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Improved Results of Impossible Differential Cryptanalysis on Reduced FOX (2016)

Li, X., Jin, C.-H., Fu, F.-W.

Oxford University Press

In: Computer Journal

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Publication Date: 2016-03-29

Description: FOX is a family of block ciphers published in 2004 and several attacks on reduced FOX have been published, and the best known attacks are on 7-round FOX64 and 5-round FOX128. In this paper, we present impossible differential attacks on 8-round FOX64 and 6-round FOX128 with various techniques such as the multiple differentials, the state-test technique, the quick sort method and the early abort technique. For 8-round FOX64, the data complexity and the time complexity is $2^{42}$ and $2^{239.54}$ one-round encryptions, respectively, and the memory required is $2^{44}$ bytes. For 6-round FOX128, the data complexity and the time complexity is $2^{75}$ and $2^{209.55}$ one-round encryptions, respectively, and the memory required is $2^{77}$ bytes.

Print ISSN: 0010-4620

Electronic ISSN: 1460-2067

Topics: Computer Science

Published by Oxford University Press

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