Results 61 to 70 of about 117,996 (268)

Faster Complete Addition Laws for Montgomery Curves

Transactions on Cryptographic Hardware and Embedded Systems
An addition law for an elliptic curve is complete if it is defined for all possible pairs of input points on the elliptic curve. In Elliptic Curve Cryptography (ECC), a complete addition law provides a natural protection against side-channel attacks ...
Reza Rezaeian Farashahi, Mojtaba Fadavi, Soheila Sabbaghian   +2 more
doaj   +1 more source

On hashing into elliptic curves

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.
Farashahi Reza R., Shparlinski Igor E., Voloch José Felipe   +2 more
doaj   +1 more source

Counting elliptic curves of bounded Faltings height

, 2016
We give an asymptotic formula for the number of elliptic curves over $\mathbb{Q}$ with bounded Faltings height. Silverman has shown that the Faltings height for elliptic curves over number fields can be expressed in terms of modular functions and the ...
Hortsch, Ruthi
core   +1 more source

Mechanoregulatory Effects of Cell‐Scale Microwells on Epithelial Cell Phenotype

Advanced Functional Materials, EarlyView.
In small polycaprolactone microwells, A549 epithelial cells span well edges, in contrast to cells growing on flat substrates. Focal adhesion sites (yellow) concentrate at topographic boundaries, while cytoskeletal tension (magenta stress fibers) is transmitted to the nucleus (blue), reducing nuclear sphericity.
Ruiwen He, Wang Sik Lee, Phattadon Yajan, Aaron Lee, Mauro Sousa de Almeida, Sandeep Keshavan, Jozef Adamcik, Céline Loussert‐Fonta, Dimitri Vanhecke, Barbara Rothen‐Rutishauser, Alke Petri‐Fink   +10 more
wiley   +1 more source

Heuristics on pairing-friendly elliptic curves

Journal of Mathematical Cryptology, 2012
We present a heuristic asymptotic formula as for the number of isogeny classes of pairing-friendly elliptic curves over prime fields with fixed embedding degree , with fixed discriminant, with rho-value bounded by a fixed such that , and with prime ...
Boxall John
doaj   +1 more source

Bio‐Inspired Magnetically Tunable Structural Colors from Elliptical Self‐Assembled Block Copolymer Microparticles

Advanced Functional Materials, EarlyView.
Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta, Simone Bertucci, Jose Mendoza‐Carreño, Agustín Mihi, Paola Lova, Davide Comoretto, Ullrich Steiner, Marco Lattuada, Andrea Dodero   +8 more
wiley   +1 more source

Efficient arithmetic on subfield elliptic curves over small finite fields of odd characteristic

Journal of Mathematical Cryptology, 2010
In elliptic curve cryptosystems, scalar multiplications performed on the curves have much effect on the efficiency of the schemes, and many efficient methods have been proposed. In particular, recoding methods of the scalars play an important role in the
Hakuta Keisuke, Sato Hisayoshi, Takagi Tsuyoshi   +2 more
doaj   +1 more source

Notes on the Parity Conjecture

, 2012
This is an expository article, based on a lecture course given at CRM Barcelona in December 2009. The purpose of these notes is to prove, in a reasonably self-contained way, that finiteness of the Tate-Shafarevich group implies the parity conjecture for ...
Dokchitser, Tim
core   +1 more source

Understanding the Role of Superhydrophobicity and Superhydrophilicity in Salt‐Spray Corrosion of Nanosecond Pulsed Laser‐Textured AA2024 Alloy

Advanced Functional Materials, EarlyView.
Nanosecond pulse laser texturing yields superhydrophobic and superhydrophilic AA2024 surfaces. Salt‐spray tests show that periodic superhydrophobic patterns suppress pitting, whereas superhydrophilic textures enhance it, linking laser‐induced morphology, wettability, and oxide chemistry to corrosion resistance.
Lis Geraldine Zschach, Robert Baumann, Eric Pohl, Angelika Wrzesińska‐Lashkova, Marcelo Sallese, Ignacio Tabares, Herman Heffner, Yana Vaynzof, Andrés Fabián Lasagni   +8 more
wiley   +1 more source

Moments of the critical values of families of elliptic curves, with applications

, 2007
We make conjectures on the moments of the central values of the family of all elliptic curves and on the moments of the first derivative of the central values of a large family of positive rank curves.
Bektemirov, Birch, Breuil, Conrey, Conrey, Conrey, Gradshteyn, Keating, Knapp, Matthew P. Young, Miller, Schoof, Selberg, Taylor, Watkins, Wiles, Young   +16 more
core   +1 more source