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On optimal constant weight codes derived from $$\omega $$ -circulant balanced generalized weighing matrices Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-05-14 Hadi Kharaghani, Thomas Pender, Vladimir Tonchev
Balanced generalized weight matrices are used to construct optimal constant weight codes that are monomially inequivalent to codes derived from the classical simplex codes. What’s more, these codes can be assumed to be generated entirely by \(\omega \)-shifts of a single codeword where \(\omega \) is a primitive element of a Galois field. Additional constant weight codes are derived by projecting onto
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The parallel sum in C*-algebras Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-05-13 Ali Zamani, Hasan Karimi, Qingxiang Xu
Let A be a unital C∗-algebra with unit e and let a:b be the parallel sum of the two positive definite elements a and b of A defined by a(a+b)−1b. We show that the parallel sum a:b can be stated by ...
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Hausdorff–Young Inequalities for Fourier Transforms over Cayley–Dickson Algebras Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-05-10 Shihao Fan, Guangbin Ren
In this study, we extend Beckner’s seminal work on the Fourier transform to the domain of Cayley–Dickson algebras, establishing a precise form of the Hausdorff–Young inequality for functions that take values in these algebras. Our extension faces significant hurdles due to the unique characteristics of the Cayley–Dickson Fourier transform. This transformation diverges from the classical Fourier transform
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Lifting iso-dual algebraic geometry codes Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-05-07 María Chara, Ricardo Podestá, Luciane Quoos, Ricardo Toledano
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Machine Learning Clifford Invariants of ADE Coxeter Elements Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-05-04 Siqi Chen, Pierre-Philippe Dechant, Yang-Hui He, Elli Heyes, Edward Hirst, Dmitrii Riabchenko
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An Eulerian–Lagrangian method of fundamental solutions for the advection–diffusion equation with time dependent coefficients Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-08 Carlos Eduardo Rambalducci Dalla, Wellington Betencurte da Silva, Julio Cesar Sampaio Dutra, Marcelo José Colaço
This paper investigates the application of the Eulerian–Lagrangian method of fundamental solutions (ELMFS), a truly meshless method that couples the Euler–Lagrange Method (ELM) with the time-dependent method of fundamental solution (MFS). It is applied to solve the transient advection–diffusion equation with transport coefficients exhibiting constant and temporally exponential behaviors. The stability
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Nice operators and nice spaces Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-05-08 Sasan Amiri, Azin Golbaharan, Hakimeh Mahyar
In this paper we obtain a necessary and sufficient condition for an operator on a uniform algebra to be nice. We characterize nice operators on an expansive class of Banach spaces. Then as examples...
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Extremal marginals of an unbounded local completely positive and local completely contractive map Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-05-07 Maria Joiţa
In this paper, we consider the unbounded local completely positive and local completely contractive maps on a maximal tensor product of unital locally C∗-algebras and discuss on extremal points of ...
