Paper 2014/151 Original: eprint.iacr.org/2014/151 ↗

Security Analysis of Key-Alternating Feistel Ciphers

Rodolphe Lampe
Yannick Seurin
Abstract

We study the security of \emph{key-alternating Feistel} ciphers, a class of key-alternating ciphers with a Feistel structure. Alternatively, this may be viewed as the study of Feistel ciphers where the pseudorandom round functions are of the form $F_i(x\oplus k_i)$, where $k_i$ is the (secret) round key and $F_i$ is a \emph{public} random function that the adversary is allowed to query in a black-box way. Interestingly, our results can be seen as a generalization of traditional results \emph{à la} Luby-Rackoff in the sense that we can derive results for this model by simply letting the number of queries of the adversary to the public random functions $F_i$ be zero in our general bounds. We make an extensive use of the coupling technique. In particular (and as a result of independent interest), we improve the analysis of the coupling probability for balanced Feistel schemes previously carried out by Hoang and Rogaway (CRYPTO 2010).

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2014-03-01: last updated
2014-03-01: published
Short URL
https://ia.cr/2014/151
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2014/151,
      author = {Rodolphe Lampe and Yannick Seurin},
      title = {Security Analysis of Key-Alternating Feistel Ciphers},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/151},
      year = {2014},
      url = {https://eprint.iacr.org/2014/151}
}
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