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Design theory is the subfield of combinatorics concerning the existence and construction of highly symmetric arrangements. Finite projective planes, latin squares, and Steiner triple systems are examples of designs.

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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 a …
Matteo Cati's user avatar
6 votes
1 answer
151 views

How to construct a skew Hadamard matrix of order 756?

Where can I find the construction for a skew Hadamard matrix of order 756? According to multiple papers (e.g. Koukouvinos and Stylianou - On skew-Hadamard matrices and Seberry - On skew Hadamard matri …
Matteo Cati's user avatar
6 votes
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Construction of skew-Hadamard matrix of order 292

The skew Hadamard matrix of order 292 can be constructed from skew supplementary difference sets (kindly supplied to us by Prof. Djokovic). This same construction is used, for example, in Djokovic - S …
Matteo Cati's user avatar
10 votes
1 answer
318 views

Construction of skew-Hadamard matrix of order 292

I am currently looking into how to construct a skew-Hadamard matrix of order 292. Where can I find such construction? According to multiple papers (e.g. Koukouvinos and Stylianou - On skew-Hadamard ma …
Matteo Cati's user avatar