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This paper proposes codes that achieve the fundamental capacity limits of digital fingerprinting subject to mean-squared distortion constraints on the fingerprint embedder and the colluders. We first show that the traditional method of fingerprint decoding by thresholding correlation statistics falls short of this goal: reliable performance is impossible at code rates greater than some value C1 that...
The rate of a fingerprinting code is defined as R = (1/N) log2 M, where N is the code length and M the number of users. Capacity is the supremum of achievable rates for a given class of collusion attacks. Most fingerprinting codes in current literature are algebraic constructions with high minimum distance. These codes have low rate (relative to capacity) and thus long fingerprints for a given number...
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