- International Journal of Information Security Science
- Volume:10 Issue:4
- On the Construction of Low-latency 32 × 32 Binary MDS Matrices from GHadamard Matrices
On the Construction of Low-latency 32 × 32 Binary MDS Matrices from GHadamard Matrices
Authors : Meltem KURT PEHLİVANOĞLU, Fatma BÜYÜKSARAÇOĞLU SAKALLI, Muharrem Tolga SAKALLI
Pages : 111-118
View : 47 | Download : 9
Publication Date : 2021-12-31
Article Type : Research Paper
Abstract :In this paper, we generate new hardware efficient involutory 32 × 32 binary Maximum Distance Separable insert ignore into journalissuearticles values(MDS); diffusion layers with branch number 5. In our construction method, the idea used in Generalised Hadamard insert ignore into journalissuearticles values(GHadamard); matrix form is applied when generating these diffusion layers. We construct lightweight circuits by applying Boyar’s global optimization heuristic insert ignore into journalissuearticles values(BP); to these diffusion layers. Hence, new 32 × 32 binary involutory MDS matrices with the best-known implementation cost insert ignore into journalissuearticles values(78 XORs); and depth 4 are generated. The obtained result is the same with the previous result given in [1], and we show that the diffusion layer given in [1] can also be obtained directly by using our construction method. As a result, we give thirteen more new involutory 32 × 32 binary MDS matrices with the best-known result.Keywords : GHadamard matrix form, 32 × 32 binary MDS matrix, Global optimization, Involutory matrix
ORIGINAL ARTICLE URL