We present an N-dimensional generalisation of the two-dimensional block-circulant perfect array construction by Blake et al. As in Blake et al, the families of N-dimensional arrays possess pairwise good zero correlation zone (ZCZ) cross-correlation. Both constructions use a perfect autocorrelation sequence with the array orthogonality property (AOP).
|S. Blake , T. E. Hall and A. Z. Tirkel , Arrays over roots of unity with perfect autocorrelation and good ZCZ cross-correlation, Adv. Math. Commun., 7 (2013) , 231-242. doi: 10.3934/amc.2013.7.231.|
|W. H. Mow, A Study of Correlation of Sequences, Ph. D thesis, The Chinese University of Hong Kong, 1993.|