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Results tagged with matrices
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user 498306
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
6
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1
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151
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How to construct a skew Hadamard matrix of order 756?
Koukouvinos and Stylianou - On skew-Hadamard matrices and Seberry - On skew Hadamard matrices) this matrix has been constructed. …
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4
votes
Accepted
How to construct a skew Hadamard matrix of order 756?
The matrix can be constructed using Theorem 7 from Seberry - On skew Hadamard matrices, by setting $m = 1$ and $n = 28$. … The amicable Orthogonal Design of type $((1, 27); (28))$ are constructed from amicable hadamard matrices of order 28 (construction taken from (v, k, λ) Configurations and Hadamard matrices - Wallis, for …
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10
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1
answer
318
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Construction of skew-Hadamard matrix of order 292
Koukouvinos and Stylianou - On skew-Hadamard matrices and Seberry and Yamada - Amicable Hadamard matrices and amicable orthogonal designs) this matrix has been constructed. … of order 292 being published in 1975 (Spence - Skew-Hadamard Matrices of the Goethals–Seidel Type). …
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6
votes
Accepted
Construction of skew-Hadamard matrix of order 292
This same construction is used, for example, in Djokovic - Skew-Hadamard Matrices of Orders 436,580, and 988 Exist.
An implementation of this can now be found in SageMath. … Then, we can construct four circulant matrices $A_1, A_2, A_3, A_4$ where $a_i$ is the first row of $A_i$. …
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