Two-dimensional perfect quaternary arrays

@article{Arasu2001TwodimensionalPQ,
  title={Two-dimensional perfect quaternary arrays},
  author={K. Arasu and W. D. Launey},
  journal={IEEE Trans. Inf. Theory},
  year={2001},
  volume={47},
  pages={1482-1493}
}
We study two-dimensional (2-D) arrays of fourth roots of unity which have all out-of-phase periodic autocorrelations equal to zero. Generalizing the concept of a perfect binary array, we call these arrays perfect quaternary arrays. We establish connections with combinatorial design theory and exhibit large families of such arrays. Increasing the alphabet from size two to size four greatly increases the flexibility one has in choosing the dimensions for 2-D arrays with perfect periodic… Expand
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