Table 4 Impossible differential trails for SIMON by applying miss-from-the-middle

SIMON64

13

(00000000, 08000080) \(\nrightarrow \) (40000000, 00000000)

(00000000, 10000000) \(\nrightarrow \) (80000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000082, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000083, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000083, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000001, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000001, 00000000)

(00000000, 48000003) \(\nrightarrow \) (40000000, 00000000)

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

(00000000, 80000000) \(\nrightarrow \) (10000000, 00000000)

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

(00000000, 48000082) \(\nrightarrow \) (40000000, 00000000)

(00000000, 48000001) \(\nrightarrow \) (40000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000002, 00000000)

(00000000, 08000082) \(\nrightarrow \) (40000000, 00000000)

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

(00000000, 08000002) \(\nrightarrow \) (40000000, 00000000)

(00000000, 00000001) \(\nrightarrow \) (20000000, 00000000)

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

(00000000, 80000000) \(\nrightarrow \) (00000004, 00000000)

(00000000, 08000001) \(\nrightarrow \) (40000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000003, 00000000)

(00000000, 08000003) \(\nrightarrow \) (40000000, 00000000)

(00000000, 48000083)\(\nrightarrow \) (40000000, 00000000)

(00000000, 00000004) \(\nrightarrow \) (80000000, 00000000)

(00000000, 20000000) \(\nrightarrow \) (00000001, 00000000)

(00000000, 48000000) \(\nrightarrow \) (40000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000082, 00000000)

(00000000, 48000081) \(\nrightarrow \) (40000000, 00000000)

(00000000, 08000081) \(\nrightarrow \) (40000000, 00000000)

(00000000, 90000000) \(\nrightarrow \) (80000000, 00000000)

(00000000, 48000080) \(\nrightarrow \) (40000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000080, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000002, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000080, 00000000)

(00000000, 48000002) \(\nrightarrow \) (40000000, 00000000)

(00000000, 08000083) \(\nrightarrow \) (40000000, 00000000)

(00000000, 08000000) \(\nrightarrow \) (40000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000081, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000003, 00000000)

(00000000, 40000000) \(\nrightarrow \) (08000081, 00000000)

(00000000, 80000000) \(\nrightarrow \) (90000000, 00000000)

(00000000, 40000000) \(\nrightarrow \) (48000000, 00000000)