Results 11 to 20 of about 3,965 (252)
Ghosts and families of abelian varieties with a common isogeny factor
Journal of the European Mathematical Society (Print)Let S be an integral variety over a finitely generated field k , with generic point \eta , and A\rightarrow S an abelian scheme.
Anna Cadoret, Akio Tamagawa
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IEEE Access, 2021 Since the introduction of the Supersingular isogeny Diffie–Hellman (SIDH) key exchange protocol by Jao and de Feo in 2011, it and its variation (SIKE) have gained significant attention as a promising candidate for post-quantum cryptography (PQC ...
Seog Chung Seo
exaly +3 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
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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
Optimal Strategies for Computation of Degree ℓn Isogenies for SIDH [PDF]
International Journal of Electronics and Telecommunications, 2020 This article presents methods and algorithms for the computation of isogenies of degree ℓn. Some of these methods are obtained using recurrence equations and generating functions.
Michał Wroński, Andrzej Chojnacki
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The supersingular isogeny path and endomorphism ring problems are equivalent [PDF]
IEEE Annual Symposium on Foundations of Computer Science, 2021 We prove that the path-finding problem in isogeny graphs and the endomorphism ring problem for supersingular elliptic curves are equivalent under reductions of polynomial expected time, assuming the generalised Riemann hypothesis.
B. Wesolowski
semanticscholar +1 more source
Hidden Stabilizers, the Isogeny To Endomorphism Ring Problem and the Cryptanalysis of pSIDH [PDF]
IACR Cryptology ePrint Archive, 2023 The Isogeny to Endomorphism Ring Problem (IsERP) asks to compute the endomorphism ring of the codomain of an isogeny between supersingular curves in characteristic $p$ given only a representation for this isogeny, i.e.
Mingjie Chen +5 more
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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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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
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Torsion point attacks on ‘SIDH‐like’ cryptosystems
IET Information Security, 2023 Isogeny‐based cryptography is a promising approach for post‐quantum cryptography. The best‐known protocol following that approach is the supersingular isogeny Diffie–Hellman protocol (SIDH); this protocol was turned into the CCA‐secure key encapsulation ...
Péter Kutas, Christophe Petit
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