[Resource Topic] 2007/347: Lai-Massey Scheme and Quasi-Feistel Networks

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Title:
Lai-Massey Scheme and Quasi-Feistel Networks

Authors: Aaram Yun, Je Hong Park, 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.

ePrint: https://eprint.iacr.org/2007/347

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