Results 91 to 100 of about 699,908 (302)
Heights on elliptic curves over number fields, period lattices, and complex elliptic logarithms [PDF]
This thesis presents some major improvements in the following computations: a lower bound for the canonical height, period lattices, and elliptic logarithms.
Thongjunthug, Thotsaphon
core
Comparison between the RSA cryptosystem and elliptic curve cryptography [PDF]
, 2010 In the globalization era, cryptography becomes more popular and powerful; in fact it is very important in many areas (i.e. mathematics, computer science, networks, etc).
Abdullah, Kamilah
core
Parallelizing pairings on Hessian elliptic curves
Arab Journal of Mathematical Sciences, 2019 This paper considers the computation of the Ate pairing on the Hessian model of elliptic curves. Due to the many important properties making the model attractive in cryptography, we compute for the first time the Ate pairing on this model and show how ...
Emmanuel Fouotsa
doaj +1 more source
Interaction‐Driven Assembly Pathways in Heterogeneous Active Microrobotic Systems
Advanced Functional Materials, EarlyView.Peanut‐ and cube‐shaped light‐powered microrobots exhibit distinct magnetic and photocatalytic responses that determine their heterogeneous self‐assembly. In the dark, magnetic dipole interactions drive colloidal copolymerization with cubes acting as nucleation centers, whereas under light irradiation, phoretic interactions compete with magnetic ...
Domenico Calabrò +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2015 Finite spaces are used on elliptic curves cryptography (ECC) to define the necessary parameters for nonlinear asymmetric cryptography, and to optimize certain solutions of differential equations.
Oana Adriana Ticleanu
doaj
Elliptic Curves - an Introduction
Irish Mathematical Society Bulletin, 2007 Elliptic curves – an introduction ...
openaire +2 more sources
Electrostatic Superlattices Beyond 1:1 Stoichiometry
Advanced Functional Materials, EarlyView.Polymer‐mediated charge regulation drives two hierarchical routes to higher‐stoichiometry nanoparticle superlattices. Tuning the polymer's molecular weight promotes progressive interstitial filling, transforming ZnS into the fully occupied CaF2${\rm CaF}_2$ lattice. Exchanging polymer assignment between large and small nanoparticles instead breaks CsCl
Binay P. Nayak +7 more
wiley +1 more source
Non-vanishing of Artin-twisted L-functions of elliptic curves [PDF]
, 2013 Let E be an elliptic curve and ρ an Artin representation, both defined over Q. Let p be a prime at which E has good reduction. We prove that there exists an infinite set of Dirichlet characters χ, ramified only at p, such that the Artin-twisted L-values ...
Ward, Thomas
core
Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]
, 2012 The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
core +1 more source
Isolated elliptic curves and the MOV attack
Journal of Mathematical Cryptology, 2017 We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman–Horn conjecture, we prove that elliptic curves produced this way
Scholl Travis
doaj +1 more source