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Construction of a Class of Quantum Boolean Functions Based on the Hadamard Matrix

Acta Mathematicae Applicatae Sinica 2015年第4期31卷 1013-1020页

作者： Jiao DU Shan-qi PANG Qiao-yan WEN Jie ZHANG College of Mathematics and Information Science Henan Normal University Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control Henan Normal University State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications School of Science Beijing University of Posts and Telecommunications

In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that f ： I2n --2P2n, where I2n is an identity matrix of order 2n and P2n is a projective matrix ... 详细信息

关键词： quantum information matrix image quantum boolean function projective matrix

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New constructions of q-variable 1-resilient rotation symmetric functions over Fp

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Science China(Information Sciences) 2016年第7期59卷 240-242页

作者： Jiao DU Shaojing FU Longjiang QU Chao LI Shanqi PANG College of Science National University of Defense Technology School of Mathematics and Information Science Henan Normal University Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control Henan Normal University College of Computer Science National University of Defense Technology

Dear editor,Motivated by Refs.[1–10],we devote to constructing a class of q-variable 1-resilient rotation symmetric functions（RSFs）over the finite field F;={0,1,...,p-1}in this *** this letter,let p and q be differ... 详细信息

关键词： over New constructions of q-variable 1-resilient rotation symmetric functions over F_p

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Construction of Normal Bimagic Squares of Order 2u

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Acta Mathematicae Applicatae Sinica 2020年第4期36卷 771-789页

作者： Wen LI Feng-chu PAN Guang-zhou CHEN School of Science Xichang UniversityXichang 615000China School of Environment and Resource Xichang UniversityXichang 615000China Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information ScienceHenan Normal UniversityXinxiang 453007China

An n×n matrix A consisting of nonnegative integers is a general magic square of order n if thesum of elements in each row,column,and main diagonal is the same.A general magic square A of order n iscalled a magic square,denoted by MS(n),if the entries of A are distinct.A magic square A of order n is normalif the entries of A are n^2 consecutive *** A^*d denote the matrix obtained by raising each elementof A to the d-th *** matrix A is a d-multimagic square,dcnoted by MS(n,d),if A^*e is an MS(n)for 1≤e≤*** this paper we investigate the existence of normal bimagic squares of order 2u and prove that thereexists a normal bimagic square of order 2u,where u and 6 are coprime and u≥5.

关键词： magic square bimagic square complementary pair multimagic square Latin square

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Construction of Orthogonal Arrays without Interaction Columns

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Acta Mathematicae Applicatae Sinica 2022年第1期38卷 159-168页

作者： Shan-qi PANG Ya-ping WANG Ming-yao AI School of Mathematics and Information Science Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal ControlHenan Normal UniversityXinxiang 453007China KLATASDS-MOE School of StatisticsEast China Normal UniversityShanghai 200062China LMAM School of Mathematical Sciences and Center for Statistical SciencePeking UniversityBeijing 100871China

In this paper a new class of orthogonal arrays(OAs),i.e.,OAs without interaction columns,are proposed which are applicable in factor screening,interaction detection and other *** the tools of difference matrices,we present some general recursive methods for constructing OAs of such *** families of OAs with high percent saturation are *** particular,for any integerλ≥3,such a two-level OA of run 4λcan always be obtained if the corresponding Hadamard matrix exists.

关键词： complex aliasing difference matrix Hadamard matrix Kronecker sum symmetric array

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Iterative constructions of orthogonal arrays of strength t and orthogonal partitions

Iterative constructions of orthogonal arrays of strength t a...

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作者： Pang, Shanqi Wang, Ying Du, Jiao Xu, Wenju College of Mathematics and Information Science Henan Engineering Laboratory for Big Data Statistical Analysis and Optional Control Henan Normal University Xinxiang453007 China

Orthogonal arrays and orthogonal partitions have great significance in communications and coding theory. In this letter, by using a generalized orthogonal partition, Latin squares and orthogonal Latin squares, we present an iterative construction method of orthogonal arrays of strength t and orthogonal partitions. As an application of the method, more orthogonal arrays of strength t and orthogonal partitions than the existing methods can be constructed. © Copyright 2017 The Institute of Electronics, Information and Communication Engineers.

关键词： Iterative methods

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REQUIRED NUMBER OF ITERATIONS FOR SPARSE SIGNAL RECOVERY VIA ORTHOGONAL LEAST SQUARES

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Journal of Computational Mathematics 2023年第1期41卷 1-17页

作者： Haifeng Li Jing Zhang Jinming Wen Dongfang Li Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control College of Mathematics and Information ScienceHenan Normal UniversityXinxiang 453007China College of Information Science and Technology Jinan UniversityGuangzhou 510632China School of Mathematics and Statistics Huazhong University of Science and TechnologyWuhan 430074China Hubei Key Laboratory of Engineering Modeling and Scientific Computing Huazhong University of Science and TechnologyWuhan 430074China

In countless applications,we need to reconstruct a K-sparse signal x∈R n from noisy measurements y=Φx+v,whereΦ∈R^(m×n)is a sensing matrix and v∈R m is a noise *** least squares(OLS),which selects at each step the column that results in the most significant decrease in the residual power,is one of the most popular sparse recovery *** this paper,we investigate the number of iterations required for recovering x with the OLS *** show that OLS provides a stable reconstruction of all K-sparse signals x in[2.8K]iterations provided thatΦsatisfies the restricted isometry property(RIP).Our result provides a better recovery bound and fewer number of required iterations than those proposed by Foucart in 2013.

