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Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113 [PDF]
Special Matrices, 2018 We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction. In a previous paper this search covered the orders 4v with odd v ≤ 41. In this paper we cover the cases v = 43, 45, 47, 49, 51. The odd integers
Balonin N. A. +2 more
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Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4 [PDF]
Special Matrices, 2018 We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of ...
Ikuta Takuya, Munemasa Akihiro
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Two-unitary complex Hadamard matrices of order 36 [PDF]
Special MatricesA family of two-unitary complex Hadamard matrices (CHMs) of size 36 stemming from a particular matrix is constructed. Every matrix in this orbit remains unitary after operations of partial transpose and reshuffling which makes it a distinguished subset ...
Bruzda Wojciech, Życzkowski Karol
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CONSTRUCTION OF SYMMETRIC HADAMARD MATRICES [PDF]
Informatsionno-upravliaiushchie sistemy (Information and Control Systems), 2017 We systematically explore the new method of construction (known as the propus construction) of symmetric Hadamard matrices for small orders, $4v$. In particular we give the first examples of symmetric Hadamard matrices of order $156=4\cdot 39$.
N. A. Balonin +4 more
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Symmetric Hadamard matrices of order 116 and 172 exist [PDF]
Special Matrices, 2015 We construct new symmetric Hadamard matrices of orders 92, 116, and 172. While the existence of those of order 92 was known since 1978, the orders 116 and 172 are new. Our construction is based on a recent new combinatorial array (GP array) discovered by
Di Matteo Olivia +2 more
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Hadamard Matrices with Cocyclic Core
Mathematics, 2021 Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed itself as a powerful technique for looking for (cocyclic) Hadamard matrices.
Víctor Álvarez +5 more
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Pseudococyclic Partial Hadamard Matrices over Latin Rectangles
Mathematics, 2021 The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle of Hadamard matrices over Latin rectangles and the pseudococycle of Hadamard matrices over quasigroups.
Raúl M. Falcón +4 more
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Complex Hadamard graphs and Butson matrices
AKCE International Journal of Graphs and Combinatorics, 2023 This article introduces complex Hadamard graphs and studies their properties. Using the complete subgraphs of these complex Hadamard graphs, complex Hadamard matrices of order n are generated, where n is a multiple of four.
Briji Jacob Chathely, Rajendra P. Deore
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Entropy and Hadamard matrices [PDF]
Proceedings of the IEEE Information Theory Workshop, 2003 7 pages, minor typographical errors corrected and conclusion ...
Gopalkrishna Gadiyar, H. +3 more
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A new hybrid method combining search and direct based construction ideas to generate all 4 × 4 involutory maximum distance separable (MDS) matrices over binary field extensions [PDF]
PeerJ Computer Science, 2023 This article presents a new hybrid method (combining search based methods and direct construction methods) to generate all $4 \times 4$4×4 involutory maximum distance separable (MDS) matrices over $\mathbf{F}_{2^m}$F2m .
Gökhan Tuncay +5 more
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