Results 51 to 60 of about 13,211 (169)
A space-domain integral equation method accelerated with adaptive cross approximation (ACA) is presented for the fast and accurate analysis of electromagnetic (EM) scattering from multilayered metallic photonic crystal (MPC).
Jianxun Su +4 more
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Function algebras over valued fields [PDF]
Bachman, G., Beckenstein, E., Narici, L.
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Galerkin’s Spectral Method in the Analysis of Antenna Wall Operation
In this paper, a solution to the problem of electromagnetic field scattering on a periodic, constrained, planar antenna structure placed on the boundary of two dielectric media was formulated.
Marian Wnuk
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A METHOD OF CONSTRUCTING A BLOCK CIPHERS ROUND FUNCTION’S POLYNOMIAL OVER A FINITE FIELD
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
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Classes of weak Dembowski–Ostrom polynomials for multivariate quadratic cryptosystems
T. Harayama and D. K. Friesen [J. Math. Cryptol. 1 (2007), 79–104] proposed the linearized binomial attack for multivariate quadratic cryptosystems and introduced weak Dembowski–Ostrom (DO) polynomials in this framework over the finite field 𝔽2.
Alam Bilal, Özbudak Ferruh, Yayla Oğuz
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Operator bases, S-matrices, and their partition functions
Relativistic quantum systems that admit scattering experiments are quantitatively described by effective field theories, where S-matrix kinematics and symmetry considerations are encoded in the operator spectrum of the EFT.
Brian Henning +3 more
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β-Expansions in algebraic function fields over finite fields
The author studies \(\beta\)-expansions in algebraic function fields over finite fields. More precisely, let \({\mathbb F}\) be a finite field, \({\mathbb F}[x]\) be its ring of polynomials, and \({\mathbb F}((x^{-1}))\) be its field of formal Laurent series. Given \(z\) and \(\beta\) in \({\mathbb F}((x^{-1}))\), say that \[ z=\sum_{i=1}^{\infty}{{d_i}
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Solomon's zeta functions over algebraic function fields
In 1977 L. Solomon introduced certain zeta functions in the study of lattices over orders in semisimple algebras over \({\mathbb{Q}}\). Implicit in Solomon's original definitions was the parallel concept of a zeta function associated with lattices over orders in semisimple \({\mathbb{F}}_ q(X)\)-algebras, where \({\mathbb{F}}_ q(X)\) is the field of ...
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Δ–Springer varieties and Hall–Littlewood polynomials
The $\Delta $ -Springer varieties are a generalization of Springer fibers introduced by Levinson, Woo and the author that have connections to the Delta Conjecture from algebraic combinatorics.
Sean T. Griffin
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The genus field of an algebraic function field
Let \(k=\mathbb{F}(T)\) be the rational function field over the finite field \(\mathbb{F}_q\), \(\ell\) a prime dividing \(q-1\), and \(K\) a cyclic extension of degree \(\ell\). In this paper the author develops the genus theory of \(K/k\) as the analogy to that of quadratic number fields over \(\mathbb{Q}\). As is well known the class field theory is
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