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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Asymptotic Fingerprinting Capacity for Non-binary Alphabets
verfasst von : Dion Boesten, Boris Škorić
Erschienen in: Information Hiding
Verlag: Springer Berlin Heidelberg
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We compute the channel capacity of non-binary fingerprinting under the Marking Assumption, in the limit of large coalition size
c
. The solution for the binary case was found by Huang and Moulin. They showed that asymptotically, the capacity is 1/(
c
2
2ln 2), the interleaving attack is optimal and the arcsine distribution is the optimal bias distribution.
In this paper we prove that the asymptotic capacity for general alphabet size
q
is (
q
− 1)/(
c
2
2ln
q
). Our proof technique does not reveal the optimal attack or bias distribution. The fact that the capacity is an increasing function of
q
shows that there is a real gain in going to non-binary alphabets.