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Cryptanalysis of a Generalized Unbalanced Feistel Network Structure

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Information Security and Privacy (ACISP 2010)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 6168))

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Abstract

This paper reevaluates the security of GF-NLFSR, a new kind of generalized unbalanced Feistel network structure that was proposed at ACISP 2009. We show that GF-NLFSR itself reveals a very slow diffusion rate, which could lead to several distinguishing attacks. For GF-NLFSR containing n sub-blocks, we find an n 2-round integral distinguisher by algebraic methods and further use this integral to construct an (n 2 + n − 2)-round impossible differential distinguisher. Compared with the original (3n − 1)-round integral and (2n − 1)-round impossible differential, ours are significantly better.

Another contribution of this paper is to introduce a kind of non-surjective attack by analyzing a variant structure of GF-NLFSR, whose provable security against differential and linear cryptanalysis can also be provided. The advantage of the proposed non-surjective attack is that traditional non-surjective attack is only applicable to Feistel ciphers with non-surjective (non-uniform) round functions, while ours could be applied to block ciphers with bijective ones. Moreover, its data complexity is \(\mathcal{O}(l)\) with l the block length.

The work in this paper is supported by the Natural Science Foundation of China (No: 60803156), the open research fund of State Key Laboratory of Information Security (No: 01-07) and the open research fund of National Mobile Communications Research Laboratory of Southeast University (No: W200807).

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Author information

Authors and Affiliations

  1. Department of Mathematics and System Science, Science College, National University of Defense Technology, Changsha, 410073, China

    Ruilin Li, Bing Sun, Chao Li & Longjiang Qu

  2. State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing, 100190, China

    Chao Li

  3. National Mobile Communications Research Laboratory, Southeast University, Nanjing, 210096, China

    Longjiang Qu

Authors
  1. Ruilin Li
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  2. Bing Sun
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  3. Chao Li
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  4. Longjiang Qu
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Editor information

Editors and Affiliations

  1. Department of Computing, Macquarie University,, NSW 2109, North Ryde, Australia

    Ron Steinfeld

  2. Qualcomm Incorporated, Suite 301, Level 3, 77 King Street, NSW 2000, Sydney, Australia

    Philip Hawkes

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Li, R., Sun, B., Li, C., Qu, L. (2010). Cryptanalysis of a Generalized Unbalanced Feistel Network Structure. In: Steinfeld, R., Hawkes, P. (eds) Information Security and Privacy. ACISP 2010. Lecture Notes in Computer Science, vol 6168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14081-5_1

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  • DOI: https://doi.org/10.1007/978-3-642-14081-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14080-8

  • Online ISBN: 978-3-642-14081-5

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