Qinyi Mei and Li-Ping Wang
On the Construction of Lightweight Circulant Maximum Distance Separable Matrices
222 - 226
2017
11
6
International Journal of Computer and Systems Engineering
https://publications.waset.org/pdf/10007428
https://publications.waset.org/vol/126
World Academy of Science, Engineering and Technology
MDS matrices are of great significance in the design
of block ciphers and hash functions. In the present paper, we
investigate the problem of constructing MDS matrices which are
both lightweight and lowlatency. We propose a new method of
constructing lightweight MDS matrices using circulant matrices
which can be implemented efficiently in hardware. Furthermore, we
provide circulant MDS matrices with as few bit XOR operations as
possible for the classical dimensions 4 × 4, 8 × 8 over the space of
linear transformations over finite field F42
. In contrast to previous
constructions of MDS matrices, our constructions have achieved
fewer XORs.
Open Science Index 126, 2017