SUN Bing, ZHANG Peng, LI Chao, WU Juying. Higher Order Integral Cryptanalysis of Zodiac[J]. Chinese Journal of Electronics, 2013, 22(3): 589-593.
Citation: SUN Bing, ZHANG Peng, LI Chao, WU Juying. Higher Order Integral Cryptanalysis of Zodiac[J]. Chinese Journal of Electronics, 2013, 22(3): 589-593.

Higher Order Integral Cryptanalysis of Zodiac

Funds:  This work is supported by the National Natural Science Foundation of China (No.61103192, No.61070215) and the Open Research Fund of State Key Laboratory of Information Security (No.01-02-5).
  • Received Date: 2011-06-01
  • Rev Recd Date: 2011-12-01
  • Publish Date: 2013-06-15
  • This paper mainly focuses on the security of Zodiac against integral cryptanalysis. Firstly, a systematic method is given to extend an integral distinguisher of Feistel ciphers with PS or SP round functions into a higher order integral distinguisher. Secondly, this method is applied to Zodiac, and a full-round (16-round) integral distinguisher is given. Taking the properties of the linear transformation into consideration, it is showed that extending an integral distinguisher into a higher order one can be reduced into decomposition of linear spaces into direct sums. At last, some key-recovery attacks against full round Zodiac are applied using distinguishers with 15-/13round, respectively.
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