Scalar multiplication on elliptic curves

2006-12-15

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Scalar multiplication on elliptic curves
Yayla, Oğuz; Akyıldız, Ersan; Department of Cryptography (2006)
Elliptic curve cryptography has gained much popularity in the past decade and has been challenging the dominant RSA/DSA systems today. This is mainly due to elliptic curves offer cryptographic systems with higher speed, less memory and smaller key sizes than older ones. Among the various arithmetic operations required in implementing public key cryptographic algorithms based on elliptic curves, the elliptic curve scalar multiplication has probably received the maximum attention from the research community i...
Scalar curvature and connected sums of self-dual 4-manifolds
Kalafat, Mustafa (European Mathematical Society Publishing House, 2011-01-01)
Under a reasonable vanishing hypothesis, Donaldson and Friedman proved that the connected sum of two self-dual Riemannian 4-manifolds is again self-dual. Here we prove that the same result can be extended to the positive scalar curvature case. This is an analogue of the classical theorem of Gromov-Lawson and Schoen-Yau in the self-dual category. The proof is based on twistor theory.
Scalar waves in spacetimes with closed timelike curves
Buğdaycı, Necmi; Başkal, Sibel; Department of Physics (2005)
The existence and -if exists- the nature of the solutions of the scalar wave equation in spacetimes with closed timelike curves are investigated. The general properties of the solutions on some class of spacetimes are obtained. Global monochromatic solutions of the scalar wave equation are obtained in flat wormholes of dimensions 2+1 and 3+1. The solutions are in the form of infinite series involving cylindirical and spherical wave functions and they are elucidated by the multiple scattering method. Explici...
Scalar waves in a wormhole topology
Bugdayci, Necmi (World Scientific Pub Co Pte Lt, 2006-05-01)
Global monochromatic solutions of the scalar wave equation axe obtained in flat wormholes of dimensions (2+1) and (3+1). The solutions are in the form of infinite series involving cylindrical and spherical wave functions, and they are elucidated by the multiple scattering method. Explicit solutions for some limiting cases are illustrated as well. The results presented in this work constitute instances of solutions of the scalar wave equation in a space-time admitting closed time-like curves.
Scalar f(0) and a(0) mesons in radiative phi -> K+K-gamma decay
Gokalp, A.; Ozturk, F.; Yılmaz, Osman (Elsevier BV, 2009-01-26)
We study the radiative phi -> K+K-gamma decay within a phenomenological framework by considering the contributions of the f(0)(980) and a(0)(980) scalar resonances. We consider the kaon-loop model and the no-structure model to evaluate these contributions and compare the results obtained in two models.
Citation Formats
E. Akyıldız and O. Yayla, “Scalar multiplication on elliptic curves,” 2006, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/78121.