Results 61 to 70 of about 4,574 (262)
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
Advanced Engineering Materials, EarlyView.Residual adhesive after electrode loading in adhesive‐assisted resistance spot welding is quantified through a traceable experimental‐to‐digital workflow. Chromatic confocal topography provides calibrated surface‐height data, while OpenCV detects the electrode imprint and integrates adhesive height into comparable volume metrics.
Sung‐Min Wi, Jiangdong Zhao
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 +2 more
doaj +1 more source
Elliptic Curves - an Introduction
Irish Mathematical Society Bulletin, 2007 Elliptic curves – an introduction ...
openaire +2 more sources
On p-degree of elliptic curves [PDF]
International Journal of Number Theory, 2018 In this note, we investigate the [Formula: see text]-degree function of an elliptic curve [Formula: see text]. The [Formula: see text]-degree measures the least complexity of a non-zero [Formula: see text]-torsion point on [Formula: see text]. We prove some properties of this function and compute it explicitly in some special cases.
openaire +2 more sources
Advanced Engineering Materials, EarlyView.Deep‐UV (258 nm) femtosecond pulses enable uniform amorphous silicon writing on Si(100)/(111) with a six‐fold larger fluence amorphization window than NIR methods. Optimized fluence and overlap yield 20–45 nm uniform and continuous amorphous layers. Microscopy shows sharp interfaces, and real‐time reflectivity reveals nanosecond melt–resolidification ...
Wissal Benali +5 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
wiley +1 more source
Advanced Functional Materials, EarlyView.This work presents manipulation of adjacent carbon site in single‐atom indium catalysts via editing In‐N4 motif to In‐N2O2 for reaction pathway switching. Incorporation of O atoms leads to significant electron enrichment on the adjacent carbon sites surrounding the In‐N2O2 motif, which facilitates *COOH adsorption and CO formation with high selectivity.
Wenjing Zhao +9 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou +6 more
wiley +1 more source
On Algebraically Integrable Differential Operators on an Elliptic Curve
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic operators on special elliptic ...
Pavel Etingof, Eric Rains
doaj +1 more source