Name
Abstract | ||
|---|---|---|
In this paper, we propose a new matrix form to generate all 3×3 involutory and MDS matrices over F2m and prove that the number of all 3×3 involutory and MDS matrices over F2m is (2m−1)2⋅(2m−2)⋅(2m−4), where m>2. Moreover, we give 3×3 involutory and MDS matrices over F23, F24 and F28 defined by the irreducible polynomials x3+x+1, x4+x+1 and x8+x7+x6+x+1, respectively, by considering the minimum XOR count, which is a metric used in the estimation of hardware implementation cost. Finally, we provide the maximum number of 1s in 3×3 involutory MDS matrices. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.ipl.2019.02.013 | Information Processing Letters |
Keywords | DocType | Volume |
Cryptography,MDS matrices,Diffusion layer,Involutory matrices | Journal | 147 |
ISSN | Citations | PageRank |
0020-0190 | 0 | 0.34 |
References | Authors | |
0 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gülsüm Gözde Güzel | 1 | 0 | 0.34 |
| M. Tolga Sakalli | 2 | 6 | 1.52 |
| Sedat Akleylek | 3 | 13 | 10.07 |
| Lars R. Knudsen | 4 | 90 | 8.42 |
| Yasemin Cengellenmis | 5 | 4 | 3.18 |