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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{PDMA_2020_13_a34,
     author = {A. A. Belousova and N. N. Tokareva},
     title = {On differentials for the modification of the cipher {Simon} based on the {Lai~{\textemdash}} {Messi} scheme},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {119--121},
     year = {2020},
     number = {13},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2020_13_a34/}
}
TY  - JOUR
AU  - A. A. Belousova
AU  - N. N. Tokareva
TI  - On differentials for the modification of the cipher Simon based on the Lai — Messi scheme
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2020
SP  - 119
EP  - 121
IS  - 13
UR  - http://geodesic.mathdoc.fr/item/PDMA_2020_13_a34/
LA  - ru
ID  - PDMA_2020_13_a34
ER  - 
%0 Journal Article
%A A. A. Belousova
%A N. N. Tokareva
%T On differentials for the modification of the cipher Simon based on the Lai — Messi scheme
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2020
%P 119-121
%N 13
%U http://geodesic.mathdoc.fr/item/PDMA_2020_13_a34/
%G ru
%F PDMA_2020_13_a34
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/

[1] Nakahara J., Lai–Massey Cipher Designs. History, Design Criteria and Cryptanalysis, Springer Nature Switzerland AG, 2018 | MR | Zbl

[2] Beaulieu R., Shors D., Smith J., et al., The Simon and Speck Families Of Lightweight Block Ciphers, Cryptology ePrint Archive, Report 2013/404, 2013

[3] Abed F., List E., Lucks S., Wenzel J., Differential and Linear Cryptanalysis of Reduced-Round Simon, Cryptology ePrint Archive, Report 2013/526, 2013

[4] Vaudenay S., “On the Lai–Massey Scheme”, ASIACRYPT'99, LNCS, 1716, 1999, 8–19 | MR | Zbl

[5] Biham E., Shamir A., Differential Cryptanalysis of the Data Encryption Standard, Springer, Berlin–Heidelberg, 1993 | MR | Zbl