Results 101 to 110 of about 98,739 (338)
A Hybrid Computational Framework for PCF‐based SPR Sensor With Machine Learning and xAI
Advanced Materials Interfaces, EarlyView.A photonic crystal fiber‐based surface plasmon resonance (SPR) sensor integrating rectangular air holes along with conventional circular air holes achieves exceptional wavelength sensitivity of 15,000 nm/RIU across a broad refractive index range of 1.31–1.39. Integrated machine learning with explainable AI (xAI) models achieves high prediction accuracy
Mahabur Rahman Fahim +3 more
wiley +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
Polynomials over base 2 finite fields with evenly distributed values [PDF]
, 2005 Few nontrivial results about the value sets of polynomials over finite fields are known. This paper uses results from the theory of crosscorrelation of binary m-sequences to find five kinds of polynomials f(x) defined over finite fields GF(2n) such that ...
Cusick, Thomas W.
core +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
On the Irreducibility of Some Composite Polynomials
Journal of Mathematical Extension, 2012 . In this paper we study the irreducibility of some composite polynomials, constructed by a polynomial composition method over finite fields. Finally, a recurrent method for constructing families of irreducible polynomials of higher degree from given ...
M. Alizadeh
doaj
Deterministic distinct-degree factorization of polynomials over finite fields [PDF]
, 2004 A deterministic polynomial time algorithm is presented for finding the distinct-degree factorization of multivariate polynomials over finite fields. As a consequence, one can count the number of irreducible factors of polynomials over finite fields in ...
Lauder, AG +5 more
core +1 more source
Compliant Pneumatic Feet with Real‐Time Stiffness Adaptation for Humanoid Locomotion
Advanced Robotics Research, EarlyView.A compliant pneumatic foot with real‐time variable stiffness enables humanoid robots to adapt to changing terrains. Using onboard vision and pressure control, the foot modulates stiffness within each gait cycle, reducing impact forces and improving balance. The design, cast in soft silicone with embedded air chambers and Kevlar wrapping, offers durable,
Irene Frizza +3 more
wiley +1 more source
A classification of permutation polynomials of degree 7 over finite fields [PDF]
Finite Fields Their Appl., 2018 Up to linear transformations, we give a classification of all permutation polynomials of degree $7$ over $\mathbb{F}_{q}$ for any odd prime power $q$, with the help of the SageMath software.
Xiang Fan
semanticscholar +1 more source
BENT POLYNOMIALS OVER FINITE FIELDS [PDF]
, 2008 . The definition of bent is redefined for any finite field. Our main result is a complete description of the relationship between bent polynomials and perfect non-linear functions over finite fields: we show they are equivalent.
Rex, Robert S Coulter, W Matthews
core