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Related-Key Impossible Differential Analysis of Full Khudra

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Advances in Information and Computer Security (IWSEC 2016)

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Abstract

Khudra is a block cipher proposed by Souvik Kolay and Debdeep Mukhopadhyay in the SPACE 2014 conference which is applicable to Field Programmable Gate Arrays (FPGAs). It is an 18-round lightweight cipher based on recursive Feistel structure, with a 64-bit block size and 80-bit key size. The designers indicated that 18 rounds of Khudra provide sufficient security margin for related key attacks. But in this paper, we obtain \(2^{16}\) 14-round related-key impossible differentials of Khudra, and based on these related-key impossible differentials for 32 related keys, we launch an attack on the full Khudra with data complexity of \(2^{63}\) related-key chosen-plaintexts, time complexity of about \(2^{68.46}\) encryptions and memory complexity of \(2^{64}\). This is the first known attack on full Khudra.

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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. Japan Broadcasting Corporation, Tokyo, Japan

    Kazuto Ogawa

  2. Yokohama National University, Yokohama, Japan

    Katsunari Yoshioka

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Yang, Q., Hu, L., Sun, S., Song, L. (2016). Related-Key Impossible Differential Analysis of Full Khudra . In: Ogawa, K., Yoshioka, K. (eds) Advances in Information and Computer Security. IWSEC 2016. Lecture Notes in Computer Science(), vol 9836. Springer, Cham. https://doi.org/10.1007/978-3-319-44524-3_8

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  • DOI: https://doi.org/10.1007/978-3-319-44524-3_8

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-44524-3

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