Results 91 to 100 of about 4,574 (262)
COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
Forum of Mathematics, Sigma, 2016 Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
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Advanced Materials, EarlyView.ABSTRACT Microneedle arrays (MNAs) is a rapidly emerging technology with broad biomedical applications in drug delivery and biosensing. With sub‐millimeter dimensions and periodicity, MNAs possess geometries nearly ideal for biomedical devices operating within the terahertz (THz) spectral window.
Sang Hyun Lee +6 more
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Miniature Soft Robot With Magnetically Reprogrammable Surgical Functions
Advanced Materials, EarlyView.Miniature soft robots have great prospects to revolutionize minimally invasive treatments. Here we present a miniature soft robot, which can be reprogrammed to perform five surgical functionalities with six‐degrees‐of‐freedom motions. This soft robot can prospectively make minimally invasive surgery considerably safer and painless, and enable ...
Chelsea Shan Xian Ng +4 more
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Symmetry Arguments for Edwards Elliptic Curves
MathematicsWe revisit Edwards normal form for elliptic curves, and show how elementary symmetry arguments lead to a more general expression for his addition formula on these curves.
Stephen Andryc, Joel Langer
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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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Champion Primes For Elliptic Curves
Integers, 2014 See the abstract in the attached pdf.
Jason Hedetniemi, Kevin James, Hui Xue
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Gate‐Tunable Floquet Weyl Photon Emission from Topological Dirac Semimetal Cd3As2
Advanced Materials, EarlyView.We report experimental demonstration of Floquet band engineering in a 3D Dirac semimetal. Circularly polarized light breaks the time reversal symmetry and transforms Cd3As2 into a Floquet–Weyl phase, splitting Dirac nodes into chirality‐opposite Weyl nodes with nonzero Berry curvature.
Sobhan Subhra Mishra +4 more
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CLEI Electronic JournalCryptography based on elliptic curves is endowed with efficient methods for public-key cryptography. Recent research has shown the superiority of the Montgomery and Edwards curves over the Weierstrass curves as they require fewer arithmetic operations ...
Armando Faz Hernandez, Julio López
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Generating Unconventional Spin‐Orbit Torques With Patterned Phase Gradients in Tungsten Thin Films
Advanced Materials, EarlyView.ABSTRACT A key aim in spintronics is to achieve current‐induced magnetization switching via spin‐orbit torques without external magnetic fields. For this, the focus of recent work has been on introducing controlled lateral gradients across ferromagnet/heavy‐metal devices, giving variations in thickness, composition, or interface quality.
Lauren J. Riddiford +9 more
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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
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