Results 111 to 120 of about 10,181 (241)
Isogeny graphs and Isogeny Volcanoes
, 2020 \textit{Isogeny graphs} are a type of graphs, where the vertices represent elliptic curves and the edges represent isogenies. I will examine some of the structures of these graphs in this thesis. It turns out that the majority of the components of such a graph will be \textit{volcanoes}, see \cref{defn:pvolcano}.
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Verifiable Delay Function and Its Blockchain-Related Application: A Survey. [PDF]
Sensors (Basel), 2022 Wu Q, Xi L, Wang S, Ji S, Wang S, Ren Y.
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Families of elliptic curves with rational 3-torsion
Journal of Mathematical Cryptology, 2012 In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of -isogeny classes
Moody Dustin, Wu Hongfeng
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Towards Green Computing Oriented Security: A Lightweight Postquantum Signature for IoE. [PDF]
Sensors (Basel), 2021 Rani R +7 more
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Dual Isogenies and Their Application to Public-Key Compression for Isogeny-Based Cryptography
, 2019 The isogeny-based protocols SIDH and SIKE have received much attention for being post-quantum key agreement candidates that retain relatively small keys. A recent line of work has proposed and further improved compression of public keys, leading to the inclusion of public-key compression in the SIKE proposal for Round 2 of the NIST Post-Quantum ...
Naehrig, M., Renes, J.
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Formal groups and the isogeny theorem
Duke Mathematical Journal, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Poonen's question concerning isogenies between Smart's genus 2 curves [PDF]
, 1999 Paul van Wamelen
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On Isogenis of Elliptic curves
Glasnik matematički, 2000 The necessary and sufficient conditions for elliptic curves over number field to be isogenous over two different quadratic extensions are done.
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On the Parallelization of Square-Root Vélu’s Formulas
Mathematical and Computational ApplicationsA primary challenge in isogeny-based cryptography lies in the substantial computational cost associated to computing and evaluating prime-degree isogenies.
Jorge Chávez-Saab +2 more
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