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Convolution quadrature time-domain boundary element method for antiplane anisotropic viscoelastic wave propagation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-03 T. Saitoh
This paper presents a Convolution Quadrature Time-Domain Boundary Element Method (CQBEM) for antiplane anisotropic viscoelastodynamics. The proposed CQBEM formulation employs the standard linear viscoelastic model and the fundamental solution developed by Wang and Achenbach for expressing viscoelastic and anisotropic properties, respectively. This fundamental solution, which involves integration over
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Generalized Finite Integration Method with Laplace transform for European option pricing under Black–Scholes and Heston models Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-03 Y. Ma, C.Z. Shi, Y.C. Hon
In this paper, we combine a recently developed Generalized Finite Integration Method (GFIM) with Laplace transform technique for pricing options under the Black Scholes model and Heston model respectively. Instead of using traditional time-stepping process, we first perform Laplace transform on the governing equation and boundary conditions to remove the temporal derivatives. The Generalized Finite
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Yoyo attack on 4-round Lai-Massey scheme with secret round functions Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-05-03 Le Dong, Danxun Zhang, Wenya Li, Wenling Wu
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A SBFEM formula for the mixed-order hexahedron interpolation based on serendipity elements Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-02 Xiupeng Nie, Degao Zou, Kai Chen, Xianjing Kong, Guoyang Yi
The hexahedron elements have been widely used in theoretical research and engineering applications because of their simple formulation and fine analytical performance. In this paper, a flexible mixed-order hexahedron interpolation is proposed based on the SBFEM theory, which is summarized as follows: (1) The interpolation functions are constructed for boundary surfaces by introducing the “Serendipity
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Boundary element method for bending-extension coupling shear deformable laminated composite plates with multiple stiffeners Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-02 Chia-Wen Hsu, Christian Mittelstedt, Chyanbin Hwu
In general, the laminated composite plates and stiffeners may exhibit the bending-extension coupling effect with the transverse shear deformations significantly induced. In this paper, for the first time we develop the associated boundary element method (BEM) for bending-extension coupling shear deformable laminated composite plates with multiple beams attached as stiffeners. Based upon the first order
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An improved algorithm for Finite Particle Method considering Lagrange-type remainder Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-02 Yang Yang, Yaoyu Li, Fei Xu
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Characterization of weakly regular p-ary bent functions of $$\ell $$ -form Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-05-02 Jong Yoon Hyun, Jungyun Lee, Yoonjin Lee
We study the essential properties of weakly regular p-ary bent functions of \(\ell \)-form, where a p-ary function is from \(\mathbb {F}_{p^m}\) to \(\mathbb {F}_p\). We observe that most of studies on a weakly regular p-ary bent function f with \(f(0)=0\) of \(\ell \)-form always assume the gcd-condition: \(\gcd (\ell -1,p-1)=1\). We first show that whenever considering weakly regular p-ary bent functions
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Computing gluing and splitting $$(\ell ,\ell )$$ -isogenies Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-05-02 Song Tian
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Optimal $$(r,\delta )$$ -LRCs from monomial-Cartesian codes and their subfield-subcodes Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-05-02 C. Galindo, F. Hernando, H. Martín-Cruz
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Boundary Elements and other mesh reduction methods for Finance, Economics, Probability and Statistics Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-01 Luca Vincenzo Ballestra, Chiara Guardasoni
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An efficient unstructured quadrilateral-dominated surface mesh generation method for arbitrary geometry with tiny features or crack defects in DiBFM Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-30 Baotao Chi, Zhichao Jia, Sizhe Niu, Wei Yuan, Qianjian Guo, Yaoming Zhang
An efficient unstructured quadrilateral-dominated surface mesh generation algorithm is presented to generate high-quality surface elements for arbitrary geometry with tiny features or crack defects. For complex entities with proximity features, a novel type of meshing template has been proposed to solve the problem of entity boundary fitting of the outside-in grid-based method. The algorithm also works
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On the packing density of Lee spheres Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-30 Ang Xiao, Yue Zhou
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A multi-layer SPH method to simulate water-soil coupling interaction-based on a new wall boundary model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-29 Fang He, Yuxin Chen, Liqin Wang, Shuzhao Li, Can Huang
Based on the smoothed particle hydrodynamics (SPH), a multi-layer particle method is established to accurately simulate the deformation and motion of the water-soil coupling interaction, considering the seepage process and the variation of the volume fractions of water and soil. The weakly compressible model is used for water, while the Drucker-Prager elastoplastic constitutive model is employed for
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A meshfree method for the nonlinear KdV equation using stabilized collocation method and gradient reproducing kernel approximations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-29 Zhiyuan Xue, Yijia Liu, Lihua Wang, Magd Abdel Wahab
A gradient reproducing kernel based stabilized collocation method (GRKSCM) to numerically solve complicated nonlinear Korteweg-de Vries (KdV) equation is proposed in this paper. The acquisition of GRK through high-order consistency conditions reduces the complexity of RK derivative operations and remarkably improves the effectiveness of the proposed method by directly forming GRK approximations. Owing
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Special directions on the finite affine plane Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-29 Gergely Kiss, Gábor Somlai
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Subgroup total perfect codes in Cayley sum graphs Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-29 Xiaomeng Wang, Lina Wei, Shou-Jun Xu, Sanming Zhou
Let \(\Gamma \) be a graph with vertex set V, and let a, b be nonnegative integers. An (a, b)-regular set in \(\Gamma \) is a nonempty proper subset D of V such that every vertex in D has exactly a neighbours in D and every vertex in \(V \setminus D\) has exactly b neighbours in D. In particular, a (1, 1)-regular set is called a total perfect code. Let G be a finite group and S a square-free subset
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Non-exposed polyhedral faces of the completely positive cone Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-04-29 O. I. Kostyukova
In this paper, we consider the cone of p×p completely positive matrices CP(p). Currently, some families of non-exposed faces of the 5×5 completely positive cone CP(5) were constructed. Inspired by ...
