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Table 3 Impossible differential trails for SIMECK by applying miss-from-the-middle

From: Searching for impossible subspace trails and improved impossible differential characteristics for SIMON-like block ciphers

 

Rounds

Impossible differential trails

SIMECK48

15

(000000, 400000) \(\nrightarrow \) (800008, 000000)

  

(000000, 400000) \(\nrightarrow \) (800000, 000000)

  

(000000, 800008) \(\nrightarrow \) (400000, 000000)

  

(000000, 400000) \(\nrightarrow \) (000008, 000000)

  

(000000, 000008) \(\nrightarrow \) (400000, 000000)

  

(000000, 800000) \(\nrightarrow \) (400000, 000000)

SIMECK64

17

(00000000, 00000002) \(\nrightarrow \) (40000046, 00000000)

  

(00000000, 40000040) \(\nrightarrow \) (00000002, 00000000)

  

(00000000, 00000002) \(\nrightarrow \) (40000040, 00000000)

  

(00000000, 40000046) \(\nrightarrow \) (00000002, 00000000)

  

(00000000, 40000004) \(\nrightarrow \) (00000002, 00000000)

  

(00000000, 40000002) \(\nrightarrow \) (00000002, 00000000)

  

(00000000, 00000002) \(\nrightarrow \) (40000004, 00000000)

  

(00000000, 00000002) \(\nrightarrow \) (40000044, 00000000)

  

(00000000, 00000002) \(\nrightarrow \) (40000000, 00000000)

  

(00000000, 00000002) \(\nrightarrow \) (40000042, 00000000)

  

(00000000, 40000006) \(\nrightarrow \) (00000002, 00000000)

  

(00000000, 40000044) \(\nrightarrow \) (00000002, 00000000)

  

(00000000, 40000042) \(\nrightarrow \) (00000002, 00000000)

  

(00000000, 00000002) \(\nrightarrow \) (40000002, 00000000)

  

(00000000, 00000002) \(\nrightarrow \) (40000006, 00000000)

  

(00000000, 40000000) \(\nrightarrow \) (00000002, 00000000)