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Security analysis of P-SPN schemes against invariant subspace attack with inactive S-boxes Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-21 Bolin Wang, Wenling Wu
The security requirements of new applications such as cloud computing, big data, and the Internet of Things have promoted the development and application of security protocols such as secure multi-party computation, fully homomorphic encryption, and zero-knowledge proof. In order to meet these demands, there is a need for new symmetric ciphers that minimize multiplications in \( {\mathbb {F}}_{2^{n}}
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eSTARK: extending STARKs with arguments Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-20 Héctor Masip-Ardevol, Jordi Baylina-Melé, Marc Guzmán-Albiol, Jose Luis Muñoz-Tapia
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New and improved formally self-dual codes with small hulls from polynomial four Toeplitz codes Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-20 Yang Li, Shitao Li, Shixin Zhu
Formally self-dual (FSD) codes and linear codes with small Euclidean (resp. Hermitian) hulls have recently attracted a lot of attention due to their theoretical and practical importance. However, there has been not much attention on FSD codes with small hulls. In this paper, we introduce two kinds of polynomial four Toeplitz codes and prove that they must be FSD. We characterize the linear complementary
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A class of functions and their application in constructing semisymmetric designs Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-20 Robert S. Coulter, Bradley Fain
We introduce the notion of a semiplanar function of index \(\lambda \), generalising several previous concepts. We show how semiplanar functions can be used to construct semisymmetric designs using an incidence structure determined by the function. Issues regarding the connectivity of the structure are then considered. The question of existence is addressed by establishing monomial examples over finite
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CSI-Otter: isogeny-based (partially) blind signatures from the class group action with a twist Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-17 Shuichi Katsumata, Yi-Fu Lai, Jason T. LeGrow, Ling Qin
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Non-canonical maximum cliques without a design structure in the block graphs of 2-designs Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-18 Sergey Goryainov, Elena V. Konstantinova
In this note we answer positively a question of Chris Godsil and Karen Meagher on the existence of a 2-design whose block graph has a non-canonical maximum clique without a design structure.
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Curve-lifted codes for local recovery using lines Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-17 Gretchen L. Matthews, Travis Morrison, Aidan W. Murphy
In this paper, we introduce curve-lifted codes over fields of arbitrary characteristic, inspired by Hermitian-lifted codes over \(\mathbb {F}_{2^r}\). These codes are designed for locality and availability, and their particular parameters depend on the choice of curve and its properties. Due to the construction, the numbers of rational points of intersection between curves and lines play a key role
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Hulls of cyclic codes with respect to the regular permutation inner product Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-15 Xiaoshan Quan, Qin Yue, Fuqing Sun
In this paper, we introduce regular permutation inner products which contain the Euclidean inner product. And we generalize some properties of the Euclidean inner product to regular permutation inner products. As application, we construct a lot of cyclic codes with specific regular permutation hulls and also obtain the dimensions and distances of some BCH codes.
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Quaternionic Subspace Gabor Frames and Their Duals Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-07-14 Yun-Zhang Li, Xiao-Li Zhang
Due to its potential application in signal analysis and image processing, quaternionic Fourier analysis has received increasing attention. This paper addresses quaternionic subspace Gabor frames under the condition that the products of time-frequency shift parameters are rational numbers. We characterize subspace quaternionic Gabor frames in terms of quaternionic Zak transformation matrices. For an
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Approximating the closest structured singular matrix polynomial Linear Multilinear Algebra (IF 0.9) Pub Date : 2024-07-09 Miryam Gnazzo, Nicola Guglielmi
Consider a matrix polynomial P(λ)=A0+λA1+⋯+λdAd, with A0,…,Ad complex (or real) matrices with a certain structure. In this paper we discuss an iterative method to numerically approximate the closes...
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On the splitting iteration method for Pareto eigenvalue complementarity problems of H+-matrices Linear Multilinear Algebra (IF 0.9) Pub Date : 2024-07-10 Lu Zou, Yuan Lei
We present a class of inexact splitting-modulus iteration methods for solving the Pareto Eigenvalue Complementarity Problem (EiCP) when the system matrix A is an H+-matrix. Our method first employs...
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An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices Linear Multilinear Algebra (IF 0.9) Pub Date : 2024-07-10 Fanghong Nan, Teng Zhang
By using equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in Linear Algebra Appl. (2020;586), we improve a Rotfel'd type inequality for sectorial matrices derived by...
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On the Geometry of Quantum Spheres and Hyperboloids Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-07-13 Giovanni Landi, Chiara Pagani
We study two classes of quantum spheres and hyperboloids, one class consisting of homogeneous spaces, which are \(*\)-quantum spaces for the quantum orthogonal group \(\mathcal {O}(SO_q(3))\). We construct line bundles over the quantum homogeneous space associated with the quantum subgroup SO(2) of \(SO_q(3)\). The line bundles are associated to the quantum principal bundle via representations of SO(2)
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Explicit constructions of NMDS self-dual codes Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-12 Dongchun Han, Hanbin Zhang
Near maximum distance separable (NMDS) codes are important in finite geometry and coding theory. Self-dual codes are closely related to combinatorics, lattice theory, and have important application in cryptography. In this paper, we construct a class of q-ary linear codes and prove that they are either MDS or NMDS which depends on certain zero-sum condition. In the NMDS case, we provide an effective
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Enhanced schemes for resolution of the continuity equation in projection-based SPH Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-12 Takafumi Gotoh, Abbas Khayyer, Hitoshi Gotoh
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High-order complex Fourier numerical manifold method for improving the optimization of cracked structures Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-11 M. Kamalodini, S. Hamzehei-Javaran, S. Shojaee
In this paper, a combination of the high-order numerical manifold method with material interpolation is established with the goal of improving the optimization of cracked structures. Complex Fourier shape functions, known for their inherent advantages, are utilized as weight functions in the numerical manifold method. By implementing high-order analysis, the occurrence of checkerboard patterns is effectively
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New spence difference sets Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-10 James A. Davis, John Polhill, Ken Smith, Eric Swartz, Jordan Webster
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Numerical simulation of wave propagation by using a hybrid method with an arbitrary order accuracy in both spatial and temporal approximations Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-10 Haodong Ma, Wenxiang Sun, Wenzhen Qu, Yan Gu, Po-Wei Li
This paper introduces an innovative numerical methodology designed to achieve high precision solution of acoustic wave propagation problem in isotropic material. During the temporal discretization process, the Krylov deferred correction (KDC) technique is employed, wherein a new variable is introduced to handle the second-order time derivative in the governing equations. An improved strategy is adopted
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Strong-form meshless numerical modelling of visco-plastic material Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-10 Gašper Vuga, Boštjan Mavrič, Božidar Šarler
This work extends our research on the strong-form meshless Radial Basis Function - Finite Difference (RBF-FD) method for solving non-linear visco-plastic mechanical problems. The polyharmonic splines with second-order polynomial augmentation are used for the shape functions. Their coefficients are determined by collocation. Three different approaches (, and ) are used for the numerical evaluation of
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Uncertainty analysis of static fatigue of Hi-Nicalon bundles Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-09 N. Vu-Bac, An Hong Nguyen, Van Hai Luong
A premature failure resulting from a slow crack propagation in SiC based fibers can be predicted through a static fatigue testing. Uncertainty of various parameters at different scales, however, has to be taken into consideration to reduce discrepancy between experimental results and numerical simulations. A sequential uncertainty analysis procedure is thus proposed within a stochastic modeling framework
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The numerical manifold method for crack modeling in two-dimensional orthotropic composites Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-09 D.L. Guo, H.H. Zhang, X.L. Ji, S.Y. Han
Orthotropic composites are ubiquitous in engineering design, while the existence of cracks may significantly affect their reliability and lifetime. In this work, the numerical manifold method (NMM) is explored to investigate the fracture behavior of 2-D orthotropic solids with both non-intersecting and multi-branched cracks. Due to the use of dual-cover system (namely, mathematical cover and physical
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Hybrid radial kernel-based meshless method for the computational analysis of a two-dimensional Brusselator system Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-08 Manzoor Hussain
This article presents a simple and reliable kernel-based meshless approximation scheme to analyze the behavior of a two-dimensional coupled reaction–diffusion system. Combining the infinite smooth Gaussian radial kernel with a finitely smooth cubic radial kernel, a hybrid Gaussian-cubic kernel function is formulated to discretize the spatial differential operator. The solution is then advanced in time
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Implementing nonlinear least squares approach to simulate the dynamic response of laminated nanocomposite arch with magnetorheological elastomer matrix Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-08 Yuliang Zhang, Yuyang Li
This paper presents an investigation into the dynamics of deep arch structures constructed using an innovative composite material. The composite involves a magnetorheological elastomer (MRE) matrix strengthened by graphene platelets (GPLs) arranged with functionally graded patterns across laminated layers. The study commences by thoroughly characterizing the mechanical attributes of the MRE matrix
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On commutators of idempotents Linear Multilinear Algebra (IF 0.9) Pub Date : 2024-07-06 Roman Drnovšek
Let T be an operator on a Banach space X that is similar to −T via an involution U. Then,U decomposes the Banach space X as X=X1⊕X2 with respect to which decomposition we have U=(I100−I2), where Ii...
