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12 votes
3 answers
4k views

Status of Hadamard matrix conjecture

I would like to know if any progress has been made on Hadamard conjecture : Hadamard matrix of order $4k$ exists for every positive integer $k$.
Serifo  Blade's user avatar
11 votes
4 answers
5k views

Maximum determinant of $\{0,1\}$-valued $n\times n$-matrices

What's the maximum determinant of $\{0,1\}$ matrices in $M(n,\mathbb{R})$? If there's no exact formula what are the nearest upper and lower bounds do you know?
Igor Demidov's user avatar
10 votes
1 answer
319 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 ...
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 ...
Matteo Cati's user avatar