Results 91 to 100 of about 176,578 (264)

Upper Bounds of the Complexity of Functions over Finite Fields in Some Classes of Kroneker Forms

Известия Иркутского государственного университета: Серия "Математика", 2015
Polynomial representations of Boolean functions have been studied well enough. Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased.
A.S. Baliuk, G.V. Yanushkovsky
doaj  

The least primitive roots mod p

Journal of Mathematical Cryptology
Let p>1p\gt 1 be a large prime number, and let ε>0\varepsilon \gt 0 be a small number. The established unconditional upper bounds of the least primitive root u≠±1,v2u\ne \pm 1,{v}^{2} in the prime finite field Fp{{\mathbb{F}}}_{p} have exponential ...
Carella Nelson
doaj   +1 more source

有限域上广义Markoff-Hurwitz-type方程的有理点个数(The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields)

Zhejiang Daxue xuebao. Lixue ban, 2017
Let Nq denote the number of solutions of the generalized Markoff-Hurwitz-type equations over the finite field , where n≥2, mi, k, kj and t≥n are positive integers, ai, , for 1≤i≤n and 1≤j≤t. Recently, some researches considered the above equation with k
HUShuangnian(胡双年), LIYanyan(李艳艳)   +1 more
doaj   +1 more source

Irradiation‐Induced Spin Bath Evolution and as‐Grown Hydrogen Defects in CVD Diamond Revealed by NV‐Based DEER Spectroscopy

Advanced Functional Materials, EarlyView.
Here, we provide the reader with the current state of the art in the fabrication of high‐T2‐coherence diamond, optimized through the use of double electron–electron resonance (DEER) spectroscopy. We reveal the main as well as yet unidentified spin defects, the reduction of which is essential for reducing the spin bath and fabricating materials for ...
Olga Rubinas, Jeroen Prooth, Michael Petrov, Remy Vandebosch, Emilie Bourgeois, David Chvátil, Milos Nesladek   +6 more
wiley   +1 more source

A highly nonlinear substitution-box (S-box) design using action of modular group on a projective line over a finite field. [PDF]

PLoS One, 2020
Siddiqui N, Yousaf F, Murtaza F, Ehatisham-Ul-Haq M, Ashraf MU, Alghamdi AM, Alghamdi AM, Alfakeeh AS.   +7 more
europepmc   +1 more source

Three‐Dimensional Anomalous Hall Sensing Enabled By Spin–Orbit Torque Driven Domain Reconfiguration In Chiral Multilayers

Advanced Functional Materials, EarlyView.
A three‐dimensional magnetic field sensor is realized in chiral W/CoFeB/MgO multilayers, where spin–orbit torques reversibly reconfigure homochiral stripe domains. The symmetry of the torque enables offset‐free in‐plane sensing, while the reproducible domain reconfiguration extends the linear out‐of‐plane range. An anomalous Hall readout delivers large‐
Sabri Koraltan, Rahul Gupta, Reshma Peremadathil Pradeep, Fabian Kammerbauer, Iryna Kononenko, Klemens Prügl, Michael Kirsch, Bernd Aichner, Santiago Helbig, Florian Bruckner, Claas Abert, Andrada Oana Mandru, Armin Satz, Gerhard Jakob, Hans Josef Hug, Mathias Kläui, Dieter Suess   +16 more
wiley   +1 more source

Electrode and Microstructure Dependence of Oxygen Diffusion in Ferroelectric Hafnium Zirconium Oxide Thin Films

Advanced Functional Materials, EarlyView.
Significant nanoscale oxygen diffusion coefficient variations are measured in ferroelectric hafnium zirconium oxide films with grain boundaries and electrode interfaces exhibiting values 104 times larger than the grain cores. Overall coefficients are 10X larger for films prepared with metal nitride electrodes compared to refractory metals. New insights
Liron Shvilberg, Thomas W. Pfeifer, Chuanzhen Zhou, Yong Kyu Choi, Duk‐Hyun Choe, Patrick E. Hopkins, Jon F. Ihlefeld   +6 more
wiley   +1 more source

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

Chiral Phase Change Nanomaterials

Advanced Functional Materials, EarlyView.
This work demonstrates reversible, non‐volatile phase transitions in chiral Ge2${\rm Ge}_2$Sb2${\rm Sb}_2$Te5${\rm Te}_5$ (GST) nanohelices for high‐speed optical modulation of chirality and dynamic control of the state of polarization (SOP). The chiral nanostructures are fabricated using a highly directional, wafer‐scale physical vapor deposition ...
Joshua A. Burrow, Md Shah Alam, Riad Yahiaoui, Evan M. Smith, Ryan Laing, Jules Gardener, Thomas A. Searles, Piyush J. Shah, Shivashankar Vangala, Joshua R. Hendrickson, Andrew M. Sarangan, Imad Agha   +11 more
wiley   +1 more source

Discrete Integrable Equations over Finite Fields

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV
Masataka Kanki, Jun Mada, Tetsuji Tokihiro   +2 more
doaj   +1 more source