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Volume 45 Issue 2
Feb.  2023
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YANG Yang, LIU Wenhao, ZENG Guang. 7-round Subspace Trail Distinguisher of 3D Cipher[J]. Journal of Electronics & Information Technology, 2023, 45(2): 617-625. doi: 10.11999/JEIT211438
Citation: YANG Yang, LIU Wenhao, ZENG Guang. 7-round Subspace Trail Distinguisher of 3D Cipher[J]. Journal of Electronics & Information Technology, 2023, 45(2): 617-625. doi: 10.11999/JEIT211438

7-round Subspace Trail Distinguisher of 3D Cipher

doi: 10.11999/JEIT211438
Funds:  The Open Fund Project of the State Key Laboratory of Mathematical Engineering and Advanced Computing (2020A08)
  • Received Date: 2021-12-06
  • Rev Recd Date: 2022-06-13
  • Available Online: 2022-06-30
  • Publish Date: 2023-02-07
  • Subspace trail attack is a new analysis method for block ciphers. The properties of subspaces of 3D cipher which uses a new structure of AES-like ciphers is studied. First of all, a 3-round definite subspace trail of 3Dcipher is constructed in this paper, combined with the intersection property of subspaces, and the 7-round subspace trail impossible differential distinguisher of 3D cipher is obtained for the first time. Its data complexity is $ {2^{193.1}} $ chosen plaintexts, time complexity is $ {2^{202.3}} $ look-up operations, and the success rate is $ 60.6\% $. The multiple-of-n property means that all plaintext pairs in the subspace undergo a round of encryption, and the number of ciphertext pairs whose differences belong to a certain subspace is a multiple of n. Using this property, a 7-round structural distinguisher of 3D cipher is constructed. The data complexity is $ {2^{128}} $ chosen plaintexts, the time complexity is $ {2^{129.6}} $ look-up operations, the storage complexity is $ {2^{128}} $ Byte, and the success rate is greater than $ 99.99\% $.
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