Maximal sets of mutually orthogonal frequency squares and Doehlert-Klee designs

Carly Bodkin, Nicholas J. Cavenagh, Ian M. Wanless

A binary frequency square of type $(n;{\lambda }_0,{\lambda }_1)$ is a $(0,1)$-matrix of order $n$ with ${\lambda }_0$ zeros and ${\lambda }_1$ ones in each row and in each column. Two such squares are orthogonal if…