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Extension of Meet-in-the-Middle Technique for Truncated Differential and Its Application to RoadRunneR

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Network and System Security (NSS 2016)

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Abstract

In the FSE 2015 conference, Li et al. introduced a new method to construct differential characteristics of block ciphers by exploiting the meet-in-the-middle like technique. Inspired by the method, in this paper we obtain general results on truncated differential characteristics of block ciphers with Feistel structure. Applying the result to RoadRunneR, which is a fast bit-slice lightweight block cipher proposed in the LightSec 2015 conference for low cost 8-bit processors, we find 5-round truncated differential characteristics with probability \(2^{-56}\). Using the truncated differential characteristics, we present a attack on 7-round RoadRunneR-128 without whitening keys, with data complexity of \(2^{55}\) chosen plaintexts, time complexity of \(2^{121}\) encryptions, and memory complexity of \(2^{68}\). This is the currently best known attack on RoadRunneR block cipher.

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Acknowledgements

The authors would like to thank anonymous reviewers for their helpful comments and suggestions. The work of this paper was supported by the National Key Basic Research Program of China (2013CB834203), the National Natural Science Foundation of China (Grants 61472417, 61402469 and 61472415), the Strategic Priority Research Program of Chinese Academy of Sciences under Grant XDA06010702, and the State Key Laboratory of Information Security, Chinese Academy of Sciences.

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Authors and Affiliations

  1. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China

    Qianqian Yang, Lei Hu, Siwei Sun & Ling Song

  2. Data Assurance and Communication Security Research Center, Chinese Academy of Sciences, Beijing, 100093, China

    Qianqian Yang, Lei Hu, Siwei Sun & Ling Song

  3. University of Chinese Academy of Sciences, Beijing, 100049, China

    Qianqian Yang

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  1. Qianqian Yang
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  2. Lei Hu
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  4. Ling Song
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Correspondence to Lei Hu .

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Editors and Affiliations

  1. Central China Normal University , Wuhan, China

    Jiageng Chen

  2. Università degli Studi di Milano , Crema (CR), Italy

    Vincenzo Piuri

  3. Osaka University , Osaka, Japan

    Chunhua Su

  4. Columbia University , New York, New York, USA

    Moti Yung

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Yang, Q., Hu, L., Sun, S., Song, L. (2016). Extension of Meet-in-the-Middle Technique for Truncated Differential and Its Application to RoadRunneR. In: Chen, J., Piuri, V., Su, C., Yung, M. (eds) Network and System Security. NSS 2016. Lecture Notes in Computer Science(), vol 9955. Springer, Cham. https://doi.org/10.1007/978-3-319-46298-1_26

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  • DOI: https://doi.org/10.1007/978-3-319-46298-1_26

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