On linear hulls in one round of DES

Tomer Ashur; Raluca Posteuca

Paper 2018/635

On linear hulls in one round of DES

Tomer Ashur and Raluca Posteuca

Abstract

At Indocrypt 2016, Ashur et al. showed that linear hulls are sometimes formed in a single round of a cipher (exemplifying on Simon ciphers) and showed that the success rate of an attack may be influenced by the quality of the estimation of one-round correlations. This paper improves the understanding regarding one-round linear hulls and trails, being dedicated to the study of one-round linear hulls of the DES cipher, more exactly of its $f$-function. It shows that, in the case of DES, the existence of one-round hulls is related to the number of active Sboxes and its correlation depends on a fixed set of key bits. All the ideas presented in this paper are followed by examples and are verified experimentally.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: DES Linear Cryptanalysis Linear Hulls
Contact author(s): raluca posteuca @ esat kuleuven be
History: 2018-07-03: received
Short URL: https://ia.cr/2018/635
License: CC BY

BibTeX

@misc{cryptoeprint:2018/635,
      author = {Tomer Ashur and Raluca Posteuca},
      title = {On linear hulls in one round of {DES}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/635},
      year = {2018},
      url = {https://eprint.iacr.org/2018/635}
}