Results 71 to 80 of about 12,115,560 (297)

Functional graphs of polynomials over finite fields

Journal of Combinatorial Theory, Series B, 2016
Given a function $f$ in a finite field ${\mathbb F}_q$ of $q$ elements, we define the functional graph of $f$ as a directed graph on $q$ nodes labelled by the elements of ${\mathbb F}_q$ where there is an edge from $u$ to $v$ if and only if $f(u) = v$.
Sergei V. Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E. Shparlinski   +5 more
openaire   +4 more sources

Femtosecond‐Laser Nanocavitation Regenerates SERS‐Active Plasmonic Nanogaps for Longitudinal Molecular Sensing at Biointerfaces

Advanced Science, EarlyView.
A regenerative molecular sensing platform that co‐localizes surface‐enhanced Raman spectroscopy (SERS) sensing and nanocavitation‐based actuation. Femtosecond‐laser triggered nanocavitation produces thermomechanical forces to locally regenerate SERS‐active nanogaps in protein‐rich biofluids while preserving optical performance.
Aditya Garg, Ze Zong, Meitong Nie, Stacie E. Deaver, Elizabeth M. Van Order, Elieser Mejia, Peter Vikesland, Erin S. Gloag, Wei Zhou   +8 more
wiley   +1 more source

On Permutation Polynomials Over Finite Fields [PDF]

, 2017
Bu tezde sonlu cisimlerdeki permutasyon polinomları uzerine c¸alıs¸tık. Sonlu cisimler ¨ uzerinde tanımlanmıs¸ bazı permutasyon polinom tiplerinin olus¸turulması ve sınıflandı- ¨ rılması ile ilgili son zamanlarda yapılmıs¸ birtakım aras¸tırma sonuc ...
Asad, Maha M.m. Dabboor
core   +1 more source

A METHOD OF CONSTRUCTING A BLOCK CIPHERS ROUND FUNCTION’S POLYNOMIAL OVER A FINITE FIELD

Современные информационные технологии и IT-образование, 2018
The work outlines the method of construction of round function as a polynomial of one variable over the finite field. The proposed method is based on the calculation of the initial cryptographic transformation at special points of the finite field and ...
Sergey A. Belov
doaj   +1 more source

ITERATION OF QUADRATIC POLYNOMIALS OVER FINITE FIELDS [PDF]

Mathematika, 2017
For a finite field of odd cardinality $q$, we show that the sequence of iterates of $aX^2+c$, starting at $0$, always recurs after $O(q/\log\log q)$ steps. For $X^2+1$ the same is true for any starting value. We suggest that the traditional "Birthday Paradox" model is inappropriate for iterates of $X^3+c$, when $q$ is 2 mod 3.
openaire   +3 more sources

A Smart Fluid‐Hydraulic System Based on MRF Valve Control and Its Application in Flexible Grasping

Advanced Science, EarlyView.
This study introduces a smart fluid hydraulic system using MRF valve control for flexible gripping. An MRF‐MSV with an integrated excitation coil and micro‐textured damping channels is designed and validated; micro‐texturing increases hydraulic resistance. Coupled with a soft actuator, the MRF‐MSV enables dynamic bending and grasping.
Linfeng Huo, Hui Ji, Ruidong Hong, Songlin Nie, Fanglong Yin, Zhonghai Ma   +5 more
wiley   +1 more source

On the Dispersions of the Polynomial Maps over Finite Fields [PDF]

The Electronic Journal of Combinatorics, 2008
We investigate the distributions of the different possible values of polynomial maps ${\Bbb F}_q^n\longrightarrow{\Bbb F}_q$, $x\longmapsto P(x)$. In particular, we are interested in the distribution of their zeros, which are somehow dispersed over the whole domain ${\Bbb F}_q^n$.
openaire   +3 more sources

A Generative Neuro‐Symbolic AI for Protein Sequence Design

Advanced Science, EarlyView.
We introduce EffieDes, a neuro‐symbolic framework coupling deep learning‐based fitness landscape parameterization with exact automated reasoning. Unlike greedy sampling, EffieDes identifies sequences that globally optimize fitness while satisfying intricate design constraints.
Marianne Defresne, Delphine Dessaux, Samuel Buchet, Lucie Barthe, Liza Ammar‐Khodja, Bessam Azizi, Valentin Durante, Gianluca Cioci, Simon de Givry, Alain Roussel, Luis F. Garcia‐Alles, Thomas Schiex, Sophie Barbe   +12 more
wiley   +1 more source

A Closed‐Loop Framework for Inverse Design: Dynamic Training and Intelligent Optimization for Heterostructured Materials

Advanced Science, EarlyView.
To accelerate the inverse design of heterostructured metal matrix composites, a closed‐loop scientific machine learning framework integrates continual learning prediction with NSGA‐II‐PMCP optimization. The framework maps microstructural descriptors to strength, toughness, and modulus, expands high‐quality Pareto solutions, and guides experimentally ...
Zhiyan Zhong, Xueru Zheng, Xiao Zhou, Zhengheng Tao, Wan Han, Jingyi Pan, Dian Wu, Ning Gao, Lei Liu, Zhongyang Wang, Fanchao Meng, Tongxiang Fan   +11 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