Results 51 to 60 of about 12,820,749 (293)

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
doaj   +1 more source

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 ...
openaire   +2 more sources

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, Fabio Enrique Brochero Martínez   +1 more
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Spin Transport Across Interfaces With the Non‐Collinear Antiferromagnet Mn3Sn

Advanced Materials, EarlyView.
We study spin transport with Mn3Sn|Metal${\rm Mn}_3{\rm Sn}\vert{\rm Metal}$ heterostructures. For Mn3Sn|Pt${\rm Mn}_3{\rm Sn}\vert{\rm Pt}$ heterostructures, ultrafast spin current generation by optical pumping of Mn3Sn${\rm Mn}_3{\rm Sn}$ is explored, while for Mn3Sn|NiFe${\rm Mn}_3{\rm Sn}\vert{\rm NiFe}$ heterostructures, we probe the spin–charge ...
Paul A. Marschall, Wolfgang Hoppe, Prajwal Rigvedi, Börge Göbel, Franziska Ziolkowski, Samir Lounis, Banabir Pal, Stuart S. P. Parkin, Georg Woltersdorf   +8 more
wiley   +1 more source

Value sets of polynomials over finite fields [PDF]

Proceedings of the American Mathematical Society, 1993
Let F q
Wan, Daqing, Shiue, Peter Jau-Shyong, Chen, C. S.   +2 more
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Ionic Gating of Liquid‐Crystal‐Like Pteridine Assemblies Enables Tunable Light Scattering

Advanced Materials, EarlyView.
Tunable optical properties emerge through developmentally regulated ionic gating, which transforms disordered, ultraviolet (UV)‐absorbing organelles into concentrically ordered, liquid‐crystal‐like light scatterers. By integrating analyses of pteridine composition, potassium‐dependent assembly, hierarchical ultrastructure, and optical behavior, the ...
Sourabh Bera, Zohar Eyal, Yael Noy, Yuval Barzilay, Siddharth Sahoo, Srikant Moharana, Avi Baram, Tali Lerer‐Goldshtein, Neta Varsano, Bar Bader, Lothar Houben, Uwe Heinig, Iddo Pinkas, Moshe Goldsmith, Tamar Unger, Shira Albeck, Andrea Sorrentino, Maxim Itkin, Sergey Malitsky, Ziv Porat, Ido Hadar, Venkata Jayasurya Yallapragada, Dvir Gur   +22 more
wiley   +1 more source

Factoring polynomials over large finite fields [PDF]

Mathematics of Computation, 1970
This paper reviews some of the known algorithms for factoring polynomials over finite fields and presents a new deterministic procedure for reducing the problem of factoring an arbitrary polynomial over the Galois field
openaire   +1 more source

Epitaxially Integrated Electro‐Optic KNbO3 Thin Films on Silicon

Advanced Materials, EarlyView.
We demonstrate the first epitaxial integration of electro‐optic KNbO3 thin films on silicon using suboxide molecular‐beam epitaxy. Combining adsorption‐controlled molecular‐beam epitaxy, advanced characterization, and phase‐field modeling, we demonstrate phase‐pure crystalline films mirroring bulk crystals with robust Pockels response, enabling future ...
Sankalpa Hazra, Tobias Schwaigert, Yingxin Zhu, Aiden Ross, Muhammad Aminul Haque Chowdhury, Shun‐Li Shang, Sameer Singh, Zhiyu Zhang, Zhe Wang, Brynn Brower, Saugata Sarker, Suchismita Sarker, Zi‐Kui Liu, Rama K. Vasudevan, Long‐Qing Chen, Yang Yang, Darrell G. Schlom, Venkatraman Gopalan   +17 more
wiley   +1 more source

Further study on permutation polynomials over finite fields

四川大学学报. 自然科学版, 2019
Permutation polynomials over finite fields becomes an interesting subject. To constructing new classes permutation polynomials is an open problem raised by Lidl and Mullen in 1988.
QIN Xiao-Er, YAN Li
doaj  

Evaluation of Some Sums of Polynomials in Fq[t]

Journal of Applied Mathematics, 2019
We prove the polynomial analogues of some Liouville identities from elementary number theory. Consequently several sums defined over the finite fields Fq[t] are evaluated by combining the results obtained and some of the results from sums of reciprocals ...
Adama Diene
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