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

Published 24 Jan 2020 in cs.IT and math.IT | (2001.08894v2)

Abstract: 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 and video.

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