We study the statistical performance of spherical fingerprints for a focused detector which decides whether
a user of interest is among the colluders. The colluders create a noise-free forgery by preprocessing their
individual copies, and then adding a white Gaussian noise sequence to form the actual forgery. Let N be
the codelength, M the number of users, and K the number of colluders. We derive a sphere packing lower bound on the error probability, valid for any triple (N,M,K) and any spherical fingerprinting code.
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