Results 111 to 120 of about 98,739 (338)

Enumeration of Special Sets of Polynomials over Finite Fields [PDF]

, 1999
In this paper we consider squarefree polynomials over finite fields whose gcd with their reciprocal and Frobenius conjugate polynomial is trivial, respectively.
Reifegerste, Astrid
core   +1 more source

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

Vector finite fields of characteristic two as algebraic support of multivariate cryptography [PDF]

Computer Science Journal of Moldova
The central issue of the development of the multivariate public key algorithms is the design of reversible non-linear mappings of $n$-dimensional vectors over a finite field, which can be represented in a form of a set of power polynomials. For the first
Alexandr Moldovyan, Nikolay Moldovyan
doaj   +1 more source

Further results on permutation polynomials over finite fields [PDF]

Finite Fields Their Appl., 2013
Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we develop general theorems on permutation polynomials over finite fields.
P. Yuan, C. Ding
semanticscholar   +1 more source

Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys

Advanced Science, EarlyView.
This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin, Cheng‐Wei Lee, Nate S.P. Bernstein, Thi Nguyen, Ande Bryan, Eli Cooper, John S. Mangum, Sage R. Bauers, Andriy Zakutayev, Keisuke Yazawa, Prashun Gorai, Rebecca W. Smaha   +11 more
wiley   +1 more source

Field‐Frustrated Cooperative Distortions: Suppressing Jahn‐Teller Ordering via Microwave Annealing

Advanced Science, EarlyView.
Microwave annealing decouples local Jahn‐Teller distortions from long‐range cooperative ordering in CuFe2O4, stabilizing a metastable cubic phase that remains locally distorted yet globally symmetry‐frustrated. Synchrotron XRD, PDF, XPS, and in situ thermal cycling reveal how non‐equilibrium MW‐phonon interactions suppress cooperative orbital‐lattice ...
Daryoosh Vashaee, Kelvin Dsouza
wiley   +1 more source

Hardware acceleration of number theoretic transform for zk‐SNARK

Engineering Reports, EarlyView., 2023
An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao, Dong Ding, Feng Wang, Pengcheng Hua, Ning Wang, Qin Wu, Zhilei Chai   +6 more
wiley   +1 more source

New Constructions of Complete Permutation Polynomials over Finite Fields of Even Characteristic

Mathematics
Complete permutation polynomials have many applications in mathematics and cryptography. In this paper, we study the complete permutation property of polynomial xh(xq−1)q+1 over Fq2, where h(x)=h1(x+xq)+h2(x+xq)xk.
Jian Li, Zhengbang Zha, Ziran Tu
doaj   +1 more source

A New Root-Finding Algorithm for Solving Real-World Problems and Its Complex Dynamics via Computer Technology

Complexity, 2021
Nowadays, the use of computers is becoming very important in various fields of mathematics and engineering sciences. Many complex statistics can be sorted out easily with the help of different computer programs in seconds, especially in computational and
Amir Naseem, M. A. Rehman, Jihad Younis
doaj   +1 more source

Interacting Parallel Fluidic Hysterons

Advanced Science, EarlyView.
The parallel coupling of fluidic hysterons is introduced, establishing advanced functionalities in inflatable soft systems. A pressure–volume framework reveals how preset volumes Δv∗${\Delta }v^*$ tune nonlinear interactions between hysterons and actuation sequences without changing architecture. Experiments validate the predictions, opening new routes
Katrien Stinissen, Franco Nicolas Piñan Basualdo, Benjamin Gorissen   +2 more
wiley   +1 more source