Results 1 to 10 of about 289 (181)
Orienting supersingular isogeny graphs
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
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
doaj +2 more sources
The Genetic Factors Controlling the Accumulation of Amylase/Trypsin Inhibitors (ATIs) in Barley for Enhancing Human Nutrition and Health. [PDF]
Food Sci NutrATIs in cereal seeds link to celiac disease, asthma, and immune response. Here, we report the first study exploring genetic factors affecting ATI levels in barley. GWAS identified multiple QTNs influencing ATI accumulation with notable variation. Eight QTNs are associated with lower ATI levels; a key gene was identified.
Alomari DZ +8 more
europepmc +2 more sources
Journal of High Energy Physics, 2021 AbstractWe consider the genus-one curves which arise in the cuts of the sunrise and in the elliptic double-box Feynman integrals. We compute and compare invariants of these curves in a number of ways, including Feynman parametrization, lightcone and Baikov (in full and loop-by-loop variants).
Frellesvig, Hjalte +3 more
openaire +6 more sources
Optimal Strategies for Computation of Degree ân Isogenies for SIDH [PDF]
International Journal of Electronics and Telecommunications, 2020 This article presents methods and algorithms for the computation of isogenies of degree ân. Some of these methods are obtained using recurrence equations and generating functions.
MichaĆ WroĆski, Andrzej Chojnacki
doaj +1 more source
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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, 2020 sponsorship: This work was supported in part by the Research Council KU Leuven grants C14/18/067 and STG/17/019, by CyberSecurity Research Flanders with reference number VR20192203, and by the Research Foundation Flanders (FWO) through the WOG Coding Theory and Cryptography. (Research Council KU Leuven|C14/18/067, Research Council KU Leuven|STG/17/019,
Castryck, Wouter +2 more
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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 ...
Garen Chiloyan, Ălvaro LozanoâRobledo
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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
doaj +1 more source
Torsion point attacks on âSIDHâlikeâ cryptosystems
IET Information Security, 2023 Isogenyâbased cryptography is a promising approach for postâquantum cryptography. The bestâknown protocol following that approach is the supersingular isogeny DiffieâHellman protocol (SIDH); this protocol was turned into the CCAâsecure key encapsulation ...
PĂ©ter Kutas, Christophe Petit
doaj +1 more source