IACR News item: 12 May 2015
Ruoxin Zhao, Rui Zhang, Yongqiang Li, Baofeng Wu
ePrint Report(MDS) matrices as their diffusion layers. In this paper, we propose
a new method to verify a sort of MDS diffusion block matrices whose
blocks are all polynomials in a certain primitive block over the
finite field $\\mathbb F_2$. And then we discover a new kind of
transformations that can retain MDS property of diffusion matrices
and generate a series of new MDS matrices from a given one.
Moreover, we get an equivalence relation from this kind of
transformation. And MDS property is an invariant with respect to
this equivalence relation which can greatly reduce the amount of
computation when we search for MDS matrices. The minimal polynomials
of matrices play an important role in our strategy. To avoid being
too theoretical, we list a series of MDS diffusion matrices obtained
from our method for some specific parameters. Furthermore, we
talk about MDS recursive diffusion layers with our method and extend
the corresponding work of M. Sajadieh et al. published on FSE 2012
and the work of S. Wu published on SAC 2012.
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