Results 1 to 10 of about 3,965 (252)
Isogenies on twisted Hessian curves [PDF]
Journal of Mathematical Cryptology, 2021 Elliptic curves are typically defined by Weierstrass equations. Given a kernel, the well-known VĂ©lu's formula shows how to explicitly write down an isogeny between Weierstrass curves. However, it is not clear how to do the same on other forms of elliptic
Perez Broon Fouazou Lontouo +3 more
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Orienting supersingular isogeny graphs [PDF]
Journal of Mathematical Cryptology, 2020 We introduce a category of đ-oriented supersingular elliptic curves and derive properties of the associated oriented and nonoriented â-isogeny supersingular isogeny graphs.
ColĂČ Leonardo, Kohel David
exaly +5 more sources
How to Compute an Isogeny on the Extended Jacobi Quartic Curves? [PDF]
International Journal of Electronics and Telecommunications, 2022 Computing isogenies between elliptic curves is a significant part of post-quantum cryptography with many practical applications (for example, in SIDH, SIKE, B-SIDH, or CSIDH algorithms).
Ćukasz Dzierzkowski, MichaĆ WroĆski
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CSI-Otter: isogeny-based (partially) blind signatures from the class group action with a twist. [PDF]
Des Codes CryptogrIn this paper, we construct the first provably-secure isogeny-based (partially) blind signature scheme. While at a high level the scheme resembles the Schnorr blind signature, our work does not directly follow from that construction, since isogenies do ...
Katsumata S, Lai YF, LeGrow JT, Qin L.
europepmc +2 more sources
Fast and Frobenius: Rational Isogeny Evaluation over Finite Fields [PDF]
IACR Cryptology ePrint Archive, 2023 Consider the problem of efficiently evaluating isogenies $\phi: E \to E/H$ of elliptic curves over a finite field $\mathbb{F}_q$, where the kernel $H = \langle G\rangle$ is a cyclic group of odd (prime) order: given $E$, $G$, and a point (or several ...
Gustavo Banegas +3 more
openalex +3 more sources
CSI-FiSh: Efficient Isogeny Based Signatures Through Class Group Computations
Lecture Notes in Computer Science, 2019 Frederik Vercauteren
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A classification of isogenyâtorsion graphs of Qâisogeny classes of elliptic curves
Transactions of the London Mathematical Society, 2021 Let E be a Qâisogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Qâisogeny class E, and an edge for each cyclic Qâisogeny of prime degree between elliptic curves ...
Ălvaro Lozano-Robledo
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The SQALE of CSIDH: sublinear VĂ©lu quantum-resistant isogeny action with low exponents
Journal of Cryptographic Engineering, 2021 Recent independent analyses by BonnetainâSchrottenloher and Peikert in Eurocrypt 2020 significantly reduced the estimated quantum security of the isogeny-based commutative group action key-exchange protocol CSIDH.
Samuel Jaques +1 more
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SIKEâd Up: Fast Hardware Architectures for Supersingular Isogeny Key Encapsulation
IEEE Transactions on Circuits and Systems I: Regular Papers, 2020 In this work, we present a fast parallel architecture to perform supersingular isogeny key encapsulation (SIKE). We propose and implement a fast isogeny accelerator architecture that uses fast and parallelized isogeny formulas.
Brian Koziel +2 more
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Transactions on Cryptographic Hardware and Embedded Systems, 2018 We present high-speed implementations of the post-quantum supersingular isogeny Diffie-Hellman key exchange (SIDH) and the supersingular isogeny key encapsulation (SIKE) protocols for 32-bit ARMv7-A processors with NEON support.
Hwajeong Seo +3 more
doaj +2 more sources