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open access: yes, 2007
Elliptic curve cryptosystems appear to offer new opportunities for public-key cryptography. In this note we provide a high-level comparison of the RSA public-key cryptosystem and proposals for public-key cryptography based on elliptic ...
Elliptic Curve Cryptosystems   +1 more
core  

Second‐Harmonic Hyper‐Mie Optical Activity Enables Closed‐Loop Chiral Photochemistry

open access: yesAdvanced Materials, EarlyView.
Nonlinear chiral photochemistry is demonstrated in CdTe/CdO nanohelices, where circularly polarized infrared light both drives and tracks photo‐oxidation via second‐harmonic scattering. This closed‐loop process reveals real‐time structural evolution, including shell fracturing and core exposure, accompanied by a transition from hyper‐Mie to hyper ...
Hoyeon Choi   +6 more
wiley   +1 more source

Supersingular Elliptic Curve Isogeny Graphs

open access: yes, 2022
As quantum computers become more and more advanced, currently standard cryptographic protocol becomes weaker. Supersingular elliptic curve isogeny graphs are a promising new direction for post-quantum cryptographic protocol.
Arpin, Sarah
core   +1 more source

Quadratic Twists of Elliptic Curves [PDF]

open access: yes, 2011
[[abstract]]Let E be an elliptic curve defined over Q, and for each square-free rational integer d, let E_d denote the the quadratic twist of E by d (in brief, the d-twist). The question concerning the rank rk(Ed(Q)) of the Mordell-Weil group E_d(Q) (the
廖宏銘, Liao, Hung-Min
core  

Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety [PDF]

open access: yes, 2010
This work is the third part of a series of papers. In the first two we considered curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian variety in general.
Viada, Evelina
core   +1 more source

Tailoring Phonon‐Driven Responses in α‐MoO3 through Isotopic Enrichment

open access: yesAdvanced Materials, EarlyView.
ABSTRACT The implementation of polaritonic materials into nanoscale devices requires selective tuning of parameters to realize desired spectral or thermal responses. One robust material, α‐MoO3, an orthorhombic crystal boasting three distinct phonon dispersions, provides three polaritonic dispersions of hyperbolic phonon polaritons (HPhPs) across the ...
Thiago S. Arnaud   +31 more
wiley   +1 more source

Elliptic Curve Cryptography with Machine Learning

open access: yesCryptography
Elliptic Curve Cryptography (ECC) is a technology based on the arithmetic of elliptic curves used to build strong and efficient cryptosystems and infrastructures. Several ECC systems, such as the Diffie–Hellman key exchange and the Elliptic Curve Digital
Jihane Jebrane   +3 more
doaj   +1 more source

Near‐Unity Chiral Lasing Enabled by Quasi‐Bound States in the Continuum

open access: yesAdvanced Materials, EarlyView.
Nanoimprinted chiral array that supports bound states in the continuum is doped with an efficient non‐chiral molecule (Rhodamine‐B) acting as gain medium to produce fully circularly polarized lasing emission. The chiral lasing wavelength can be tuned across the emission band of Rhodamine‐B by adjusting the coating thickness of the TiO2 high refractive ...
Jose Mendoza‐Carreño   +5 more
wiley   +1 more source

Energy Band Alignment and Electro‐Optical Behavior of Nearly Unstrained Monolayer MoS2 Heterostructures With GaN

open access: yesAdvanced Materials Interfaces, EarlyView.
Large size (∼100 µm) monolayer MoS2 grown by LPI‐CVD on n‐GaN exhibit a high n‐type doping, very low strain, and a type‐I band alignment at MoS2/GaN interface. Photocurrent measurements under illumination with photon energies from ∼2 to ∼5 eV show superior electro‐optical performances of these MoS2/n‐GaN heterojunctions as compared to Ni/n‐GaN devices ...
Salvatore Ethan Panasci   +12 more
wiley   +1 more source

Champion Primes For Elliptic Curves

open access: yesIntegers, 2014
See the abstract in the attached pdf.
Jason Hedetniemi, Kevin James, Hui Xue
openaire   +4 more sources

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