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Title:
Impossible Differential Cryptanalysis of FOX
Authors: Zhongming Wu, Xuejia Lai, Bo Zhu, Yiyuan Luo
Abstract:Block ciphers are the very foundation of computer and information security. FOX, also known as IDEA NXT, is a family of block ciphers published in 2004 and is famous for its provable security to cryptanalysis. In this paper, we apply impossible differential cryptanalysis on FOX cipher. We find a 4-round impossible difference, by using which adversaries can attack 5, 6 and 7-round FOX64 with 2^{71}, 2^{135} and 2^{199} one-round encryptions respectively. Compared to the previous best attack with 2^{109.4}, 2^{173.4} and 2^{237.4} full-round encryptions to 5, 6 and 7-round FOX64, the method in this paper is the best attack to FOX cipher. This attack can also be applied to 5-round FOX128 with 2^{135} one-round encryptions.
ePrint: https://eprint.iacr.org/2009/357
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