[Resource Topic] 2018/635: On linear hulls in one round of DES

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On linear hulls in one round of DES

Authors: Tomer Ashur, Raluca Posteuca


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.

ePrint: https://eprint.iacr.org/2018/635

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