam Junaini, Mohd Sofian Redzuan, Asykal Syakinah Mohd Ali, Luqman Haqim Bismelah   +8 more
doaj   +1 more source