Paper 2017/042 Original: eprint.iacr.org/2017/042 ↗

Indifferentiability of Iterated Even-Mansour Ciphers with Non-Idealized Key-Schedules: Five Rounds are Necessary and Sufficient

Yuanxi Dai
Yannick Seurin
John Steinberger
Aishwarya Thiruvengadam
Abstract

We prove that the 5-round iterated Even-Mansour (IEM) construction (which captures the high-level structure of the class of key-alternating ciphers) with a non-idealized key-schedule (such as the trivial key-schedule, where all round keys are equal) is indifferentiable from an ideal cipher. In a separate result, we also prove that five rounds are necessary by describing an attack against the corresponding 4-round construction. This closes the gap regarding the exact number of rounds for which the IEM construction with a non-idealized key-schedule is indifferentiable from an ideal cipher, which was previously only known to lie between four and twelve.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2017-06-10: last updated
2017-01-18: published
Short URL
https://ia.cr/2017/042
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2017/042,
      author = {Yuanxi Dai and Yannick Seurin and John Steinberger and Aishwarya Thiruvengadam},
      title = {Indifferentiability of Iterated Even-Mansour Ciphers with Non-Idealized Key-Schedules: Five Rounds are Necessary and Sufficient},
      howpublished = {Cryptology {ePrint} Archive, Paper 2017/042},
      year = {2017},
      url = {https://eprint.iacr.org/2017/042}
}
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