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http://dx.doi.org/10.13089/JKIISC.2017.27.3.467

Security Analysis on GFN with Secret S-box  

Lee, Yongseong (Center for Information Security Technologies(CIST), Korea University)
Kang, HyungChul (Center for Information Security Technologies(CIST), Korea University)
Hong, Deukjo (Chonbuk National Universitry)
Sung, Jaechul (University of Seoul)
Hong, Seokhie (Center for Information Security Technologies(CIST), Korea University)
Publication Information
Journal of the Korea Institute of Information Security & Cryptology / v.27, no.3, 2017 , pp. 467-476 More about this Journal
Abstract
In this paper, we analyze Generalized Feistel Network(GFN) Type I, Type II, Type III that round function use SP update function, secret S-box and $k{\times}k$ MDS matirx. In this case an attacker has no advantage about S-box. For each type of GFN, we analyze and restore secret S-box in 9, 6, 6 round using the basis of integral cryptanalysis with chosen plaintext attack. Also we restore secret S-box in 16 round of GFN Type I with chosen ciphertext attack. In conclusion, we need $2^{2m}$ data complexity and ${\frac{2^{3m}}{32k}},{\frac{2^{3m}}{24k}},{\frac{2^{3m}}{36k}}$ time complexity to restore m bit secret S-box in GFN Type I, Type II, Type III.
Keywords
Secret S-box; Integral cryptanalysis; Structural cryptanalysis; Generalized feistel networks;
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