A framework for optimizing nonlinear collusion attacks on fingerprinting systems

Negar Kiyavash, Pierre Moulin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper develops a mathematical analysis of the performance of order statistic collusion attacks on Gaussian fingerprinting systems. The attacks considered include the popular memoryless averaging and median attacks as special cases. In this model, the colluders create a noise-free forgery by applying an order statistic mapping to each sample of their individual copies, and next they add a Gaussian noise sequence to form the final forgery. The choice of the mapping may be time-dependent and/or random. The performance of a strategy is evaluated in terms of the resulting probability of error of a correlation focused detector, and in terms of the mean-squared distortion between host and forgery. We prove the surprising fact that all the nonlinear attacks considered result in the same detection performance. Moreover, the linear averaging attack outperforms the other ones in the sense of minimizing mean-squared distortion.

Original languageEnglish (US)
Title of host publication2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1170-1175
Number of pages6
ISBN (Print)1424403502, 9781424403509
DOIs
StatePublished - Jan 1 2006
Event2006 40th Annual Conference on Information Sciences and Systems, CISS 2006 - Princeton, NJ, United States
Duration: Mar 22 2006Mar 24 2006

Publication series

Name2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings

Other

Other2006 40th Annual Conference on Information Sciences and Systems, CISS 2006
CountryUnited States
CityPrinceton, NJ
Period3/22/063/24/06

ASJC Scopus subject areas

  • Computer Science(all)

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  • Cite this

    Kiyavash, N., & Moulin, P. (2006). A framework for optimizing nonlinear collusion attacks on fingerprinting systems. In 2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings (pp. 1170-1175). [4067983] (2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CISS.2006.286642