Wet paper codes and the dual distance in steganography

Carlos Munuera 1 Morgan Barbier 2
2 TANC - Algorithmic number theory for cryptology
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR7161
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.
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Advances in Mathematics of Communications, AIMS, 2011, Lecture Notes on Computer Sciences, 6 (3), pp.273-285. 〈10.3934/amc.2012.6.273〉
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Carlos Munuera, Morgan Barbier. Wet paper codes and the dual distance in steganography. Advances in Mathematics of Communications, AIMS, 2011, Lecture Notes on Computer Sciences, 6 (3), pp.273-285. 〈10.3934/amc.2012.6.273〉. 〈inria-00584877〉

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