The Advantage of Truncated Permutations

@article{Gilboa2019TheAO,
  title={The Advantage of Truncated Permutations},
  author={Shoni Gilboa and Shay Gueron},
  journal={ArXiv},
  year={2019},
  volume={abs/1610.02518}
}
  • Shoni Gilboa, Shay Gueron
  • Published 2019
  • Mathematics, Computer Science
  • ArXiv
  • Constructing a Pseudo Random Function (PRF) from a pseudorandom permutation is a fundamental problem in cryptology. Such a construction, implemented by truncating the last m bits of permutations of \(\{0, 1\}^{n}\) was suggested by Hall et al. (1998). They conjectured that the distinguishing advantage of an adversary with q quesires, \(\mathbf{Adv}_{n, m} (q)\), is small if \(q = o (2^{(m+n)/2})\), established an upper bound on \(\mathbf{Adv}_{n, m} (q)\) that confirms the conjecture for \(m… CONTINUE READING

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