Name
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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.3934/amc.2017024 | ADVANCES IN MATHEMATICS OF COMMUNICATIONS |
Keywords | Field | DocType |
Watermark,multidimensional array,Groebner basis,recursion polynomial,linear complexity,Chinese Remainder Theorem | Discrete mathematics,Polynomial,Chinese remainder theorem,Legendre polynomials,Algorithm,Invariant (mathematics),Footprint,Gröbner basis,Mathematics,Recursion,Autocorrelation | Journal |
Volume | Issue | ISSN |
11 | SP2 | 1930-5346 |
Citations | PageRank | References |
0 | 0.34 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Domingo Gomez-perez | 1 | 61 | 10.22 |
| Ana-Isabel Gómez | 2 | 0 | 0.34 |
| Andrew Z. Tirkel | 3 | 255 | 269.21 |