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On eigenvalues of certain special matrices Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-04-29 Manisha Devi, Jaspal Singh Aujla
Let g:R→[0,∞) be a conditionally negative definite function and f:[0,∞)→[0,∞) be a Bernstein function. We prove that the function h=f∘g is conditionally negative definite and that for distinct real...
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Small weight codewords of projective geometric codes II Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-28 Sam Adriaensen, Lins Denaux
The \(p\)-ary linear code \(\mathcal {C}_{k}\!\left( n,q\right) \) is defined as the row space of the incidence matrix \(A\) of \(k\)-spaces and points of \(\textrm{PG}\!\left( n,q\right) \). It is known that if \(q\) is square, a codeword of weight \(q^k\sqrt{q}+\mathcal {O}\!\left( q^{k-1}\right) \) exists that cannot be written as a linear combination of at most \(\sqrt{q}\) rows of \(A\). Over
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Further results on covering codes with radius R and codimension $$tR+1$$ Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-27 Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
The length function \(\ell _q(r,R)\) is the smallest possible length n of a q-ary linear \([n,n-r]_qR\) code with codimension (redundancy) r and covering radius R. Let \(s_q(N,\rho )\) be the smallest size of a \(\rho \)-saturating set in the projective space \(\textrm{PG}(N,q)\). There is a one-to-one correspondence between \([n,n-r]_qR\) codes and \((R-1)\)-saturating n-sets in \(\textrm{PG}(r-1
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Exploring Quaternion Neural Network Loss Surfaces Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-04-24 Jeremiah Bill, Bruce Cox
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Time-dependent nonlinear collocation method and stability analysis for natural convection problems Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-23 Judy P. Yang, Yu-Ruei Chen
A time-dependent nonlinear framework based on meshfree collocation is proposed for solving natural convection problems involving multi-phases, in which the third-order Runge-Kutta method is introduced for temporal discretization while the two-step Newton-Raphson method is adopted for nonlinear iteration. To reduce the number of field variables, the common stream function-velocity equation is not directly
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Fractional Elliptic Operators with Multiple Poles on Riemannian Manifold with Clifford Bundle Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-04-23 Rami Ahmad El-Nabulsi, Waranont Anukool
We introduce new types of fractional generalized elliptic operators on a compact Riemannian manifold with Clifford bundle. The theory is applicable in well-defined differential geometry. The Connes-Moscovici theorem gives rise to dimension spectrum in terms of residues of zeta functions, applicable in the presence of multiple poles. We have discussed the problem of scalar fields over the unit co-sphere
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Development of integrated radial basis function Kriging interpolation for linear and nonlinear parabolic integro-differential equations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-22 Ali Ebrahimijahan, Yadollah Ordokhani, Mohsen Razzaghi
In this study, we explore linear and nonlinear parabolic integro-differential equations in one and two dimensions. We employ a semi-implicit scheme to discretize the temporal variable and discretize the spatial variable using an integrated radial basis function based on the moving Kriging interpolation (MKI) method. Unlike the global integrated radial basis function (IRBF) method, our proposed approach
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A coupled SBFEM-IBIEM method for the solution of wave scattering by a hill with fissures under SV waves Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-22 Hai Zhang, Ziqi Song, Dai Wang, Zhongxian Liu, Zhifeng Dai
