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A multi-dimensional block-circulant perfect array construction

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  • 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).

    Mathematics Subject Classification: 05E05, 05E10, 05E15, 05E18, 05E30, 05E40, 05E45.


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  •   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.
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