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Fredholm theory on Krein spaces and its application to pseudospectrum Linear Multilinear Algebra (IF 0.9) Pub Date : 2024-07-06 Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi
In this note, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss and ...
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Additivity of symmetric and subspace 2-designs Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-05 Marco Buratti, Anamari Nakić
A 2-\((v,k,\lambda )\) design is additive (or strongly additive) if it is possible to embed it in a suitable abelian group G in such a way that its block set is contained in (or coincides with) the set of all zero-sum k-subsets of its point set. Explicit results on the additivity or strong additivity of symmetric designs and subspace 2-designs are presented. In particular, the strong additivity of
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Vectorial negabent concepts: similarities, differences, and generalizations Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-05 Nurdagül Anbar, Sadmir Kudin, Wilfried Meidl, Enes Pasalic, Alexandr Polujan
In Pasalic et al. (IEEE Trans Inf Theory 69:2702–2712, 2023), and in Anbar and Meidl (Cryptogr Commun 10:235–249, 2018), two different vectorial negabent and vectorial bent-negabent concepts are introduced, which leads to seemingly contradictory results. One of the main motivations for this article is to clarify the differences and similarities between these two concepts. Moreover, the negabent concept
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Around LCD group codes Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-05 Javier de la Cruz, Wolfgang Willems
In this note we answer some questions on \(\text{ LCD }\) group codes posed in de la Cruz and Willems (Des Codes Cryptogr 86:2065–2073, 2018) and (Vietnam J Math 51:721–729, 2023). Furthermore, over prime fields we determine completely the p-part of the divisor of an \(\text{ LCD }\) group code. In addition we present a natural construction of nearly \(\text{ LCD }\) codes.
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Models of CR Manifolds and Their Symmetry Algebras Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-07-05 Jan Gregorovič, Martin Kolář, Francine Meylan, David Sykes
In this paper we give an exposition of several recent results on local symmetries of real submanifolds in complex space, featuring new examples and important corollaries. Departing from Levi non-degenerate hypersurfaces, treated in the classical Chern–Moser theory, we explore three important classes of manifolds, which naturally extend the classical case. We start with quadratic models for real submanifolds
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Three-dimensional fundamental solution for dynamic responses of a layered transversely isotropic saturated half-space using coupled thin-layer and complex frequency shifted perfectly matched layer method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-05 Hui Li, Chao He, Quanmei Gong, Xiaoxin Li, Xiaohui Zhang, Honggui Di, Shunhua Zhou
This paper establishes an efficient model for simulating wave propagation in a multi-layered transversely isotropic (TI) saturated medium. The complex frequency shifted perfectly matched layer (CFSPML) is integrated into the thin layer method (TLM) framework to address instability issues associated with the classical PML in TI media. The three-dimensional closed-form fundamental solution for dynamic
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Some self-dual codes and isodual codes constructed by matrix product codes Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-04 Xu Pan, Hao Chen, Hongwei Liu
In 2020, Cao et al. proved that any repeated-root constacyclic code is monomially equivalent to a matrix product code of simple-root constacyclic codes. In this paper, we study a family of matrix product codes with wonderful properties, which is a generalization of linear codes obtained from the \([u+v|u-v]\)-construction and \([u+v|\lambda ^{-1}u-\lambda ^{-1}v]\)-construction. Then we show that any
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A novel improved domain material point method for the cell-crossing instability problem Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-04 Wei Zhang, Fei Yan, Zhao-Feng Wang
This paper introduces an improved domain material point method (IDMPM) by scrutinizing the integration error of internal forces and considering the algorithmic properties of the standard material point method (MPM). The traditional uniform shape function is enhanced by designing internal and boundary elements separately, thus providing a distinct expression with an influence domain within the interval
