Volume 16, Issue 3 (2016)
MJEE 2016, 16(3): 33-39 |
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Sajadieh M, vaziri M, Zaghian A. Improving Clefia and six partitions Feistel structures by Multiple MDS Matrices. MJEE 2016; 16 (3) :33-39
URL: http://mjee.modares.ac.ir/article-17-2539-en.html
URL: http://mjee.modares.ac.ir/article-17-2539-en.html
1- Department of Electrical Engineering, Islamic Azad University, Isfahan (Khorasgan) Branch, Isfahan, Iran.
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3- Malek Ashtar University of Technology, Isfahan
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3- Malek Ashtar University of Technology, Isfahan
Abstract: (4942 Views)
Counting the minimum number of differential active S-boxes is a common way to evaluate the security of block ciphers against differential and linear cryptanalysis. In this paper, we use mixed-integer linear programming (MILP)
to calculate minimum number of active S-boxes of the some Feistel structures. We focus on Type-II of Feistel structures
with four and six partitions and explain how to analyze them by MILP when they have more than one MDS2 matrices (like
Clefia) in their structure. Moreover, we propose a new four partitions Feistel structure with three multiple MDS matrices
which have more active S-boxes rather than Clefia structure. We also generalize Clefia structure in to six partitions Feistel
structure by three multiple MDS matrices for 192 bits block size.
to calculate minimum number of active S-boxes of the some Feistel structures. We focus on Type-II of Feistel structures
with four and six partitions and explain how to analyze them by MILP when they have more than one MDS2 matrices (like
Clefia) in their structure. Moreover, we propose a new four partitions Feistel structure with three multiple MDS matrices
which have more active S-boxes rather than Clefia structure. We also generalize Clefia structure in to six partitions Feistel
structure by three multiple MDS matrices for 192 bits block size.
Keywords: Keywords— Clefia Structure, Linear Programming, Switching Method, Generalized Feistel Structure, Active S-boxes
Received: 2016/09/15 | Accepted: 2016/10/1 | Published: 2017/09/5
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