Results 11 to 20 of about 1,931 (172)
IACR Cryptol. ePrint Arch., 2021 We argue that for all integers $N \geq 2$ and $g \geq 1$ there exist multiradical isogeny formulae, that can be iteratively applied to compute $(N^k, \ldots, N^k)$-isogenies between principally polarized $g$-dimensional abelian varieties, for any value
Castryck, Wouter, Decru, Thomas
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Isogenies on Kummer Surfaces [PDF]
Mathematics of ComputationWe first give a cleaner and more direct approach to the derivation of the Fast model of the Kummer surface. We show how to construct efficient ( N ,
Corte-Real Santos, M, Flynn, EV
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Digital Signature in Class Group of Isogenies Elliptic Curves
Безопасность информационных технологий, 2010 Digital signature protocol based on Schnorr protocol is proposed. Protection against quantum attacks is achieved by using isogenies computation problem.
J. V. Gel, A. G. Rostovtsev
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Comptes Rendus. MathématiqueIn this paper, we apply Tsuzuki’s main theorem in [12] to establish a criterion for when two abelian varieties over a function field $K$ of characteristic $p$ are isogenous. Specifically, assuming that their endomorphism algebras tensored with $\mathbb{Q}
Chiarellotto, Bruno, Trihan, Fabien
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On the Efficient Representation of Isogenies
We survey different (efficient or not) representations of isogenies, with a particular focus on the recent "higher dimensional" isogeny representation, and algorithms to manipulate them.
Robert, Damien
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Computing isogenies between finite Drinfeld modules [PDF]
, 2022 International audienceWe prove that isogenies between Drinfeld modules over a finite field can be computed in polynomial time.
Wesolowski, Benjamin +1 more
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Radical Isogenies on Montgomery Curves [PDF]
, 2021 We work on some open problems in radical isogenies. Radical isogenies are formulas to compute chains of $N$-isogenies for small $N$ and proposed by Castryck, Decru, and Vercauteren in Asiacrypt 2020.
Tomoki Moriya, Hiroshi Onuki
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Fast computation of 2-isogenies in dimension 4 and cryptographic applications [PDF]
Dimension 4 isogenies have first been introduced in cryptography for the cryptanalysis of Supersingular Isogeny Diffie-Hellman (SIDH) and have been used constructively in several schemes, including SQIsignHD, a derivative of SQIsign isogeny based ...
Dartois, Pierrick
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Proving knowledge of isogenies: a survey
Designs, Codes and Cryptography, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ward Beullens +3 more
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Horizontal racewalking using radical isogenies [PDF]
, 2022 We address three main open problems concerning the use of radical isogenies, as presented by Castryck, Decru and Vercauteren at Asiacrypt 2020, in the computation of long chains of isogenies of fixed, small degree between elliptic curves over finite ...
Wouter Castryck +3 more
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