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Scaled boundary finite element based two-level learning approach for structural flaw identification Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-04 Pugazhenthi Thananjayan, Sundararajan Natarajan, Ean Tat Ooi, Palaniappan Ramu
A comprehensive framework that combines classification and regression techniques through machine learning (ML) algorithms to address the inverse problem of flaw identification and quantification is proposed. The framework uses the scaled boundary finite element method (SBFEM) and quadtree (octree mesh in 3D) to compute displacements for various flaw shapes and specified boundary conditions. The flaw
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Numerical simulation of wave interaction with porous structure using the coupled Volume-Of-Fluid (VOF) and Darcy-Brinkman-Forchheimer model Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-03 Faroogh Garoosi, Apostolos Kantzas, Mazda Irani
In the present study, the hydrodynamic characteristics of multi-fluid flow through porous structure are numerically analyzed using the coupled VOF and non-linear Darcy-Brinkman-Forchheimer model. The main objective is to create state-of-the-art benchmark solutions and a modern dataset for validating Computational Fluid Dynamics (CFD). The governing equations, incorporating mass, Navier-Stokes, and
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Associative approximation of Galerkin and FVM for the HMC fully coupled model under the NMM framework Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-03 Shu-Qing Wang, Hong Zheng, Zhi-Hong Zhang
The numerical solution of the hydro-mechanical-chemical (HMC) fully coupled equations in porous media faces significant challenges due to spurious oscillation in pore pressure and concentration caused by locking and convection dominance. This study proposes a combination of two different discretization schemes: (1) the Galerkin discretization on the primal mesh for the soil skeleton deformation, and
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Fitted meshes on an unfitted grid based on scaled boundary finite element analysis Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-03 V.S. Suvin, M. Arrutselvi, Ean Tat Ooi, Chongmin Song, Sundararajan Natarajan
Traditional domain based discretization techniques (both mesh based and meshless methods), require a conforming discretization to capture the boundary/interfaces present in a structure. This increases the computational burden when the boundary/interface is complex and when the morphology of it changes with time. In this paper, we present a ‘’ technique to generate fitted meshes on an unfitted background
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The volume of an isocanted cube is a determinant* Linear Multilinear Algebra (IF 0.9) Pub Date : 2024-07-03 M. J. de la Puente, P. L. Clavería
In any dimension d≥2, we give exact volume formulas of two mutually polar dual convex d-polytopes. The primal body is called isocanted cube of dimension d, depending on two real parameters 0
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Some constacyclic BCH codes with good parameters Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-07-02 Jin Li, Huilian Zhu, Shan Huang
BCH codes as a subclass of constacyclic BCH codes have been widely studied, while the results on the parameters of BCH codes over finite fields are still very limited. In this paper, we investigate some q-ary BCH codes and \(\lambda \)-constacyclic BCH codes of length \(q^{m}+1\), where q is a prime power and \(\textrm{ord}(\lambda )\mid q-1\). We determine the dimensions of these codes with some large
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The Clifford Algebra of the Density Matrix: An Elementary Approach Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-06-29 Pedro Amao, Hernan Castillo
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A Multi-dimensional Unified Concavity and Convexity Detection Method Based on Geometric Algebra Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-07-02 Jiyi Zhang, Huanhuan Liu, Tianzi Wei, Ruitong Liu, Chunwang Jia, Fan Yang
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Anisotropic peridynamic simulation of dynamic response of PBX containing polycrystalline HMX under low velocity impact Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-02 Qingfu Hu, Xiaoliang Deng, Wenyang Liu
Numerical modeling of non-shock ignition of polymer-bonded explosive (PBX) is a challenging yet significant research topic in terms of PBX safety. This study develops a novel mechanical-thermal-chemical coupled peridynamic (PD) model comprising anisotropic dynamic response of polycrystalline HMX (octahydro-1,3,5,7-tetranitro-1,2,3,5-tetrazocine) crystals in PBX. Unlike prior simulation approaches that
