Balanced Permutations Even-Mansour Ciphers

@article{Gilboa2014BalancedPE,
  title={Balanced Permutations Even-Mansour Ciphers},
  author={Shoni Gilboa and Shay Gueron and Mridul Nandi},
  journal={IACR Cryptology ePrint Archive},
  year={2014},
  volume={2014},
  pages={642}
}
The r-rounds Even–Mansour block cipher is a generalization of the well known Even–Mansour block cipher to r iterations. Attacks on this construction were described by Nikolić et al. and Dinur et al. for r = 2, 3. These attacks are only marginally better than brute force but are based on an interesting observation (due to Nikolić et al.): for a “typical” permutation P, the distribution of P(x)⊕ x is not uniform. This naturally raises the following question. Let us call permutations for which the… CONTINUE READING
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