Results 131 to 140 of about 1,931 (172)
Chromosome-level genomes of two Bracteacoccaceae highlight adaptations to biocrusts. [PDF]
Nat CommunLiang H +13 more
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Evaluating isogenies in polylogarithmic time.
IACR Cryptol. ePrint Arch., 2022 openaire +2 more sources
Lecture Notes in Computer Science, 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,
Wouter Castryck, Fréderik Vercauteren
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Computing Supersingular Isogenies on Kummer Surfaces [PDF]
Lecture Notes in Computer Science, 2018 We apply Scholten\u27s construction to give explicit isogenies between the Weil restriction of supersingular Montgomery curves with full rational 2-torsion over $GF(p^2)$ and corresponding abelian surfaces over $GF(p)$. Subsequently, we show that isogeny-
Craig Costello
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Computing 2-Isogenies Between Kummer Lines [PDF]
IACR Communications in CryptologyInternational audienceWe use theta groups to study $2$-isogenies between Kummer lines, with a particular focus on the Montgomery model. This allows us to recover known formula, along with more efficient forms for translated isogenies, which require only $
Damien Robert, Nicolas Sarkis
exaly +5 more sources
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Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
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Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
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Efficient (3, 3)-Isogenies on Fast Kummer Surfaces
Research in Number TheoryInternational audienceWe give an alternative derivation of $(N,N)$-isogenies between fast Kummer surfaces which complements existing works based on the theory oftheta functions.
Craig Costello +2 more
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Leveled Isogeny Problems with Hints
We define and analyze the Leveled Isogeny Problem with Hints (LIPH), which is a generalization of the Isogeny Problem with Level Structure first introduced by De Feo, Fouotsa and Panny at EUROCRYPT’24. In a LIPH instance, we are tasked to recover a secret isogeny φ$$\varphi $$ given masked torsion point images M·(φ(P),φ(Q))⊤$$M\cdot (\varphi (P ...Subham Das +3 more
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