Welcome to the resource topic for 2003/137
Title:
Bernoulli numbers and the probability of a birthday surprise
Authors: Boaz Tsaban
Abstract:A birthday surprise is the event that, given k uniformly random
samples from a sample space of size n, at least two of them are identical.
We show that Bernoulli numbers can be used to derive arbitrarily exact
bounds on the
probability of a birthday surprise.
This result can be used in arbitrary precision calculators, and it can
be applied to better understand some questions in
communication security and pseudorandom number
generation.
ePrint: https://eprint.iacr.org/2003/137
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