Families of Multidimensional Arrays with Good Autocorrelation and Asymptotically Optimal Cross-correlation

01/24/2020

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by   Sam Blake, et al.

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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-dimensional Legendre arrays. We also introduce an application of these higher-dimensional arrays to high-capacity digital watermarking of images.