Results 11 to 20 of about 562,872 (260)
Tight frames, Hadamard matrices and Zauner’s conjecture [PDF]
Journal of Physics A: Mathematical and Theoretical, 2019 We show that naturally associated to a SIC (symmetric informationally complete positive operator valued measure or SIC-POVM) in dimension d there are a number of higher dimensional structures: specifically a projector and complex Hadamard matrix in ...
David Marcus Appleby +3 more
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Constructing cocyclic Hadamard matrices of order 4p [PDF]
Journal of combinatorial designs (Print), 2019 Cocyclic Hadamard matrices (CHMs) were introduced by de Launey and Horadam as a class of Hadamard matrices (HMs) with interesting algebraic properties.
Santiago Barrera Acevedo +2 more
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Real entries of complex Hadamard matrices and mutually unbiased bases in dimension six [PDF]
Linear and multilinear algebra, 2019 We investigate the number of real entries of an complex Hadamard matrix. We analytically derive the numbers when n = 2, 3, 4, 6. In particular, the number can be any one of 0–22, 24, 25, 26, 30 for n = 6.
Mengfan Liang +4 more
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Balancedly splittable Hadamard matrices [PDF]
Discrete Mathematics, 2018 Balancedly splittable Hadamard matrices are introduced and studied. A connection is made to the Hadamard diagonalizable strongly regular graphs, maximal equiangular lines set, and unbiased Hadamard matrices. Several construction methods are presented. As
H. Kharaghani, Sho Suda
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Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev +2 more
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Graph switching, 2-ranks, and graphical Hadamard matrices [PDF]
Discrete Mathematics, 2018 We study the behaviour of the 2-rank of the adjacency matrix of a graph under Seidel and Godsil-McKay switching, and apply the result to graphs coming from graphical Hadamard matrices of order $4^m$.
A. Abiad, S. Butler, W. Haemers
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Spectral Decomposition of Gramians of Continuous Linear Systems in the Form of Hadamard Products
Mathematics, 2023 New possibilities of Gramian computation, by means of canonical transformations into diagonal, controllable, and observable canonical forms, are shown. Using such a technique, the Gramian matrices can be represented as products of the Hadamard matrices ...
Igor Yadykin
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Orderly generation of Butson Hadamard matrices [PDF]
Mathematics of Computation, 2017 In this paper Butson-type complex Hadamard matrices $\mathrm{BH}(n,q)$ of order $n$ and complexity $q$ are classified for small parameters by computer-aided methods.
P. Östergård +2 more
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Hadamard Matrices Modulopand Small Modular Hadamard Matrices [PDF]
Journal of Combinatorial Designs, 2016 AbstractWe use modular symmetric designs to study the existence of Hadamard matrices modulo certain primes. We solve the 7‐modular and 11‐modular versions of the Hadamard conjecture for all but a finite number of cases. In doing so, we state a conjectural sufficient condition for the existence of ap‐modular Hadamard matrix for all but finitely many ...
openaire +3 more sources
On Efficient Constructions of Lightweight MDS Matrices
IACR Transactions on Symmetric Cryptology, 2018 The paper investigates the maximum distance separable (MDS) matrix over the matrix polynomial residue ring. Firstly, by analyzing the minimal polynomials of binary matrices with 1 XOR count and element-matrices with few XOR counts, we present an ...
Lijing Zhou, Licheng Wang, Yiru Sun
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