Title
Known-key distinguishers on type-1 Feistel scheme and near-collision attacks on its hashing modes
Abstract
We present some known-key distinguishers for a type-1 Feistel scheme with a permutation as the round function. To be more specific, the 29-round known-key truncated differential distinguishers are given for the 256-bit type-1 Feistel scheme with an SP (substitution-permutation) round function by using the rebound attack, where the S -boxes have perfect differential and linear properties and the linear diffusion layer has a maximum branch number. For two 128-bit versions, the distinguishers can be applied on 25-round structures. Based on these distinguishers, we construct near-collision attacks on these schemes with MMO (Matyas-Meyer-Oseas) and MP (Miyaguchi-Preneel) hashing modes, and propose the 26-round and 22-round near-collision attacks for two 256-bit schemes and two 128-bit schemes, respectively. We apply the near-collision attack on MAME and obtain a 26-round near-collision attack. Using the algebraic degree and some integral properties, we prove the correctness of the 31-round known-key integral distinguisher proposed by Sasaki et al. We show that if the round function is a permutation, the integral distinguisher is suitable for a type-1 Feistel scheme of any size.
Year
DOI
Venue
2014
10.1007/s11704-014-2412-7
Frontiers of Computer Science: Selected Publications from Chinese Universities
Keywords
Field
DocType
known-key,block cipher,generalized Feistel scheme,type-1,rebound attack,integral distinguisher,algebraic degree
Discrete mathematics,Algebraic number,Round function,Block cipher,Computer science,Correctness,Permutation,Rebound attack,Collision,Hash function
Journal
Volume
Issue
ISSN
8
3
2095-2228
Citations 
PageRank 
References 
3
0.39
32
Authors
4
Name
Order
Citations
PageRank
Le Dong1626.68
Wenling Wu278769.06
Shuang Wu3665.52
Jian Zou4536.16