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Multi-grid methods of stable generalized finite element methods for interface problems Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-07-01 Wenbo Gong, Qinghui Zhang
The stable generalized finite element method (SGFEM) for interface problems uses simple mesh that is independent of interface curves and is optimally convergent, well conditioned, robust, and free from any penalty parameters. This study proposes multi-grid (MG)-based fast solvers for the SGFEM of interface problems. The difficulty is that (a) the stiffness matrix is not a standard finite element (FE)
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A group theory based topology optimization scheme for the design of inhomogeneous waveguides with dihedral group symmetries Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-06-29 Peiwen Chu, Yifan Li, Zhicheng He, Eric Li, Ozlem Ozgun, Guy A.E. Vandenbosch, Xuezhi Zheng
In this paper, we introduce a novel topology optimization scheme dedicated to designing waveguides with inhomogeneities holding rotation and reflection symmetries. To fully exploit the symmetry features of the guide, we build the scheme by first developing a new computational algorithm that combines the Finite Element Method (FEM) with the group representation theory (GRT), i.e., the GRT – FEM algorithm
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Constructions for t-designs and s-resolvable t-designs Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-06-27 Tran van Trung
The purpose of the present paper is to introduce recursive methods for constructing simple t-designs, s-resolvable t-designs, and large sets of t-designs. The results turn out to be very effective for finding these objects. In particular, they reveal a fundamental property of the considered designs. Consequently, many new infinite series of simple t-designs, t-designs with s-resolutions and large sets
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Security analysis of the ISO standard $$\textsf{OFB}$$ - $$\textsf{DRBG}$$ Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-06-27 Woohyuk Chung, Hwigyeom Kim, Jooyoung Lee, Yeongmin Lee
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A survey of compositional inverses of permutation polynomials over finite fields Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-06-27 Qiang Wang
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Finding orientations of supersingular elliptic curves and quaternion orders Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-06-26 Sarah Arpin, James Clements, Pierrick Dartois, Jonathan Komada Eriksen, Péter Kutas, Benjamin Wesolowski
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Affine vector space partitions and spreads of quadrics Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-06-27 Somi Gupta, Francesco Pavese
An affine spread is a set of subspaces of \(\textrm{AG}(n, q)\) of the same dimension that partitions the points of \(\textrm{AG}(n, q)\). Equivalently, an affine spread is a set of projective subspaces of \(\textrm{PG}(n, q)\) of the same dimension which partitions the points of \(\textrm{PG}(n, q) \setminus H_{\infty }\); here \(H_{\infty }\) denotes the hyperplane at infinity of the projective closure
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Seismic performance of underground subway station structure near the strike-slip fault by the developed hybrid IBE-FEM method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-06-27 Ying Liu, Haiyang Zhuang, Ji Zhang, Zhongxian Liu
To investigate the influence of strike-slip faults on the seismic responses of underground structures, based on the single-layer potential theory of the boundary element concept and the fault-site-underground structure coupling mechanisms, we proposed a hybrid indirect boundary element-finite element numerical method (IBE-FEM) to simulate efficiently the seismic response of the entire process from
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Frictional contact analysis between two-dimensional deformable anisotropic magneto-electro-elastic bodies via a semi-analytical method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-06-26 Van Thuong Nguyen, Nguyen Dinh Duc
In this paper, we utilize the surface Green's function of a magneto-electro-elastic (MEE) half-plane as a general analytical kernel to develop a semi-analytical method (SAM). This SAM is designed to solve the two-dimensional contact problems of two dissimilar deformable anisotropic MEE bodies. Using the surface Green's function, the associated influence matrices in SAM can be obtained in a closed mathematical
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An isogeometric analysis of solar panels with a bio-inspired substrate Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-06-26 Nam V. Nguyen, Kim Q. Tran, Dieu T.T. Do, Chien H. Thai, Krzysztof Kamil Żur, H. Nguyen-Xuan
