Paper 2015/775 Original: eprint.iacr.org/2015/775 ↗

Efficient MDS Diffusion Layers Through Decomposition of Matrices

S. M. Dehnavi
M. R. Mirzaee Shamsabad
A. Mahmoodi Rishakani
Y. Fekri Dabanloo
Abstract

Diffusion layers are critical components of symmetric ciphers. MDS matrices are diffusion layers of maximal branch number which have been used in various symmetric ciphers. In this article, we examine decomposition of cyclic matrices from mathematical viewpoint and based on that, we present new cyclic MDS matrices. From the aspect of implementation, the proposed matrices have lower implementation costs both in software and hardware, compared to what is presented in cryptographic literature, up to our knowledge.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2016-12-03: last updated
2015-08-03: published
Short URL
https://ia.cr/2015/775
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2015/775,
      author = {S.  M.  Dehnavi and M.  R.  Mirzaee Shamsabad and A.  Mahmoodi Rishakani and Y.  Fekri Dabanloo},
      title = {Efficient MDS Diffusion Layers Through Decomposition of Matrices},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/775},
      year = {2015},
      url = {https://eprint.iacr.org/2015/775}
}
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