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Structural Evaluation for Simon-Like Designs Against Integral Attack

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Information Security Practice and Experience (ISPEC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 10060))

Abstract

In 2013, NSA published a lightweight block cipher family, Simon, but left the security analysis and the design rationale as open problems. Kölbl et al. generalized Simon by regarding its rotation constants as a parameter and discussed the security of these Simon-like ciphers against differential and linear attacks in Crypto 2015. In this paper, we investigate both the security of Simon-like ciphers against integral attack as well as the design choice of NSA. Firstly, we use the inside-out approach to find the integral distinguishers for all Simon-like ciphers with arbitrary block size and rotation parameter. Based on the results, we derive the distribution of all possible parameters with respect to their distinguishers. Moreover, we give a comparison of the parameters by considering their behaviour in various block sizes, and therefore obtain 120 parameters that are equal or superior to the standard parameter. Finally, we discover an inherent flaw of re-using the round function in the key schedule, especially for the Simon-like ciphers. It can possibly explain why NSA does not adopt such an efficient design.

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Acknowledgments

We would like to thank the anonymous reviewers for their useful comments and suggestions. The research presented in this paper is supported by the National Basic Research Program of China (No. 2013CB338002) and National Natural Science Foundation of China (No. 61272476, 61672509 and 61232009).

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Authors and Affiliations

  1. TCA Laboratory, SKLCS, Institute of Software, Chinese Academy of Sciences, Beijing, 100190, China

    Huiling Zhang & Wenling Wu

  2. State Key Laboratory of Cryptology, P.O. Box 5159, Beijing, 100878, China

    Huiling Zhang

  3. University of Chinese Academy of Sciences, Beijing, 100190, China

    Huiling Zhang & Wenling Wu

Authors
  1. Huiling Zhang
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  2. Wenling Wu
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Correspondence to Huiling Zhang .

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Editors and Affiliations

  1. Huawei International, Singapore, Singapore

    Feng Bao

  2. University of Surrey, Guilford, Surrey, United Kingdom

    Liqun Chen

  3. Singapore Management University, Singapore, Singapore

    Robert H. Deng

  4. Guangzhou University, Guangzhou, Guangdong, China

    Guojun Wang

A Distinguisher for Parameter (0, b, c)

A Distinguisher for Parameter (0, b, c)

Table 5. The length of the distinguisher (IND) for parameter (0, b, c) when the block size is 32, 48, 64, 96 and 128, respectively.
Full size table

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Zhang, H., Wu, W. (2016). Structural Evaluation for Simon-Like Designs Against Integral Attack. In: Bao, F., Chen, L., Deng, R., Wang, G. (eds) Information Security Practice and Experience. ISPEC 2016. Lecture Notes in Computer Science(), vol 10060. Springer, Cham. https://doi.org/10.1007/978-3-319-49151-6_14

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  • DOI: https://doi.org/10.1007/978-3-319-49151-6_14

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