A coupled SBFEM (Scaled Boundary Finite Element Method)-IBIEM (Indirect Boundary Integral Equation Method) method is developed to investigate the wave scattering by a hill with fissures under SV waves, and some influence factors are discussed in detail. The results show that the larger the fissure, the more obvious the amplification effect, but the peak surface displacement of the hill is not necessarily
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Using $$P_\tau $$ property for designing bent functions provably outside the completed Maiorana–McFarland class Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-22 Enes Pasalic, Amar Bapić, Fengrong Zhang, Yongzhuang Wei
In this article, we identify certain instances of bent functions, constructed using the so-called \(P_\tau \) property, that are provably outside the completed Maiorana–McFarland (\({\mathcal{M}\mathcal{M}}^\#\)) class. This also partially answers an open problem in posed by Kan et al. (IEEE Trans Inf Theory, https://doi.org/10.1109/TIT.2022.3140180, 2022). We show that this design framework (using
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Very good gradings on matrix rings are epsilon-strong Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-04-22 Patrik Lundström, Johan Öinert, Laura Orozco, Héctor Pinedo
We investigate properties of group gradings on matrix rings Mn(R), where R is an associative unital ring and n is a positive integer. More precisely, we introduce very good gradings and show that a...
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Chain-imprimitive, flag-transitive 2-designs Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-20 Carmen Amarra, Alice Devillers, Cheryl E. Praeger
We consider 2-designs which admit a group of automorphisms that is flag-transitive and leaves invariant a chain of nontrivial point-partitions. We build on our recent work on 2-designs which are block-transitive but not necessarily flag-transitive. In particular we use the concept of the “array” of a point subset with respect to the chain of point-partitions; the array describes the distribution of
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Maximizing the projection/minimizing the mass gap to choose optimal source points in the MFS for 2D and 3D Laplace equations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-19 Chein-Shan Liu, Chung-Lun Kuo
Two novel methods are developed to generate the optimal method of fundamental solutions (MFS), of which the offset to locate source points from the domain’s boundary is optimized. First the maximal projection method (MPM), together with a new idea of a simple substitution function being inserted into the derived merit function, can choose a better offset; then a better numerical solution is achieved
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A fully explicit incompressible smoothed particle hydrodynamics method for simulating 2-D electrohydrodynamic multi-phase flows based on leaky dielectric model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-19 Mehran Vakilha, Joel R. Karp, Manuel Hopp-Hirschler, Somchai Wongwises, Mostafa S. Shadloo
This paper presents a fully explicit two-dimensional electrohydrodynamics (EHD) numerical model, which scrutinizes multiphase flows’ dynamics and interactions when exposed to an external electric field. The electrostatic phenomena are interconnected with hydrodynamics through the resolution of the Maxwell’s equations, which are simplified along with its boundary conditions based on the leaky dielectric
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Meet-in-the-middle attacks on AES with value constraints Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-18 Xiaoli Dong, Jun Liu, Yongzhuang Wei, Wen Gao, Jie Chen
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Strictly monotone sequences of lower and upper bounds on Perron values and their combinatorial applications Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-04-17 Sooyeong Kim, Minho Song
In this paper, we present monotone sequences of lower and upper bounds on the Perron value of a nonnegative matrix, and we study their strict monotonicity. Using those sequences, we provide two com...
