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On the Construction of Near-MDS Matrices. (arXiv:2306.12791v1 [cs.CR])
cs.CR updates on arXiv.org arxiv.org
The optimal branch number of MDS matrices makes them a preferred choice for
designing diffusion layers in many block ciphers and hash functions. However,
in lightweight cryptography, Near-MDS (NMDS) matrices with sub-optimal branch
numbers offer a better balance between security and efficiency as a diffusion
layer, compared to MDS matrices. In this paper, we study NMDS matrices,
exploring their construction in both recursive and nonrecursive settings. We
provide several theoretical results and explore the hardware efficiency of the
construction of …
balance block ciphers construction cryptography efficiency functions hash hash functions mds near numbers offer security