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Estimating the minimal length of Tardos code

Teddy Furon 1 Luis Pérez-Freire 2, 3 Arnaud Guyader 4, 5, 6 Frédéric Cérou 4 
1 TEMICS - Digital image processing, modeling and communication
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
4 ASPI - Applications of interacting particle systems to statistics
UR1 - Université de Rennes 1, Inria Rennes – Bretagne Atlantique , CNRS - Centre National de la Recherche Scientifique : UMR6074
Abstract : This paper estimates the minimal length of a binary proba- bilistic traitor tracing code. We consider the code construction proposed by G. Tardos in 2003, with the symmetric accusation function as im- proved by B. Skoric et al. The length estimation is based on two pillars. First, we consider the Worst Case Attack that a group of c colluders can lead. This attack minimizes the mutual information between the code sequence of a colluder and the pirated sequence. Second, an algorithm pertaining to the field of rare event analysis is presented in order to es- timate the probabilities of error: the probability that an innocent user is framed, and the probabilities that all colluders are missed. Therefore, for a given collusion size, we are able to estimate the minimal length of the code satisfying some error probabilities constraints. This estimation is far lower than the known lower bounds.
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https://hal.inria.fr/inria-00505882
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Submitted on : Monday, July 26, 2010 - 2:41:12 PM
Last modification on : Friday, May 20, 2022 - 9:04:42 AM
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Teddy Furon, Luis Pérez-Freire, Arnaud Guyader, Frédéric Cérou. Estimating the minimal length of Tardos code. Information Hiding, Jun 2009, Darmstadt, Germany. ⟨inria-00505882⟩

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