Geodesic
On differentials for the modification of the cipher Simon based on the Lai~--- Messi scheme
Prikladnaya Diskretnaya Matematika. Supplement, no. 13 (2020), pp. 119-121.

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We consider the block iterative cipher Simon based on the Feistel network and its modification based on the Lai — Messi scheme. Received estimates of differentials of the considered ciphers are compared. The results show that after $12$ rounds, estimate of the maximum probability of a differential for the modified cipher Simon $32/64$ without adding an orthomorphism is $2^{-24}$, and with the addition of orthomorphism is between $2^{-24}$ and $2^{-63}$, while the estimate of maximum probability for the original version is $2^{-36}$.
Keywords: Lay — Massey scheme, Feistel network, differential cryptanalysis. 
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     author = {A. A. Belousova and N. N. Tokareva},
     title = {On differentials for the modification of the cipher {Simon} based on the {Lai~---} {Messi} scheme},
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A. A. Belousova; N. N. Tokareva. On differentials for the modification of the cipher Simon based on the Lai~--- Messi scheme. Prikladnaya Diskretnaya Matematika. Supplement, no. 13 (2020), pp. 119-121. http://geodesic.mathdoc.fr/item/PDMA_2020_13_a34/

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