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Arrays composed from the extended rational cycle

Abstract: We present a 3D array construction with application to video watermarking. This new construction uses two main ingredients: an extended rational cycle (ERC) as a shift sequence and a Legendre array as a base. This produces a family of 3D arrays with good auto and cross-correlation. We calculate exactly the values of the auto correlation and the cross-correlation function and their frequency. We present a unified method of obtaining multivariate recursion polynomials and their footprints for all finite multidimensional arrays. Also, we describe new results for arbitrary arrays and enunciate a result for arrays constructed using the method of composition. We also show that the size of the footprint is invariant under dimensional transformations based on the Chinese Remainder Theorem.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Advances in Mathematics of Communications, 2017, 11 (2) : 313-327

Editorial: American Institute of Mathematical Sciences

 Año de publicación: 2017

Tipo de publicación: Artículo de Revista

 DOI: 10.3934/amc.2017024

ISSN: 1930-5346,1930-5338