Results 81 to 90 of about 2,244,879 (350)
Elliptic Curves - an Introduction [PDF]
Irish Mathematical Society Bulletin, 2007 Elliptic curves – an introduction ...
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Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties
Advanced Functional Materials, EarlyView.This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari +8 more
wiley +1 more source
Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
Journal of Mathematical Cryptology, 2011 We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main technical idea in our scheme is that we transmit the images of torsion bases
L. D. Feo, David Jao, Jérôme Plût
semanticscholar +1 more source
On hashing into elliptic curves [PDF]
Journal of Mathematical Cryptology, 2009 We study the hash function from a finite field 𝔽q into an elliptic curve over 𝔽q which has recently been introduced by T. Icart. In particular we slightly adjust and prove the asymptotic formula conjectured by T. Icart for the image size of this function.
José Felipe Voloch +2 more
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Formation of 2D Electron Gas at a Non‐Polar Perovskite Oxide Interface: SrHfO3/BaSnO3
Advanced Functional Materials, EarlyView.Through experiments and Poisson‐Schrödinger simulations, 2D electron gas formed at the non‐polar SrHfO3/BaSnO3 interface is observed. A large conduction band offset enables modulation doping by the intrinsic deep donors in SrHfO3, resulting in carrier confinement in BaSnO3 without relying on interfacial polarization or termination‐layer engineering ...
Jongkyoung Ko +5 more
wiley +1 more source
On the stratification by X-ranks of a linearly normal elliptic curve X ⊂ P^n
Le Matematiche, 2015 Let X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal cardinality of a set S ⊂ X such that P in \langle S \rangle.In this paper we give an almost complete description of the stratification of P^n given by the X ...
Edoardo Ballico
doaj
Protecting ECC Against Fault Attacks: The Ring Extension Method Revisited
Journal of Mathematical Cryptology, 2020 Due to its shorter key size, elliptic curve cryptography (ECC) is gaining more and more popularity. However, if not properly implemented, the resulting cryptosystems may be susceptible to fault attacks.
Joye Marc
doaj +1 more source
Bilinear pairings on elliptic curves [PDF]
L’Enseignement Mathématique, 2016 We give an elementary and self-contained introduction to pairings on elliptic curves over finite fields. The three different definitions of the Weil pairing that can be found in the literature are stated and proved to be equivalent using Weil reciprocity. Pairings with shorter loops, such as the ate, ate _i
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Advanced Functional Materials, EarlyView.This study presents a Ti3C2Tx MXene/WPU nacre‐mimetic nanomaterial as a printable ink for direct‐write printing onto textiles‐based sensors. The resulting wearable device demonstrates high sensitivity, biocompatibility, and mechanical strength. Furthermore, NFC‐enabled humidity sensor produces time‐series data, which informs a machine learning ...
Lulu Xu +6 more
wiley +1 more source
Murmurations of Elliptic Curves
Experimental Mathematics27 pages, 16 figures, 2 ...
He, Yang-Hui +3 more
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