Analysis of Impossible, Integral and Zero-Correlation Attacks on Type-II Generalized Feistel Networks Using the Matrix Method

Abstract : While recent publications have shown strong relations between impossible differential and zero-correlation distinguishers as well as between zero-correlation and integral distinguishers, we analyze in this paper some relations between the underlying key-recovery attacks against Type-II Feistel networks. The results of this paper are build on the relation presented at ACNS 2013. In particular, using a matrix representation of the round function, we show that we can not only find impossible, integral and multidimensional zero-correlation distinguishers but also find the key-words involved in the underlined key-recovery attacks. Based on this representation, for matrix-method-derived strongly-related zero-correlation and impossible distinguishers, we show that the key-words involved in the zero-correlation attack is a subset of the key-words involved in the impossible differential attack. Other relations between the key-words involved in zero-correlation, impossible and integral attacks are also extracted. Also we show that in this context the data complexity of the multidimensional zero-correlation attack is larger than that of the other two attacks.
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https://hal.archives-ouvertes.fr/hal-01199223
Contributor : Marine Minier <>
Submitted on : Tuesday, September 15, 2015 - 10:20:03 AM
Last modification on : Saturday, October 27, 2018 - 1:20:05 AM

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Céline Blondeau, Marine Minier. Analysis of Impossible, Integral and Zero-Correlation Attacks on Type-II Generalized Feistel Networks Using the Matrix Method. Fast Software Encryption - 22nd International Workshop, FSE 2015, Istanbul, Turkey, March 8-11, 2015, Revised Selected Papers, 2015, Istanbul, Turkey. pp.92--113, ⟨10.1007/978-3-662-48116-5_5⟩. ⟨hal-01199223⟩

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