[math] \newcommand{\mathds}{\mathbb}[/math]

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Compute the almost Hadamard matrix associated to the Fano plane,

[[math]] I_7=\begin{pmatrix} x&x&y&y&y&x&y\\ y&x&x&y&y&y&x\\ x&y&x&x&y&y&y\\ y&x&y&x&x&y&y\\ y&y&x&y&x&x&y\\ y&y&y&x&y&x&x\\ x&y&y&y&x&y&x \end{pmatrix} [[/math]]

and its [math]1[/math]-norm. Then do the same with the Paley biplane.