Results 71 to 80 of about 6,385 (201)
On isogeny classes of Edwards curves over finite fields [PDF]
, 2011 We count the number of isogeny classes of Edwards curves over finite fields, answering a question recently posed by Rezaeian and Shparlinski. We also show that each isogeny class contains a {\em complete} Edwards curve, and that an Edwards curve is ...
Ahmadi, Omran, Granger, Robert
core +1 more source
Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
wiley +1 more source
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
doaj
An effective Arakelov-theoretic version of the hyperbolic isogeny theorem
, 2015 For an integer $e$ and hyperbolic curve $X$ over $\overline{\mathbb Q}$, Mochizuki showed that there are only finitely many isomorphism classes of hyperbolic curves $Y$ of Euler characteristic $e$ with the same universal cover as $X$.
Javanpeykar, Ariyan
core +1 more source
Isogeny-based post-quantum key exchange protocols [PDF]
, 2020 The goal of this project is to understand and analyze the supersingular isogeny Diffie Hellman (SIDH), a post-quantum key exchange protocol which security lies on the isogeny-finding problem between supersingular elliptic curves.
Sorinas Capdevila, Ernest
core
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
SHS Web of Conferences, 2018 The article discusses the peculiarities of the process of information routing in the course of acquisition and processing big data of digital production, including systems of traffic analysis.
Alexandrova Elena +2 more
doaj +1 more source
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi +2 more
wiley +1 more source
Constant time lattice reduction in dimension 4 with application to SQIsign
Transactions on Cryptographic Hardware and Embedded SystemsIn this paper we propose a constant time lattice reduction algorithm for integral dimension-4 lattices. Motivated by its application in the SQIsign postquantum signature scheme, we provide for the first time a constant time LLLlike algorithm with ...
Otto Hanyecz +4 more
doaj +1 more source
Fast and Frobenius: Rational Isogeny Evaluation over Finite Fields [PDF]
, 2023 Gustavo Banegas +3 more
openalex +1 more source