Paper 2014/085

Multipermutations in Crypto World: Different Faces of the Perfect Diffusion Layer

Aleksandra Mileva


Diffusion layers, and specially perfect diffusion layers, are very important subject for cryptographic research. Main quest is a perfect diffusion layer with more optimal hardware and/or software implementations (if possible, the last needs to holds also for its inverse). Different structures can be used for representing these layers, but all are interconnected. We start with multipermutations as a tools for obtaining perfect diffusion, and we summarize the interconnections between them, MDS codes, Latin squares and quasigroups, orthogonal arrays and $m$-arcs. We give a new construction of perfect recursive diffusion layer from $r$-recursive MDS codes, or recursively $r$-differentiable quasigroups.

Available format(s)
Publication info
Preprint. MINOR revision.
Perfect diffusionRecursive diffusion layer
Contact author(s)
aleksandra mileva @ ugd edu mk
2014-02-07: received
Short URL
Creative Commons Attribution


      author = {Aleksandra Mileva},
      title = {Multipermutations in Crypto World: Different Faces of the Perfect Diffusion Layer},
      howpublished = {Cryptology ePrint Archive, Paper 2014/085},
      year = {2014},
      note = {\url{}},
      url = {}
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