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Families of Multidimensional Arrays with Good Autocorrelation and Asymptotically Optimal Cross-correlation
Sam Blake
We introduce a construction for families of 2n-dimensional arrays with asymptotically optimal pairwise cross-correlation. These arrays are constructed using a circulant array of n-…
A Multi-Dimensional Block-Circulant Perfect Array Construction
Samuel T. Blake
We present a -dimensional generalization of the two-dimensional block-circulant perfect array construction by \cite{Blake2013}. As in \cite{Blake2013}, the families of -dimen…
A Construction for Perfect Periodic Autocorrelation Sequences
Samuel T. Blake, Andrew Z. Tirkel
We introduce a construction for perfect periodic autocorrelation sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions of L…
A Construction for Periodic ZCZ Sequences
Samuel T. Blake, Andrew Z. Tirkel
We introduce a construction for periodic zero correlation zone (ZCZ) sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions…