TY - JFULL AU - Qinyi Mei and Li-Ping Wang PY - 2017/7/ TI - On the Construction of Lightweight Circulant Maximum Distance Separable Matrices T2 - International Journal of Computer and Systems Engineering SP - 221 EP - 226 VL - 11 SN - 1307-6892 UR - https://publications.waset.org/pdf/10007428 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 126, 2017 N2 - 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 low-latency. 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. ER -