Results 11 to 20 of about 10,791,227 (313)
Modelling electrochemical systems with finite field molecular dynamics
Journal of Physics: Energy, 2020 Physical chemistry of electric double layers and ionic solutions plays a fundamental role in energy related applications such as electrocatalysis, super-capacitors, fuel cells, lithium/sodium ion batteries.
Chao Zhang +3 more
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Rational points on log Fano threefolds over a finite field [PDF]
Journal of the European Mathematical Society (Print), 2015 We prove the $W\mathcal{O}$-rationality of klt threefolds and the rational chain connectedness of klt Fano threefolds over a perfect field of characteristic $p>5$. As a consequence, any klt Fano threefold over a finite field has a rational point.
Yoshinori Gongyo +2 more
semanticscholar +1 more source
IACR Transactions on Symmetric Cryptology, 2022 There are many recent results on reverse-engineering (potentially hidden) structure in cryptographic S-boxes. The problem of recovering structure in the other main building block of symmetric cryptographic primitives, namely, the linear layer, has not ...
Christof Beierle +3 more
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Finite field methods for the supercell modeling of charged insulator/electrolyte interfaces [PDF]
, 2016 Interactions between aligned dipoles in periodic model systems are often considered spurious and removed by partitioning the supercell in isolated slabs separated by vacuum layers.
Chao Zhang, M. Sprik
semanticscholar +1 more source
On the number of irreducible polynomials of special kinds in finite fields
AIMS Mathematics, 2020 Let $\mathbb{F}_q$ be the finite field of order $q$ and $f(x)$ be an irreducible polynomial of degree $n$ over $\mathbb{F} _q$. For a positive divisor $n_1$ of $n$, define the $n_1$-traces of $f(x)$ to be $\mathrm{Tr}(\alpha;n_1)=\alpha+\alpha^q+\cdots ...
Weihua Li, Chengcheng Fang, Wei Cao
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Classification of Elements in Elliptic Curve Over the Ring 𝔽q[ɛ]
Discussiones Mathematicae - General Algebra and Applications, 2021 Let 𝔽q[ɛ] := 𝔽q [X]/(X4 − X3) be a finite quotient ring where ɛ4 = ɛ3, with 𝔽q is a finite field of order q such that q is a power of a prime number p greater than or equal to 5.
Selikh Bilel +2 more
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Lower Bound of the Complexity of Seven-Valued Functions in the Class of Polarized Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2017 One of the directions of the investigation of functions over finite fields is the study of their representations, including polynomial ones. In the area of polynomial representations of functions the problem of estimating the complexity of such ...
A.S. Baliuk, A.S. Zinchenko
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Finite field restriction estimates based on Kakeya maximal operator estimates [PDF]
Journal of the European Mathematical Society (Print), 2014 In the finite field setting, we show that the restriction conjecture associated to any one of a large family of $d=2n+1$ dimensional quadratic surfaces implies the $n+1$ dimensional Kakeya conjecture (Dvir's theorem).
Mark Lewko
semanticscholar +1 more source
On the multiplicative order of elements in Wiedemann's towers of finite fields
Karpatsʹkì Matematičnì Publìkacìï, 2015 We consider recursive binary finite field extensions $E_{i+1} =E_{i} (x_{i+1} )$, $i\ge -1$, defined by D. Wiedemann. The main object of the paper is to give some proper divisors of the Fermat numbers $N_{i} $ that are not equal to the multiplicative ...
R. Popovych
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Unit groups of finite group algebras of Abelian groups of order 17 to 20
AIMS Mathematics, 2021 Let $ F $ be a finite field of characteristic $ p $ having $ q = p^n $ elements and $ G $ be an abelian group. In this paper, we determine the structure of the group of units of the group algebra $ FG $, where $ G $ is an abelian group of order $ 17\leq |
Yunpeng Bai , Yuanlin Li, Jiangtao Peng
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