English

Wet paper codes and the dual distance in steganography

Cryptography and Security 2011-04-13 v1 Information Theory math.IT

Abstract

In 1998 Crandall introduced a method based on coding theory to secretly embed a message in a digital support such as an image. Later Fridrich et al. improved this method to minimize the distortion introduced by the embedding; a process called wet paper. However, as previously emphasized in the literature, this method can fail during the embedding step. Here we find sufficient and necessary conditions to guarantee a successful embedding by studying the dual distance of a linear code. Since these results are essentially of combinatorial nature, they can be generalized to systematic codes, a large family containing all linear codes. We also compute the exact number of solutions and point out the relationship between wet paper codes and orthogonal arrays.

Keywords

Cite

@article{arxiv.1104.1970,
  title  = {Wet paper codes and the dual distance in steganography},
  author = {Carlos Munuera and Morgan Barbier},
  journal= {arXiv preprint arXiv:1104.1970},
  year   = {2011}
}