Results 91 to 100 of about 2,536,804 (344)
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
doaj +1 more source
Bilinear recurrences and addition formulae for hyperelliptic sigma functions [PDF]
, 2005 The Somos 4 sequences are a family of sequences satisfying a fourth order bilinear recurrence relation. In recent work, one of us has proved that the general term in such sequences can be expressed in terms of the Weierstrass sigma function for an ...
Victor Z Enolskii +11 more
core +1 more source
Chirality and Organization of Adsorbates Modify Surface Phonon Dynamics
Advanced Functional Materials, EarlyView.Chirality and molecular organization are shown to influence surface phonon dynamics in gold films. Time‐resolved Joule heating measurements reveal that ordered homochiral monolayers increase the Debye temperature and disordered layers reduce it, while ordered racemic controls have no effect.
Meital Ozeri +6 more
wiley +1 more source
Faster Complete Addition Laws for Montgomery Curves
Transactions on Cryptographic Hardware and Embedded SystemsAn 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 +2 more
doaj +1 more source
On Arithmetic Progressions on Elliptic Curves [PDF]
Experimental Mathematics, 1999 We study arithmetic progressions in the x-coordinates of rational points on elliptic curves. An infinite family of elliptic curves is found, each containing an arithmetic progression of length 8.
openaire +2 more sources
Sigma function solution of the initial value problem for Somos 5 sequences [PDF]
, 2007 The Somos 5 sequences are a family of sequences defined by a fifth order bilinear recurrence relation with constant coefficients. For particular choices of coefficients and initial data, integer sequences arise.
Hone, Andrew N.W.
core +1 more source
Advanced Functional Materials, EarlyView.An original method is presented for producing artificial spider silk fibers with magnetic and magnetomechanical responsiveness, which consists in coating them with a nanometer‐thick layer of FeCo alloy by sputtering deposition. The challenge of combining organic materials and inorganic magnetic nanostructures is addressed, thus taking a step forward ...
Filippo Lanaro +5 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
The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One [PDF]
, 2015 Let $E/\mathbb{Q}$ be a semistable elliptic curve such that $\mathrm{ord}_{s=1}L(E,s) = 1$. We prove the $p$-part of the Birch and Swinnerton-Dyer formula for $E/\mathbb{Q}$ for each prime $p \geq 5$ of good reduction such that $E[p]$ is irreducible: $$ \
Dimitar Jetchev, C. Skinner, X. Wan
semanticscholar +1 more source
Near‐Infrared Light‐Driven Zn/Au Janus Micromotors for Multiplex SERS Detection of Anticancer Drugs
Advanced Functional Materials, EarlyView.Zn/Au Janus micromotors, propelled by thermophoretic effects under NIR light, function as active SERS platforms for single and multiplex detection of anticancer drugs. Their dynamic motion enhances analyte exchange at the Au interface, reducing saturation and competitive adsorption, thereby improving sensitivity and extending the linear detection range.
Tijana Maric +8 more
wiley +1 more source