English

Quantum Generic Attacks on Feistel Schemes

Quantum Physics 2017-02-28 v3

Abstract

The Feistel scheme is an important structure in the block ciphers. The security of the Feistel scheme is related to distinguishability with a random permutation. In this paper, efficient quantum algorithms for distinguishing classical 3,4-round and unbalanced Feistel scheme with contracting functions from random permutation are proposed. Our algorithms realize an exponential speed-up over classical algorithms for these problems. Furthermore, the method presented in this paper can also be used to consider unbalanced Feistel schemes with expanding functions.

Keywords

Cite

@article{arxiv.1010.1624,
  title  = {Quantum Generic Attacks on Feistel Schemes},
  author = {Hong Wang and Zhi Ma},
  journal= {arXiv preprint arXiv:1010.1624},
  year   = {2017}
}

Comments

This paper has been withdrawn by the author due to a crucial error in Algorithm 1

R2 v1 2026-06-21T16:25:39.647Z