Paper 2003/137 Original: eprint.iacr.org/2003/137 ↗
Bernoulli numbers and the probability of a birthday surprise
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.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2003-07-17: last updated
- 2003-07-17: published
- Short URL
- https://ia.cr/2003/137
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2003/137,
author = {Boaz Tsaban},
title = {Bernoulli numbers and the probability of a birthday surprise},
howpublished = {Cryptology {ePrint} Archive, Paper 2003/137},
year = {2003},
url = {https://eprint.iacr.org/2003/137}
}