A perfect binary array (PBA) is an r-dimensional matrix with elements ±I such that all out-of-phase periodic autocorrelation coefficients are zero. The two smallest sizes for which the existence of a PBA is undecided, 2 x 2 x 3 x 3 x 9 and 4 x 3 x 3 x 9, are ruled out using computer search and a combinatorial argument.
Copyright © 1993, Institution of Engineering and Technology. This article first appeared in Electronics Letters 29:1 (1993), 99-101.
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Jedwab, Jonathan, and James A. Davis. "Nonexistence of Certain Perfect Binary Arrays." Electronics Letters 29, no. 1 (January 7, 1993): 99-101. doi: 10.1049/el:19930065.