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Quasi-consistent efficient meshfree thin shell formulation with naturally stabilized enforced essential boundary conditions Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-17 Junchao Wu, Yangtao Xu, Bin Xu, Syed Humayun Basha
This research proposed an efficient and quasi-consistent meshfree thin shell formulation with naturally stabilized enforcement of essential boundary conditions. Within the framework of the Hu–Washizu variational principle, a mixed formulation of displacements, strains and stresses is employed in this approach, where the displacements are discretized using meshfree shape functions, and the strains and
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Multidimensional Generalized Fractional $${\pmb {S}}$$ Transform Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-04-17 Lakshmanan Subbiah, Roopkumar Rajakumar
In this paper, we introduce a new multidimensional fractional S transform \(S_{\phi ,\varvec{\alpha },\lambda }\) using a generalized fractional convolution \(\star _{\varvec{\alpha },\lambda }\) and a general window function \(\phi \) satisfying some admissibility condition. The value of \(S_{\phi ,\varvec{\alpha },\lambda }f\) is also written in the form of inner product of the input function f with
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Fixed point groups of involutions of type O(q,k) over a field of characteristic two Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-04-15 Mark Hunnell, John Hutchens
For G=O(q,k), the orthogonal group over a field k of characteristic 2 with respect to a quadratic form q, we discuss the G-conjugacy classes of fixed points of involutions. When the quadratic spac...
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Computing a compact local Smith–McMillan form Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-04-15 Vanni Noferini, Paul Van Dooren
We define a compact local Smith–McMillan form of a rational matrix R(λ) as the diagonal matrix whose diagonal elements are the nonzero entries of a local Smith-McMillan form of R(λ). We show that a...
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Symmetric 2-adic complexity of Tang–Gong interleaved sequences from generalized GMW sequence pair Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-16 Bo Yang, Kangkang He, Xiangyong Zeng, Zibi Xiao
Tang–Gong interleaved sequences constructed from the generalized GMW sequence pair are a class of binary sequences with optimal autocorrelation magnitude. In this paper, the symmetric 2-adic complexity of these sequences is investigated. We first derive a lower bound on their 2-adic complexity by extending the method proposed by Hu. Then, by analysing the algebraic structure of these sequences, a lower
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Constructing linked systems of relative difference sets via Schur rings Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-16 Mikhail Muzychuk, Grigory Ryabov
In the present paper, we study relative difference sets (RDSs) and linked systems of them. It is shown that a closed linked system of RDSs is always graded by a group. Based on this result, we also define a product of RDS linked systems sharing the same grading group. Further, we generalize the Davis-Polhill-Smith construction of a linked system of RDSs. Finally, we construct new linked system of RDSs
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Fast decoding of lifted interleaved linearized Reed–Solomon codes for multishot network coding Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-16 Hannes Bartz, Sven Puchinger
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Multi-material topology optimization for additive manufacturing considering maximum build volume and assembly process Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-15 Yukun Feng, Takayuki Yamada
While topology optimization is promising for additive manufacturing structures, challenges arise in designing multi-material assemblies. The size often surpasses additive manufacturing build volumes, hindering successful manufacturing. Additionally, intricate topology-optimized structures complicate the assembly and decomposition of multiple material components. Addressing the aforementioned issues
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Lengths of divisible codes: the missing cases Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-13 Sascha Kurz
A linear code C over \({\mathbb {F}}_q\) is called \(\Delta \)-divisible if the Hamming weights \({\text {wt}}(c)\) of all codewords \(c \in C\) are divisible by \(\Delta \). The possible effective lengths of \(q^r\)-divisible codes have been completely characterized for each prime power q and each non-negative integer r in Kiermaier and Kurz (IEEE Trans Inf Theory 66(7):4051–4060, 2020). The study
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Galerkin finite block method with Lagrange multipliers method for cracked solids in functionally graded materials Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-12 Y.R. Zhou, W. Huang, J.J. Yang, P.H. Wen
This paper presents the application of the Galerkin Finite Block Method (GFBM) to address cracked solids associated with Functionally Graded Materials (FGMs), leveraging the foundational principles of the Galerkin method. The equilibrium equations pertinent to FGMs are articulated in their weak form. Employing Chebyshev polynomials as shape functions, the GFBM integrates mapping techniques to accommodate
