Results 131 to 140 of about 699,908 (302)
Safe curves for elliptic-curve cryptography
This paper surveys interactions between choices of elliptic curves and the security of elliptic-curve cryptography. Attacks considered include not just discrete-logarithm computations but also attacks exploiting common implementation pitfalls.
Bernstein, Daniel J., Lange, Tanja
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Advanced Materials, EarlyView.A giant insulator to metal transition and emergent superparamagnetism are revealed by nanoparticle exsolution in non‐stoichiometric titanate perovskite thin films. By combining transport, synchrotron spectroscopy, and first‐principles calculations, this work reveals how defect reconfiguration and lattice reconstruction fundamentally reshape electronic ...
Sungil Kim +11 more
wiley +1 more source
Reconfigurable Ferroelectric‐Like Two‐Dimensional Electron Gas at Room Temperature
Advanced Materials, EarlyView.We demonstrate the realization of a novel ferroelectric‐like two‐dimensional electron gas (2DEG) based on the epitaxial interface between SrO‐terminate SrTiO3 and ferroeletric KNb0.5Na0.5O3${\rm KNb}_{0.5}{\rm Na}_{0.5}{\rm O}_3$ thin films. We show nonvolatile control of the transport properties enabling spatially reconfigurable devices in which ...
Martando Rath +16 more
wiley +1 more source
Mestre's Finite Field Method for Searching Elliptic Curves with High Ranks
Journal of New TheoryThe theory of elliptic curves is one of the popular topics of recent times with its unsolved problems and interesting conjectures. In 1922, Mordell proved that the group of $\mathbb{Q}$-rational points on an elliptic curve is finitely generated ...
Şeyda Dalkılıç, Ercan Altınışık
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On isogenies of elliptic curves
Glasnik matematički, 2000 We give a characterization of ellptic curves which are isogenous over two different quadratic extensions of a fixed number field.
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Advanced Materials, EarlyView.This review examines passive, active, and hybrid liquid manipulation strategies, highlighting hybrid approaches as an emerging route to reconcile energy efficiency with adaptive control. By actively reconstructing passive surfaces to store programmable interfacial energy, hybrid systems enable flexible yet low‐power liquid transport, with perspectives ...
Jiaqi Miao +3 more
wiley +1 more source
Transactions of the London Mathematical Society, 2019 Recently, there has been much interest in studying the torsion subgroups of elliptic curves base‐extended to infinite extensions of Q. In this paper, given a finite group G, we study what happens with the torsion of an elliptic curve E over Q when ...
Harris B. Daniels +2 more
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Nano‐Architected Metallic Metamaterial With Enhanced Fatigue Resistance via Dislocation Starvation
Advanced Materials, EarlyView.Nanoscale Ni single crystals exhibit remarkable fatigue resistance over an order of magnitude higher than that of bulk single crystals through dislocation starvation. By translating this mechanism into geometric nano‐architecture, nano‐architected Ni single‐crystal metamaterials achieve about twice the fatigue resistance of the bulk, despite their ...
Kota Sugisaka +7 more
wiley +1 more source
Computing all integer solutions of a genus 1 equation [PDF]
The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
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