Results 1 to 10 of about 113 (86)
Practical Usage of Radical Isogenies for CSIDH
IEEE Access, 2023 Recently, a radical isogeny was proposed to boost commutative supersingular isogeny Diffie–Hellman (CSIDH) implementation. Radical isogenies reduce the generation of a kernel of a small prime order when implementing CSIDH.
Seokhie Hong, Donghoe Heo, Suhri Kim
exaly +5 more sources
CTIDH: Faster Constant-Time CSIDH
Iacr Transactions on Cryptographic Hardware and Embedded Systems, 2021 This paper introduces a new key space for CSIDH and a new algorithm for constant-time evaluation of the CSIDH group action. The key space is not useful with previous algorithms, and the algorithm is not useful with previous key spaces, but combining the ...
Tung Chou
exaly +9 more sources
An Efficient Post-Quantum KEM From CSIDH
Journal of Mathematical Cryptology, 2022 The SIDH and CSIDH are now the two most well-known post-quantum key exchange protocols from the supersingular isogeny-based cryptography, which have attracted much attention in recent years and served as the building blocks of other supersingular isogeny-
Mingping Qi
exaly +3 more sources
On the Performance Analysis for CSIDH-Based Cryptosystems [PDF]
Applied Sciences (Switzerland), 2020 In this paper, we present the performance and security analysis for various commutative SIDH (CSIDH)-based algorithms. As CSIDH offers a smaller key size than SIDH and provides a relatively efficient signature scheme, numerous CSIDH-based key exchange ...
Seokhie Hong, Donghoe Heo, Young-Ho Park
exaly +4 more sources
Optimized CSIDH Implementation Using a 2-Torsion Point [PDF]
Cryptography, 2020 The implementation of isogeny-based cryptography mainly use Montgomery curves, as they offer fast elliptic curve arithmetic and isogeny computation. However, although Montgomery curves have efficient 3- and 4-isogeny formula, it becomes inefficient when ...
Seokhie Hong, Kisoon Yoon, Donghoe Heo
exaly +6 more sources
Batching CSIDH Group Actions Using AVX-512
Iacr Transactions on Cryptographic Hardware and Embedded Systems, 2021 Commutative Supersingular Isogeny Diffie-Hellman (or CSIDH for short) is a recently-proposed post-quantum key establishment scheme that belongs to the family of isogeny-based cryptosystems.
Peter Roenne, Georgios Fotiadis
exaly +7 more sources
РАНДОМІЗАЦІЯ АЛГОРИТМУ CSIDH НА КВАДРАТИЧНИХ ТА СКРУЧЕНИХ КРИВИХ ЕДВАРДА
Кібербезпека: освіта, наука, техніка, 2022 Розглянуто властивості квадратичних і кручених суперсингулярних кривих Едвардса, які утворюють пари квадратичних кручень з порядком над простим полем. Розглянуто модифікацію алгоритму CSIDH на основі ізогеній непарного ступеня цих кривих.
Anatoliy Bessalov +2 more
doaj +1 more source
Complete Analysis of Implementing Isogeny-Based Cryptography Using Huff Form of Elliptic Curves
IEEE Access, 2021 In this paper, we present the analysis of Huff curves for implementing isogeny-based cryptography. In this regard, we first investigate the computational cost of the building blocks when compression functions are used for Huff curves.
Suhri Kim
doaj +1 more source
ЯК ПОБУДУВАТИ CSIDH НА КВАДРАТИЧНИХ І СКРУЧЕНИХ КРИВИХ ЕДВАРДСА
Кібербезпека: освіта, наука, техніка, 2022 В одної з відомих робіт виявлені некоректна постановка і невірне рішення задачі імплементації алгоритму CSIDH на кривих Едвардса . Дана розгорнена критика цієї роботи с доведенням неспроможності її концепції.
Anatoliy Bessalov
doaj +1 more source
A trade-off between classical and quantum circuit size for an attack against CSIDH
Journal of Mathematical Cryptology, 2020 We propose a heuristic algorithm to solve the underlying hard problem of the CSIDH cryptosystem (and other isogeny-based cryptosystems using elliptic curves with endomorphism ring isomorphic to an imaginary quadratic order 𝒪).
Biasse Jean-François +4 more
doaj +1 more source