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

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Rounds

Impossible differential trails

SIMON64

13

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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