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Table 7 Impossible subspace trails for SIMECK. For simplicities, we denote 0000 by 0 and arbitrary four bits by ?

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

  Rounds Impossible subspace trails
SIMECK32 11 (0|0|0|0,0|0|0|00*0) \(\nrightarrow \) (0001 |*000 |**00 |***0, 0|0|0*00 |0**0)
   (0|0|0*00 |0**0,0001 |*000 |**00 |***0) \(\nrightarrow \) (0|0|0|00*0, 0|0|0|0)
SIMECK48 13 (0|0|0|0|0|0,0|0|0|0|000* |000*) \(\nrightarrow \) (0|1000|0*00 |0**0 |0*** |0***,
   0|0|0|00*0 |00** |00**)
   (0|0|0|00*0 |00** |00**, 0|1000|0*00 |0**0 |0*** |0***) \(\nrightarrow \)
   (0|0|0|0|000* |000*, 0|0|0|0|0|0)
SIMECK64 15 (0|0|0|0|0|0|0|0,0|0|0|0|0|0|0|0*00) \(\nrightarrow \) (0|1000|0*00 |0**0 |0*** |
   0***| ?|?, 0|0|0|00*0 |00** |00** |*0** |?)
   (0|0|0|00*0 |00** |00** |*0** |?, 0|1000|0*00 |0**0 |0*** |0***| ?|?) \(\nrightarrow \)
   (0|0|0|0|0|0|0|0*00, 0|0|0|0|0|0|0|0)