Results 71 to 80 of about 2,144,780 (355)

On the Search for Supersingular Elliptic Curves and Their Applications

Mathematics
Elliptic curves with the special quality known as supersingularity have gained much popularity in the rapidly developing field of cryptography. The conventional method of employing random search is quite ineffective in finding these curves.
Ismel Martinez-Diaz, Rashad Ali, Muhammad Kamran Jamil   +2 more
doaj   +1 more source

Optimizing Laser Ablation of Stainless Steels for Volume Removal and Surface Quality Using Burst of Pulses

Advanced Engineering Materials, EarlyView.
This study explores the ablation efficiency and surface quality of laser‐treated stainless steel alloys (AISI 304, AISI 420, and AISI 316Ti) using an ultrashort pulsed laser and varying burst parameters (MHz, GHz, and Bi‐burst). Both ablation rates and surface quality parameters are determined, including isotropy surface roughness values, highlighting ...
Dirk Obergfell, Bahman Azarhoushang, Andrés Fabián Lasagni   +2 more
wiley   +1 more source

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, Alexander Nikolaevich Veligura   +1 more
doaj   +1 more source

Ultrasonic Atomization Spray Coating of PCL on an Mg‐Based Alloy Enhanced by Plasma Electrolytic Oxidation for Improved Adhesion, Corrosion Resistance, and Biocompatibility

Advanced Engineering Materials, EarlyView.
Plasma electrolytic oxidation is combined with ultrasonic spray deposition of polycaprolactone (PCL) on WE43 magnesium alloy to improve adhesion, corrosion resistance, and cytocompatibility. The hybrid coating demonstrates significantly reduced hydrogen evolution and enhances mechanical bonding, offering a promising strategy for next‐generation ...
Seyed Masih Mousavizadeh, Atiyeh Adelinia, Frederick D. Crowley, Jamal Seyyed Monfared Zanjani, John J. E. Mulvihill, Mingzhi Yu, Ehsan Rezvani, Matthijn de Rooij, Michael D. Gilchrist, Nan Zhang   +9 more
wiley   +1 more source

Average Analytic Ranks of Elliptic Curves over Number Fields

Forum of Mathematics, Sigma
We give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
doaj   +1 more source

Lattices and Rational Points

Mathematics, 2017
In this article, we show how to use the first and second Minkowski Theorems and some Diophantine geometry to bound explicitly the height of the points of rank N - 1 on transverse curves in E N , where E is an elliptic curve without Complex
Evelina Viada
doaj   +1 more source

COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]

International Journal of Mathematics, 2005
In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Herbert Lange, Peter E. Newstead
openaire   +4 more sources

Production of Metallic Foam Precursors Using Current‐Activated Pressure‐Assisted Densification

Advanced Engineering Materials, EarlyView.
A powder compaction metallurgical method, known as current‐activated pressure‐assisted densification, is applied to enhance the compaction of metal foam precursors. This method improves precursor quality by achieving higher density, lower electrical resistivity, and more uniform pore nucleation in the resulting foams, reducing energy consumption and ...
Tillmann Robert Neu, Paul Hans Kamm, Francisco García‐Moreno   +2 more
wiley   +1 more source

Faster Complete Addition Laws for Montgomery Curves

Transactions on Cryptographic Hardware and Embedded Systems
An 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, Mojtaba Fadavi, Soheila Sabbaghian   +2 more
doaj   +1 more source

Elliptic curves over ℚ $\mathbb {Q}$ and 2-adic images of Galois [PDF]

, 2014
We give a classification of all possible 2-adic images of Galois representations associated to elliptic curves over ℚ $\mathbb {Q}$ . To this end, we compute the ‘arithmetically maximal’ tower of 2-power level modular curves, develop techniques to ...
Jeremy A. Rouse, David Zureick-Brown
semanticscholar   +1 more source