Paper 2014/009

Characterization of EME with Linear Mixing

Nilanjan Datta and Mridul Nandi


Encrypt-Mix-Encrypt is a type of SPRP based construction, where a masked plaintext is encrypted in ECB mode of, then a non-linear mixing is performed and then again an encryption is performed in ECB mode which is masked to produce the ciphertext. Using the property of the binary field, the authors proved that the construction is not SPRP secure if the mixing used is linear. In this paper, we observe that relaxing the mixing operation to some specific efficient linear mixing provides the PRP property of the construction. Moreover choosing a linear mixing that gives the online property is not a difficult task. We can use this fact to construct an efficient Online PRP using Encrypt-Mix-Encrypt type of construction with the mix operation being a linear online mixing, making the construction efficient and online. We also show that the construction with linear mixing doesn't provide SPRP security even if we perform all the operations in a prime field instead of binary field. Thus, we fully characterize EME with linear mixing.

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Preprint. MINOR revision.
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nilanjan_isi_jrf @ yahoo com
mridul nandi @ gmail com
2014-01-07: last of 2 revisions
2014-01-05: received
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      author = {Nilanjan Datta and Mridul Nandi},
      title = {Characterization of EME with Linear Mixing},
      howpublished = {Cryptology ePrint Archive, Paper 2014/009},
      year = {2014},
      note = {\url{}},
      url = {}
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