Title
Riding the Saddle Point: asymptotics of the capacity-achieving simple decoder for bias-based traitor tracing.
Abstract
We study the asymptotic-capacity-achieving score function that was recently proposed by Oosterwijk et al. for bias-based traitor tracing codes. For the bias function, we choose the Dirichlet distribution with a cutoff. Using Bernstein’s inequality and Bennett’s inequality, we upper bound the false-positive and false-negative error probabilities. From these bounds we derive sufficient conditions for the scheme parameters. We solve these conditions in the limit of large coalition size c0 and obtain asymptotic solutions for the cutoff, the sufficient code length, and the corresponding accusation threshold. We find that the code length converges to its asymptote approximately as c 0 − 1 / 2 , which is faster than the c 0 − 1 / 3 of Tardos’ score function.
Year
DOI
Venue
2013
10.1186/s13635-014-0012-6
IACR Cryptology ePrint Archive
Keywords
DocType
Volume
Traitor tracing, Fingerprinting
Journal
2013
Issue
ISSN
Citations 
1
1687-417X
3
PageRank 
References 
Authors
0.39
19
3
Name
Order
Citations
PageRank
Sarah Ibrahimi130.39
Boris Škorić228529.73
Jan-Jaap Oosterwijk3403.09