We in this paper propose a high-performance design using bio-inspired metamaterials for multilayered perovskite solar cell (MPSC) plates. The static bending and free vibrational responses of the newly designed MPSC panels with the presence of the triply periodic minimal surface (TPMS) substrate are subsequently investigated numerically. The displacements of the present plate model are then approximated
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On the maximum size of variable-length non-overlapping codes Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-06-25 Geyang Wang, Qi Wang
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Convex Characteristics of Quaternionic Positive Definite Functions on Abelian Groups Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-06-25 Jingning Liu, Zeping Zhu
This paper is concerned with the topological space of normalized quaternion-valued positive definite functions on an arbitrary abelian group G, especially its convex characteristics. There are two main results. Firstly, we prove that the extreme elements in the family of such functions are exactly the homomorphisms from G to the sphere group \({\mathbb {S}}\), i.e., the unit 3-sphere in the quaternion
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More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-06-24 M. Elena Luna–Elizarrarás, Anatoly Golberg
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Integral Formulas for Slice Cauchy–Riemann Operator and Applications Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-06-24 Chao Ding, Xiaoqian Cheng
The theory of slice regular functions has been developed rapidly in the past few years, and most properties are given in slices at the early stage. In 2013, Colombo et al. introduced a non-constant coefficients differential operator to describe slice regular functions globally, and this brought the study of slice regular functions in a global sense. In this article, we introduce a slice Cauchy–Riemann
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Analytic solution of the free boundary problem for porous media flow using a conformal map validated by the boundary element method Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-06-24 Faisal Muteb K. Almalki, Michael H. Meylan
This paper presents an analytic approach to solving the classical problem of free boundary porous media flow. The solution is found by constructing an operator, derived from a conformal map, which is then reduced to a matrix and inverted. This matrix is then used to solve a system of linear equations with all terms in the matrix calculated exactly. To confirm the solution, we made a comparison with
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A nonconforming surface mesh generation method by binary tree Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-06-22 Jianming Zhang, Chong Zhang, Rongxiong Xiao, Baotao Chi
Computer-aided engineering (CAE) has emerged as an indispensable tool for facilitating engineering practices and driving industrial innovation. However, the insufficient quality and efficiency of discretizing complex computer-aided design (CAD) models significantly impede the advancement of CAE calculation accuracy and automation. The presence of “dirty” geometry leads to the fact that it is almost
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A 2D equivalent linear inversion model of bedrock motions in a layered transversely isotropic half-space Eng. Anal. Bound. Elem. (IF 4.2) Pub Date : 2024-06-21 Ping Zhang, Jianwen Liang, Zhenning Ba
Inversion is the process that evaluates input motion on the bedrock from surface motions, primarily for use as input excitation for site seismic response or soil-structure interaction analyses. The paper presents a two-dimensional (2D) equivalent linear inversion model for bedrock motion in a multi-layered transversely isotropic (TI) half-space. Based on the exact dynamic stiffness matrices of TI soil
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The existence of $$(\mathbb {Z}_v,4,1)$$ -disjoint difference families Des. Codes Cryptogr. (IF 1.4) Pub Date : 2024-06-20 Xinyue Ming, Tao Feng, Guojing Jia, Xiaomiao Wang
This paper shows that a \((\mathbb {Z}_v,4,1)\)-disjoint difference family exists if and only if \(v\equiv 1\pmod {12}\) and \(v\ne 25\) by giving suitable translations of base blocks of a \((\mathbb {Z}_v,4,1)\)-cyclic difference family. The Combinatorial Nullstellensatz finds its application in constructing disjoint difference families.
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On Symmetries of Geometric Algebra Cl(3, 1) for Space-Time Adv. Appl. Clifford Algebras (IF 1.1) Pub Date : 2024-06-20 Eckhard Hitzer
From viewpoints of crystallography and of elementary particles, we explore symmetries of multivectors in the geometric algebra Cl(3, 1) that can be used to describe space-time.