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An approach to the QHE in 3D electron systems [PDF]

open access: yesScientific Reports
We present a theoretical framework for describing the integer quantum Hall effect (IQHE) in three-dimensional (3D) electron systems. This work extends our previous single-electron approach, originally applied to two-dimensional (2D) systems such as ...
M. A. Hidalgo
doaj   +2 more sources

Topological charge of superposition of optical vortices described by a geometric sequence

open access: yesКомпьютерная оптика, 2022
Here, we investigate coaxial superpositions of Gaussian optical vortices that can be described by a geometric sequence. For all superpositions analyzed, a topological charge (TC) is derived.
V.V. Kotlyar, A.A. Kovalev
doaj   +1 more source

Reconstruction of Talbot self-image using Fourier ptychographic microscopy

open access: yesAlexandria Engineering Journal, 2022
Fourier ptychographic microscopy (FPM) is used to merge a sequence of low-resolution Talbot images into a high-resolution image with a large field of view such that both integer and fractional Talbot lengths are clearly resolved. It is also revealed that
Maged F. Alotaibi
doaj   +1 more source

Novel Hybrid Public/Private Key Cryptography Based on Perfect Gaussian Integer Sequences

open access: yesIEEE Access, 2021
This paper proposes a novel hybrid public/private key cryptography scheme based on perfect Gaussian integer sequences (PGISs) of period $N=pq$ . First, a review study of construction degree-4 PGIS is addressed.
Ching-Hsien Hsia   +3 more
doaj   +1 more source

Construction of Period $qp$ PGISs With Degrees Equal to or Larger Than Four

open access: yesIEEE Access, 2018
The degree of a perfect Gaussian integer sequence (PGIS) is defined as the number of distinct nonzero Gaussian integers within one period of the sequence. This paper focuses on constructing PGISs with degrees equal to or larger than four and period of N =
Ho-Hsuan Chang   +2 more
doaj   +1 more source

Entropy vs. Majorization: What Determines Complexity?

open access: yesEntropy, 2014
The evolution of a microcanonical statistical ensemble of states of isolated systems from order to disorder as determined by increasing entropy, is compared to an alternative evolution that is determined by mixing character.
William Seitz, A. D. Kirwan
doaj   +1 more source

Construction of zero correlation zone Gaussian integer sequence set

open access: yesTongxin xuebao, 2017
The construction of zero correlation zone (ZCZ) Gaussian integer sequence set was researched.Based on binary orthogonal matrices,ZCZ ternary sequence sets were constructed by adding zeros at first.Then the ternary ZCZ squences were transformed into ...
Yu-bo LI, Jia-an SUN, Nan JING
doaj   +2 more sources

Perfect Gaussian Integer Sequences With Two Cycles

open access: yesIEEE Access
The complex sequences including Gaussian integers have received considerable attention in the past due to their wide applications in communications and cryptosystems. This paper proposes three new base sequences along with six known ones to construct two
Kun-Lin Lee, Chong-Dao Lee, Yan-Haw Chen
doaj   +1 more source

Constructions of perfect Gaussian integer sequences of odd prime length

open access: yesTongxin xuebao, 2018
Constructions of perfect Gaussian integer sequences (PGIS) based on the cyclotomic classes were proposed.The PGIS with degree 3 and 5 were constructed respectively from the cyclotomic classes of order 2 and 4.The presented sequences with odd prime length
Yubo LI, Miao CHEN, Tao LIU, Ying ZHANG
doaj   +2 more sources

Multiple integer candidates ambiguity resolution: a unification ambiguity resolution algorithm

open access: yesSatellite Navigation
Among all the ambiguity resolution techniques, the Full Ambiguity Resolution (FAR), Partial Ambiguity Resolution (PAR) and Best Integer Equivariant (BIE) estimator are widely used.
Shengfeng Gu, Lizhe Fang, Weiping Jiang
doaj   +1 more source

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