Name
Abstract | ||
|---|---|---|
In this paper, we provide two types of pattern matrices for the diffusion layer P, both can be used as classification criteria for the substitution-permutation network (SPN) structures: if the pattern matrices of distinct SPN structures are equal, then these structures may have the same impossible differential (ID)/zero correlation linear hull (ZC) and the same differential/linear active S-boxes. We introduce some interesting properties of the pattern matrices. Applying our results, we arrive at several interesting facts. First, all the SPN structures with MDS-type diffusion layers fall into the same class and have the same ID/ZC/minimum number of active S-boxes. Second, we provide several interesting properties of pattern matrices and build the links between the P-layer and that after several popular operations. Finally, we investigate the properties of pattern matrices for bit shuffles, the pattern matrices keep the same if and only if the n-partition characteristics of them are equal. Our results are helpful in the designing of block ciphers. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1109/ACCESS.2017.2784543 | IEEE ACCESS |
Keywords | Field | DocType |
Diffusion layer, SPN cipher, LDE, pattern matrices | Linear approximation,Diffusion layer,Discrete mathematics,Linear span,Block cipher,Computer science,Matrix (mathematics),Cryptanalysis,If and only if,Partition (number theory),Distributed computing | Journal |
Volume | ISSN | Citations |
6 | 2169-3536 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ting Cui | 1 | 1 | 4.41 |
| Chenhui Jin | 2 | 39 | 19.24 |