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Related-Tweakey Impossible Differential Attack on Reduced-Round SKINNY-AEAD M1/M3

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Book cover Topics in Cryptology – CT-RSA 2022 (CT-RSA 2022)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 13161))

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Abstract

SKINNY-AEAD is one of the second-round candidates of the Lightweight Cryptography Standardization project held by NIST. SKINNY-AEAD M1 is the primary member of six SKINNY-AEAD schemes, while SKINNY-AEAD M3 is another member with a small tag. In the design document, only security analyses of their underlying primitive SKINNY-128-384 are provided. Besides, there are no valid third-party analyses on SKINNY-AEAD M1/M3 according to our knowledge. Therefore, this paper focuses on constructing the first third-party security analyses on them under a nonce-respecting scenario. By taking the encryption mode of SKINNY-AEAD into consideration and exploiting several properties of SKINNY, we can deduce some necessary constraints on the input and tweakey differences of related-tweakey impossible differential distinguishers. Under these constraints, we can find distinguishers suitable for mounting powerful tweakey recovery attacks. With the help of the automatic searching algorithms based on STP, we find some 14-round distinguishers. Based on one of these distinguishers, we mount a 20-round and an 18-round tweakey recovery attack on SKINNY-AEAD M1/M3. To the best of our knowledge, all these attacks are the best ones so far.

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Notes

  1. 1.

    https://csrc.nist.gov/Projects/lightweight-cryptography/round-2-candidates.

  2. 2.

    |A| denotes the bit length of associated data A. When \(|A|=0\), there is no encryption of associated data in the tweakey recovery attack.

  3. 3.

    Taking a 20-round tweakey recovery attack as an example, we explain why \(\varDelta \mathcal {TK}_{1}^1[p]=\) 0x03. In the tweakey recovery attacks, if \(\varDelta \mathcal {TK}_{1}^1[p]=\) 0x03, we will utilize plaintext-ciphertext pairs in the i-th and \((i+1)\)-th block of encryptions in SKINNY-AEAD M1/M3, where \(i= 8 \cdot ((P_T^{-1}) \circ (P_T^{-1}(p))) +1\), which needs less time complexity than other values once p is fixed.

  4. 4.

    https://github.com/stp/stp.

  5. 5.

    \(p_i\) and \(p_o\) denote the active cell positions corresponding to the input and out differences of the distinguisher, respectively.

  6. 6.

    We define the master tweakey corresponding to Key as master key MK.

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Acknowledgements

This work has been supported by the National Natural Science Foundation of China (Grant No. 62032014 and Grant No. 62002204), the National Key Research and Development Program of China (Grant No. 2018YFA0704702), the Major Basic Research Project of Natural Science Foundation of Shandong Province, China (Grant No. ZR202010220025).

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Authors and Affiliations

  1. School of Cyber Science and Technology, Shandong University, Qingdao, 266237, Shandong, China

    Yanhong Fan, Muzhou Li, Chao Niu, Zhenyu Lu & Meiqin Wang

  2. Key Laboratory of Cryptologic Technology and Information Security of Ministry of Education, Shandong University, Qingdao, 266237, Shandong, China

    Yanhong Fan, Muzhou Li, Chao Niu, Zhenyu Lu & Meiqin Wang

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  1. Yanhong Fan
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Correspondence to Meiqin Wang .

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  1. University of Auckland, Auckland, New Zealand

    Steven D. Galbraith

A 18-Round Related-Tweakey Impossible Differential Attack for SKINNY-AEAD M1/M3

A 18-Round Related-Tweakey Impossible Differential Attack for SKINNY-AEAD M1/M3

Fig. 7.
figure 7

18-round related-tweakey impossible differential attack for SKINNY-AEAD M1/M3

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Fan, Y., Li, M., Niu, C., Lu, Z., Wang, M. (2022). Related-Tweakey Impossible Differential Attack on Reduced-Round SKINNY-AEAD M1/M3. In: Galbraith, S.D. (eds) Topics in Cryptology – CT-RSA 2022. CT-RSA 2022. Lecture Notes in Computer Science(), vol 13161. Springer, Cham. https://doi.org/10.1007/978-3-030-95312-6_11

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  • DOI: https://doi.org/10.1007/978-3-030-95312-6_11

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