Paper 2007/347

Lai-Massey Scheme and Quasi-Feistel Networks

Aaram Yun, Je Hong Park, and Jooyoung Lee

Abstract

We introduce the notion of quasi-Feistel network, which is generalization of the Feistel network, and contains the Lai-Massey scheme as an instance. We show that some of the works on the Feistel network, including the works of Luby-Rackoff, Patarin, Naor-Reingold and Piret, can be naturally extended to our setting. This gives a new proof for theorems of Vaudenay on the security of the Lai-Massey scheme, and also introduces for Lai-Massey a new construction of pseudorandom permutation, analoguous to the construction of Naor-Reingold using pairwise independent permutations. Also, we prove the birthday security of $(2b-1)$- and $(3b-2)$-round unbalanced quasi-Feistel networks with b branches against CPA and CPCA attacks, respectively. This answers an unsolved problem pointed out by Patarin et al.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
Lai-Massey schemeFeistel networkLuby-Rackoffblock cipher designpseudorandom functionindistinguishability
Contact author(s)
aaramyun @ gmail com
History
2007-09-05: received
Short URL
https://ia.cr/2007/347
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2007/347,
      author = {Aaram Yun and Je Hong Park and Jooyoung Lee},
      title = {Lai-Massey Scheme and Quasi-Feistel Networks},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/347},
      year = {2007},
      url = {https://eprint.iacr.org/2007/347}
}
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