[Resource Topic] 2018/332: Differential Cryptanalysis of Round-Reduced Sparx-64/128

Welcome to the resource topic for 2018/332

Title:
Differential Cryptanalysis of Round-Reduced Sparx-64/128

Authors: Ralph Ankele, Eik List

Abstract:

Sparx is a family of ARX-based block ciphers designed according to the long-trail strategy (LTS) that were both introduced by Dinu et al. at ASIACRYPT’16. Similar to the wide-trail strategy, the LTS allows provable upper bounds on the length of differential characteristics and linear paths. Thus, the cipher is a highly interesting target for third-party cryptanalysis. However, the only third-party cryptanalysis on Sparx-64/128 to date was given by Abdelkhalek et al. at AFRICACRYPT’17 who proposed impossible-differential attacks on 15 and 16 (out of 24) rounds. In this paper, we present chosen-ciphertext differential attacks on 16 rounds of Sparx-64/128. First, we show a truncated-differential analysis that requires 2^{32} chosen ciphertexts and approximately 2^{93} encryptions. Second, we illustrate the effectiveness of boomerangs on Sparx by a rectangle attack that requires approximately 2^{59.6} chosen ciphertexts and about 2^{122.2} encryption equivalents. Finally, we also considered a yoyo attack on 16 rounds that, however, requires the full codebook and approximately 2^{126} encryption equivalents.

ePrint: https://eprint.iacr.org/2018/332

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