Paper Info
Title
Double periodic arrays with optimal correlation for applications in watermarking
Abstract
Digital watermarking applications require constructions of double-periodic matrices with good correlations. More specifically we need as many matrix sequences as possible with both good auto- and cross-correlation. Furthermore it is necessary to have double-periodic sequences with as many dots as possible. We have written this paper with the specific intention of providing a theoretical framework for constructions for digital watermarking applications. In this paper we present a method that increases the number of sequences, and another that increases the number of ones keeping the correlation good and double-periodic. Finally we combine both methods producing families of double-periodic arrays with good correlation and many dots. The method of increasing the number of sequences is due to Moreno, Omrani and Maric. The method to increase the number of dots was started by Nguyen, Lázló and Massey, developed by Moreno, Zhang, Kumar and Zinoviev, and further developed by Tirkel and Hall. The very nice application to digital watermarking is due to Tirkel and Hall. Finally we obtain two new constructions of Optical Orthogonal Codes: Construction A which produces codes with parameters (n, ω, λ) = (p(p - 1), p2-1/2 , [p(p+1)/4]) and Construction B which produces families of code with parameters (n, ω, λ) = (p2(p-1), p2-1/2 , [p(p+1) 4]) and family size p + 1.
Year
DOI
Venue
2007
10.1007/978-3-540-77404-4_8
SSC
Keywords
Field
DocType
double-periodic matrix,digital watermarking,double-periodic sequence,double-periodic array,optimal correlation,construction b,construction a,family size p,good auto,good correlation,digital watermarking application,cross correlation,digital watermark
Discrete mathematics,Digital watermarking,Matrix (mathematics),Watermark,Correlation,Periodic graph (geometry),Mathematics
Conference
Volume
ISSN
ISBN
4893
0302-9743
3-540-77403-3
Citations 
PageRank 
References 
3
0.55
9
Authors
2
Name
Order
Citations
PageRank
Oscar Moreno1192.83
José R. Ortiz-Ubarri2224.28