关键词： Sparse signal recovery Orthogonal least squares(OLS) Restricted isometry property(RIP)

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On hom-yetter-drinfeld category 1

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International Conference on Stochastic Processes and Algebraic Structures, SPAS 2017

作者： Ma, Tianshui Silvestrov, Sergei Zheng, Huihui Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control Henan Normal University Xinxiang453007 China Division of Applied Mathematics School of Education Culture and Communication Mälardalen University Box 883 Västerås72123 Sweden

ISBN: (数字)9783030418502

ISBN: (纸本)9783030418496

Let (H, β) be a Hom-Hopf algebra. Recently we introduced the Hom-Yetter-Drinfeld category HHYD via Radford biproduct Hom-Hopf algebra, and proved that HHYD is a braided tensor category. Let (H, β, R (or~σ)) be a quasitriangular (or cobraided) Hom-Hopf algebra. In this paper, we prove that the category HM (or HM) of left (H, β)-Hom-modules comodules) is a braided tensor subcategory of HHYD. As a generalization of Radford biproduct Hom-Hopf algebra, we derive necessary and sufficient conditions for R-smash product Hom-algebra (Formula Presented) and T-smash coproduct Hom-coalgebra (Formula Presented) to be a Hom-Hopf algebra. At last, two nontrivial examples are given. © Springer Nature Switzerland AG 2020.

关键词： Tensors

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The 3-extra diagnosability of alternating group graphs

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Journal of Combinatorial Mathematics and Combinatorial Computing 2020年 115卷 253-269页

作者： Ren, Yunxia Wang, Shiying Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information Science Henan Normal University Henan Xinxiang453007 China

The diagnosability of a multiprocessor system is one important study topic. In 2016, Zhang et al. proposed a new measure for fault diagnosis of the system, namely, the g-extra diagnosability, which restrains that every fault-free component has at least (g + 1) fault-free nodes. As a favorable topology structure of interconnection networks, the n-dimeosional alternating group graph AGnhas many good properties. In this paper, we prove that the 3-extra diagnosability of AGnis 8n-25 for n ≥ 5 under the PMC model and for n ≥ 7 MM∗model a t-diagnosable system, Dahbura and Masson [2] proposed an algorithm with time complex O(n2.5), which can effectively identify the set of faulty processors. © 2020 Charles Babbage Research Centre. All rights reserved.

关键词： Topology

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DIAGNOSABILITY OF CAYLEY GRAPH NETWORKS GENERATED BY TRANSPOSITION TREES UNDER THE COMPARISON DIAGNOSIS MODEL

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Annals of Applied Mathematics 2016年第2期32卷 166-173页

作者： Mujiangshan Wang Shiying Wang School of Electrical Engineering & Computer Science The University of Newcastle Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Math.and Information ScienceHenan Normal University

Diagnosability of a multiprocessor system is one important study *** graph network Cay（Tn,Sn） generated by transposition trees Tnis one of the attractive underlying topologies for the multiprocessor *** this paper,i... 详细信息

关键词： interconnection network graph diagnosability comparison diagnosis model Cayley graph

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Global static stability and its relation to gravity waves in the middle atmosphere

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Earth and Planetary Physics 2020年第5期4卷 504-512页

作者： Xiao Liu JiYao Xu Jia Yue Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information SciencesHenan Normal UniversityXinxiang Henan 453007China State Key Laboratory of Space Weather Center for Space Science and Applied ResearchChinese Academy of SciencesBeijing 100190China School of Astronomyand Space Science University of the Chinese Academy of ScienceBeijing 100049China Catholic University of America WashingtonDC 20064USA National Aeronautics and Space Administration(NASA)Goddard Space Flight Center GreenbeltMD 20771USA

The global atmospheric static stability(N2)in the middle atmosphere and its relation to gravity waves(GWs)were investigated by using the temperature profiles measured by the Sounding of the Atmosphere using Broadband Emission Radiometry(SABER)instrument from 2002 to *** low latitudes,a layer with enhanced N2 occurs at an altitude of^20 km and exhibits annual oscillations caused by tropopause inversion *** an altitude of^70 km,enhanced N2 exhibits semiannual oscillations at low latitudes caused by the mesosphere inversion layers and annual oscillations at high latitudes resulting from the downward shift of the summer *** correlation coefficients between N2 and GW amplitudes can be larger than 0.8 at latitudes poleward of^40°N/*** observation provides factual evidence that a large N2 supports large-amplitude GWs and indicates that N2 plays a dominant role in maintaining GWs at least at high latitudes of the middle *** evidence also partially explains the previous results regarding the phase changes of annual oscillations of GWs at high latitudes.

关键词： atmospheric static stability gravity waves annual oscillation semiannual oscillation mesopause

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