TY - GEN
T1 - Performance of random fingerprinting codes under arbitrary nonlinear attacks
AU - Moulin, Pierre
AU - Kiyavash, Negar
PY - 2007
Y1 - 2007
N2 - This paper analyzes the performance of arbitrary nonlinear collusion attacks on random fingerprinting codes. We derive the error exponent of the fingerprinting system, which determines the exponential decay of the error probability. A Gaussian ensemble and an expurgated Gaussian ensemble of codes are considered. The collusion attacks include order-statistics attacks as special cases. In our model, a correlation detector is used. The colluders create a noise-free forgery by applying an arbitrary nonlinear mapping to their individual copies, and next they add a Gaussian noise sequence to form the final forgery. The colluders are subject to a mean-squared distortion constraint between host and forgery. We prove that the uniform linear averaging attack outperforms all others.
AB - This paper analyzes the performance of arbitrary nonlinear collusion attacks on random fingerprinting codes. We derive the error exponent of the fingerprinting system, which determines the exponential decay of the error probability. A Gaussian ensemble and an expurgated Gaussian ensemble of codes are considered. The collusion attacks include order-statistics attacks as special cases. In our model, a correlation detector is used. The colluders create a noise-free forgery by applying an arbitrary nonlinear mapping to their individual copies, and next they add a Gaussian noise sequence to form the final forgery. The colluders are subject to a mean-squared distortion constraint between host and forgery. We prove that the uniform linear averaging attack outperforms all others.
KW - Coding
KW - Detection performance
KW - Digital fingerprinting
KW - Nonlinear signal processing
UR - http://www.scopus.com/inward/record.url?scp=34547525059&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547525059&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2007.366196
DO - 10.1109/ICASSP.2007.366196
M3 - Conference contribution
AN - SCOPUS:34547525059
SN - 1424407281
SN - 9781424407286
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - II157-II160
BT - 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07
T2 - 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07
Y2 - 15 April 2007 through 20 April 2007
ER -