Results 81 to 90 of about 98,739 (338)
Roots of sparse polynomials over a finite field [PDF]
LMS Journal of Computation and Mathematics, 2016 For a$t$-nomial$f(x)=\sum _{i=1}^{t}c_{i}x^{a_{i}}\in \mathbb{F}_{q}[x]$, we show that the number of distinct, nonzero roots of$f$is bounded above by$2(q-1)^{1-\unicode[STIX]{x1D700}}C^{\unicode[STIX]{x1D700}}$, where$\unicode[STIX]{x1D700}=1/(t-1)$and$C$is the size of the largest coset in$\mathbb{F}_{q}^{\ast }$on which$f$vanishes completely ...
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On maximal curves and linearized permutation polynomials over finite fields [PDF]
, 2001 The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials.
Özbudak, Ferruh, Ferruh Özbudak
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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Dynamics of polynomial maps over finite fields
Designs, Codes and Cryptography, 2023 Let $\mathbb{F}_q$ be a finite field with $q$ elements and let $n$ be a positive integer. In this paper, we study the digraph associated to the map $x\mapsto x^n h(x^{\frac{q-1}{m}})$, where $h(x)\in\mathbb{F}_q[x].$ We completely determine the associated functional graph of maps that satisfy a certain condition of regularity. In particular, we provide
José Alves Oliveira +1 more
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Factoring multivariate polynomials over large finite fields [PDF]
, 1990 A simple probabilistic algorithm is presented to find the irreducible factors of a bivariate polynomial over a large finite field. For a polynomial f ( x , y ) f(x,y) over
Da Qing Wan
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Advanced Materials, EarlyView.Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
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A New Construction of Multisender Authentication Codes from Polynomials over Finite Fields
Journal of Applied Mathematics, 2013 Multisender authentication codes allow a group of senders to construct an authenticated message for a receiver such that the receiver can verify the authenticity of the received message.
Xiuli Wang
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Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators
Advanced Materials, EarlyView.Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng +11 more
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Value sets of polynomials over finite fields [PDF]
Proceedings of the American Mathematical Society, 1993 Let F q
Wan, Daqing +2 more
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Real-World Applications of a Newly Designed Root-Finding Algorithm and Its Polynomiography
IEEE Access, 2021 Solving non-linear equations in different scientific disciplines is one of the most important and frequently appearing problems. A variety of real-world problems in different scientific fields can be modeled via non-linear equations. Iterative algorithms
Amir Naseem +2 more
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