Results 101 to 110 of about 2,214,189 (355)
Reducing elliptic curve logarithms to logarithms in a finite field
Abstruct- Elliptic cuwe cryptosystems have the potential to provide relatively small block size, high-security public key schemes that can be efficiently implemented.
A. Menezes, S. Vanstone, T. Okamoto
semanticscholar +1 more source
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat+6 more
wiley +1 more source
Topic In Elliptic Curves Over Finite Fields: The Groups of Points [PDF]
This article is a short introduction to the theory of the groups of points of elliptic curves over finite fields. It is concerned with the elementary theory and practice of elliptic curves cryptography, the new generation of public key systems. The material and coverage are focused on the groups of points of elliptic curves and algebraic curves, but ...
arxiv
High‐Entropy Ti, Zr, Hf, Ta Multiphase Diboride with Deformation Resistance up to 2000 °C
Ceramics are brittle and strength decreases with temperature. The multiphase high‐entropy (Ti0.25Ta0.25Hf0.25Zr0.25)B2 with heterogeneity at the nano‐ and microscale demonstrates deformation resistance up to 2000 °C, with maximum bending strength at 1800 °C.
Petre Badica+3 more
wiley +1 more source
Real elliptic curves and cevian geometry [PDF]
We study the elliptic curve $E_a: (ax+1)y^2+(ax+1)(x-1)y+x^2-x=0$, which we call the geometric normal form of an elliptic curve. We show that any elliptic curve whose $j$-invariant is real is isomorphic to a curve $E_a$ in geometric normal form, and show that for $a \notin \{0, -1, -9\}$, the points on $E_a$, minus a set of $6$ points, can be ...
arxiv
This research applies advanced laser beam shaping (LCoS‐SLM) to fabricate the Ti‐6Al‐4V alloy via laser powder bed fusion. A tailored beam is used to prevent martensite formation and create a dual α+β microstructure by controlling cooling rates.
Reza Esmaeilzadeh+8 more
wiley +1 more source
Hardware Accelerators for Elliptic Curve Cryptography [PDF]
In this paper we explore different hardware accelerators for cryptography based on elliptic curves. Furthermore, we present a hierarchical multiprocessor system-on-chip (MPSoC) platform that can be used for fast integration and evaluation of novel ...
C. Puttmann+3 more
doaj
Primality Proving with Elliptic Curves [PDF]
Elliptic curves are fascinating mathematical objects. In this paper, we present the way they have been represented inside the {\sc Coq} system, and how we have proved that the classical composition law on the points is internal and gives them a group structure.
Théry, Laurent, Hanrot, Guillaume
openaire +5 more sources
Bi‐directionally assembled BN µ‐platelets in micropatterns formed by a micro‐molding method for thermal interface materials are demonstrated. The BN µ‐platelets are vertically aligned selectively, while compressed regions without patterns accommodate horizontally assembled BN µ‐platelets. Through anisotropic orientation, high thermal conductivities for
Young Gil Kim+12 more
wiley +1 more source
HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES [PDF]
13 pages; submitted to the Proceedings of the 2018 ICM.
openaire +3 more sources