Title
Provable security against impossible differential and zero correlation linear cryptanalysis of some feistel structures
Abstract
Impossible differential and zero correlation linear cryptanalysis are two important cryptanalytic methods. In this paper, we study the security of some Feistel structures against these two cryptanalytic methods. Throughout this paper, we consider the impossible differential and zero correlation linear hull that are independent of the choices of the non-linear parts. Based on that, a method is introduced to estimate the number of rounds that the longest impossible differential could cover for one kind of Feistel-SP structure. Fortunately, our method also applies to some generalized Feistel structures, such as the Type-2 generalized Feistel structure. Then we project our results to zero correlation by the links between impossible differential and zero correlation linear hull. Lastly, as an application of our method, we prove that there do not exist 15-round impossible differential and zero correlation linear hull for LBlock and TWINE.
Year
DOI
Venue
2019
10.1007/s10623-019-00642-9
Designs, Codes and Cryptography
Keywords
Field
DocType
Impossible differential, Zero correlation linear hull, Feistel structure, LBlock, TWINE, 11B50, 94A55, 94A60
Discrete mathematics,Linear span,Correlation,Linear cryptanalysis,Mathematics,Provable security
Journal
Volume
Issue
ISSN
87
11
0925-1022
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Dong Yang111618.09
Wen-Feng Qi232041.26
Huajin Chen394.04