This article proposes a theory of watermarking security based on a cryptanalysis point of view. The main idea is that information about the secret key leaks from the observations, for instance watermarked pieces of content, available to the opponent. Tools from information theory (Shannon's mutual information and Fisher's information matrix) can measure this leakage of information. The security level is then defined as the number of observations the attacker needs to successfully estimate the secret key. This theory is applied to two common watermarking methods: the substitutive scheme and the spread spectrum based techniques. Their security levels are calculated against three kinds of attack. The experimental work illustrates how Blind Source Separation (especially Independent Component Analysis) algorithms help the opponent exploiting this information leakage to disclose the secret carriers in the spread spectrum case. Simulations assess the security levels derived in the theoretical part of the article.

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Abstract-It has recently been discovered that using pseudorandom sequences as carriers in spread-spectrum techniques for data-hiding is not at all a sufficient condition for ensuring datahiding security. Using proper and realistic a priori hypothesis on the messages distribution, it is possible to accurately estimate the secret carriers by casting this estimation problem into a Blind Source Separation problem. After reviewing relevant works on spread-spectrum security for watermarking, we further develop on this topic to introduce the concept of security classes which broaden previous notions in watermarking security and fills the gap with steganography security as defined by Cachin. We define four security classes, namely, by order of creasing security: insecurity, key-security, subspace-security and stego-security. To illustrate these views, we present two new modulations for truly secure watermarking in the Watermark-Only-Attack (WOA) framework. The first one is called Natural Watermarking and can be made either stego-secure or subspace-secure. The second is called Circular Watermarking and is key-secure. We show that Circular Watermarking has robustness comparable to that of the insecure classical spread spectrum. We shall also propose information leakage measures to highlight the security level of our new spread-spectrum modulations.Index Terms-Spread spectrum watermarking, security.

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