## Information-theoretic analysis of information hiding (2003)

Venue: | IEEE Transactions on Information Theory |

Citations: | 233 - 18 self |

### BibTeX

@ARTICLE{Moulin03information-theoreticanalysis,

author = {Pierre Moulin and Joseph A. O’sullivan},

title = {Information-theoretic analysis of information hiding},

journal = {IEEE Transactions on Information Theory},

year = {2003},

volume = {49},

pages = {563--593}

}

### Years of Citing Articles

### OpenURL

### Abstract

Abstract—An information-theoretic analysis of information hiding is presented in this paper, forming the theoretical basis for design of information-hiding systems. Information hiding is an emerging research area which encompasses applications such as copyright protection for digital media, watermarking, fingerprinting, steganography, and data embedding. In these applications, information is hidden within a host data set and is to be reliably communicated to a receiver. The host data set is intentionally corrupted, but in a covert way, designed to be imperceptible to a casual analysis. Next, an attacker may seek to destroy this hidden information, and for this purpose, introduce additional distortion to the data set. Side information (in the form of cryptographic keys and/or information about the host signal) may be available to the information hider and to the decoder. We formalize these notions and evaluate the hiding capacity, which upper-bounds the rates of reliable transmission and quantifies the fundamental tradeoff between three quantities: the achievable information-hiding rates and the allowed distortion levels for the information hider and the attacker. The hiding capacity is the value of a game between the information hider and the attacker. The optimal attack strategy is the solution of a particular rate-distortion problem, and the optimal hiding strategy is the solution to a channel-coding problem. The hiding capacity is derived by extending the Gel’fand–Pinsker theory of communication with side information at the encoder. The extensions include the presence of distortion constraints, side information at the decoder, and unknown communication channel. Explicit formulas for capacity are given in several cases, including Bernoulli and Gaussian problems, as well as the important special case of small distortions. In some cases, including the last two above, the hiding capacity is the same whether or not the decoder knows the host data set. It is shown that many existing information-hiding systems in the literature operate far below capacity. Index Terms—Channel capacity, cryptography, fingerprinting, game theory, information hiding, network information theory,

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Citation Context ...ated aspects of this problem have also been recently explored by Merhav [8], Steinberg and Merhav [9], Somekh-Baruch and Merhav [10], Willems [11], Cohen and Lapidoth [12], and Chen and Wornell [13], =-=[14]-=-. Also, see the recent study by Hernández and Pérez-González on decision-theoretic aspects of the watermarking problem [15]. In our generic information-hiding problem, a message is to be embedded in a... |

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Citation Context ...equality holds only at saddlepoints [39]), 3 we have , as one does expect, owing to the additional information available to the attacker. The formulation (3.3) has been used in jamming problems [34], =-=[40]-=- and in recent watermarking problems [10], [12] and yields a lower value of the information-hiding game. An upper value of the game is obtained using the unrealistic (because it is overly optimistic) ... |