Results 11 to 20 of about 356 (107)
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.
Donghoe Heo, Suhri Kim, Seokhie Hong
exaly +5 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 ...
Donghoe Heo, Suhri Kim, Kisoon Yoon
exaly +7 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 ...
Donghoe Heo, Suhri Kim, Young-Ho Park
exaly +5 more sources
CTIDH: faster constant-time CSIDH
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 ...
Gustavo Banegas +7 more
doaj +8 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
A Faster Way to the CSIDH [PDF]
Lecture Notes in Computer Science, 2018 Recently Castryck, Lange, Martindale, Panny, and Renes published CSIDH, a new key exchange scheme using supersingular elliptic curve isogenies. Due to its small key sizes, and the possibility of a non-interactive and a static-static key exchange, CSIDH ...
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Batching CSIDH Group Actions using AVX-512
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.
Hao Cheng +4 more
doaj +5 more sources
How to Construct CSIDH on Edwards Curves [PDF]
Lecture Notes in Computer Science, 2020 CSIDH is an isogeny-based key exchange protocol proposed by Castryck, Lange, Martindale, Panny, and Renes in 2018. CSIDH is based on the ideal class group action on p-isomorphism classes of Montgomery curves. In order to calculate the class group action,
Tomoki Moriya, Hiroshi Onuki
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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 +3 more sources
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).
Jean-François Biasse +2 more
exaly +3 more sources