Results 51 to 60 of about 117,996 (268)
On the Search for Supersingular Elliptic Curves and Their Applications
MathematicsElliptic curves with the special quality known as supersingularity have gained much popularity in the rapidly developing field of cryptography. The conventional method of employing random search is quite ineffective in finding these curves.
Ismel Martinez-Diaz +2 more
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Local diophantine properties of modular curves of $\cal{D}$-elliptic sheaves [PDF]
, 2010 We study the existence of rational points on modular curves of $\cal{D}$-elliptic sheaves over local fields and the structure of special fibres of these curves.
Papikian, Mihran
core
Advanced Functional Materials, EarlyView.This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger +10 more
wiley +1 more source
An exploration of affine group laws for elliptic curves
Journal of Mathematical Cryptology, 2011 Several forms of elliptic curves are suggested for an efficient implementation of Elliptic Curve Cryptography. However, a complete description of the group law has not appeared in the literature for most popular forms.
Hisil Huseyin +3 more
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3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries
Advanced Functional Materials, EarlyView.Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling +7 more
wiley +1 more source
Mathematics, 2017 In this article, we show how to use the first and second Minkowski Theorems and some Diophantine geometry to bound explicitly the height of the points of rank N - 1 on transverse curves in E N , where E is an elliptic curve without Complex
Evelina Viada
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Magnetic Force Microscopy Signatures of Higher‐Order Skyrmions and Antiskyrmions
Advanced Functional Materials, EarlyView.Magnetic force microscopy operated under vacuum conditions enables the qualitative identification of higher‐order skyrmions and antiskyrmions in Co/Ni multilayers at room temperature. Distinct stray‐field contrast signatures arise from vertical Bloch lines and complex domain‐wall configurations.
Sabri Koraltan +8 more
wiley +1 more source
Average Analytic Ranks of Elliptic Curves over Number Fields
Forum of Mathematics, SigmaWe give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
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Application of mathematical optimization in elliptic curve arithmetic
Безопасность информационных технологий, 2017 Currently, a lot of standardized elliptic curve cryptographic algorithms are widely used. Due to the constantly increasing execution speed demands, implementation optimization problem become actual.
Alexander Igorevich Skripko +1 more
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Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source