A Generalized Birthday Problem

@inproceedings{Wagner2002AGB,
  title={A Generalized Birthday Problem},
  author={David A. Wagner},
  booktitle={CRYPTO},
  year={2002}
}
We study a k-dimensional generalization of the birthday problem: given k lists of n-bit values, find some way to choose one element from each list so that the resulting k values xor to zero. For k = 2, this is just the extremely well-known birthday problem, which has a square-root time algorithm with many applications in cryptography. In this paper, we show new algorithms for the case k > 2: we show a cube-root time algorithm for the case of k = 4 lists, and we give an algorithm with… CONTINUE READING
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