On optimal constant weight codes derived from $\omega$-circulant balanced generalized weighing matrices

A family of $\omega$-circulant balanced weighing matrices with classical parameters is used for the construction of optimal constant weight codes over an alphabet of size $g+1$ and length $n=(q^m-1)\mathrm{/}(q-1)$, where $q$ is an odd prime power, $m>1$, and $g$ is a divisor of $q-1$.