New Matrices with Good Auto and Cross-Correlation

Andrew TIRKEL  Tom HALL  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.9   pp.2315-2321
Publication Date: 2006/09/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.9.2315
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Sequence Design and its Application in Communications)
matrix,  array,  interlacing,  correlation,  watermark,  

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Large sets of matrices with good auto and cross-correlation are rare. We present two such constructions, a method of extending family size by column multiplication and a method of extending physical size by interlacing. These matrices can be applied to digital watermarking of images.