M. Cati

collaborators

2 papers

math.CO2024

A database of constructions of Hadamard matrices

Matteo Cati, Dmitrii V. Pasechnik

Hadamard matrices of order $n$ are conjectured to exist whenever $n$ is $1$ , $2$ , or a multiple of $4$ ; a similar conjecture exists for skew Hadamard matrices. We provide construct…

math.CO2023

Implementing Hadamard Matrices in SageMath

Matteo Cati, Dmitrii V. Pasechnik

Hadamard matrices are $(- 1, + 1)$ square matrices with mutually orthogonal rows. The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$ , $2$ , o…