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An efficient numerical algorithm to solve steady state heat conduction problems with local uncertainty Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-12 Xiaoqi Guo, Haitian Yang, Yiqian He
A computational cost-effective algorithm is proposed to solve steady-state heat conduction problems with uncertain thermal conductivity which appears locally at some part of structures. Such local uncertainty is assumed to be induced by a crack or notch, and modelled by probability or interval models. The deterministic steady-state heat conduction problem is formulated by the Scaled Boundary Finite
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Retraction notice to “Utilization of machine learning and neural networks to optimize the enclosure angle, magnetic field, and radiation parameter for mixed convection of hybrid nanofluid flow next to assess environmental impact” [Engineering Analysis with Boundary Elements 146 (2023) 252-262] Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Tao Hai, Hayder A. Dhahad, Masood Ashraf Ali, Vishal Goyal, Sattam Fahad Almojil, Abdulaziz Ibrahim Almohana, Abdulrhman Fahmi Alali, Khaled Twfiq Almoalimi, Farah Qasim Ahmed Alyousuf
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Retraction notice to “Analyzing geometric parameters in inclined enclosures filled with magnetic nanofluid using artificial neural networks” [Engineering Analysis with Boundary Elements 146 (2023) 555-568] Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Tao Hai, Sameer Alsharif, Masood Ashraf Ali, Pradeep Kumar Singh, As'ad Alizadeh
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Topology optimization of orthotropic multi-material structures with length-scale control based on element-free Galerkin method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Jianping Zhang, Shixiong Wu, Haiming Zhang, Lei Zhao, Zhijian Zuo, Shuying Wu
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Numerical simulation of coupled Klein–Gordon–Schrödinger equations: RBF partition of unity Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-10 Babak Azarnavid, Mojtaba Fardi, Soheila Mohammadi
The coupled Klein–Gordon–Schrödinger equations have significant implications in quantum field theory, particle physics, cosmology, and nonlinear dynamics. In this study, we propose an efficient method for numerically simulating this system. The proposed approach involves employing the radial basis function partition of unity for spatial discretization. This method utilizes scaled Lagrange basis functions
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New constructions of signed difference sets Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-10 Zhiwen He, Tingting Chen, Gennian Ge
Signed difference sets have interesting applications in communications and coding theory. A \((v,k,\lambda )\)-difference set in a finite group G of order v is a subset D of G with k distinct elements such that the expressions \(xy^{-1}\) for all distinct two elements \(x,y\in D\), represent each non-identity element in G exactly \(\lambda \) times. A \((v,k,\lambda )\)-signed difference set is a generalization
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Algebraic properties of the maps $$\chi _n$$ Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-04-10 Jan Schoone, Joan Daemen
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Data-driven prediction of aerodynamic noise of transonic buffeting over an airfoil Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-09 Qiao Zhang, Xu Wang, Dangguo Yang, Weiwei Zhang
Accurately predicting buffet frequency and aerodynamic noise level is crucial in transonic buffet noise reduction studies. In this study, the Random Forest (RF) algorithm is employed to predict the Power Spectral Density (PSD) and Overall Sound Pressure Level (OASPL) distribution over the supercritical airfoil RAE2822. The study indicates that the RF algorithm exhibits greater advantages over the Multi-Layer
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A particle-based computational framework for damage assessment in a concrete dam-reservoir system under seismic loading Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-09 Tapan Jana, Amit Shaw, L.S. Ramachandra
A sudden failure of a concrete gravity dam can cause a huge economic loss and untold human tragedy. An earthquake of high magnitude is one of the reasons for this failure. Numerical simulation provides significant insight into dam fracture and damage evolution. Here, a particle-based computational framework is developed to investigate the failure of a concrete gravity dam-reservoir system exposed to
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A Note on Cohomology of Clifford Algebras Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-04-09 Bikram Banerjee, Goutam Mukherjee
In this article we construct a cochain complex of a complex Clifford algebra with coefficients in itself in a combinatorial fashion and we call the corresponding cohomology by Clifford cohomology. We show that Clifford cohomology controls the deformation of a complex Clifford algebra and can classify them up to Morita equivalence. We also study Hochschild cohomology groups and formal deformations of