  We present a $N$-dimensional generalization of the two-dimensional
block-circulant perfect array construction by \cite{Blake2013}. As in
\cite{Blake2013}, the families of $N$-dimensional arrays possess pairwise
\textit{good} zero correlation zone (ZCZ) cross-correlation. Both constructions
use a perfect autocorrelation sequence with the array orthogonality property
(AOP).
