Geodesic
On APN-functions and division property of multisets
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 237-239.

Voir la notice de l'article provenant de la source Math-Net.Ru

In 2015, the division property was proposed as a tool to construct an integral distinguisher. According to this technique, the less the number $\left\lceil n/d \right\rceil $ is for a $n$-bit S-box of degree $d$, the fewer rounds might be in an integral distinguisher. In this paper, the number $\left\lceil n/d \right\rceil $ for some binary APN-transformations is studied. The best parameters of the APN-transformations are identified to reduce the number of rounds in the integral distinguisher.
Mots-clés : APN-transformations
Keywords: division property, integral distinguisher, integral cryptanalysis. 
@article{PDMA_2019_12_a64,
     author = {M. A. Sorokin and M. A. Pudovkina},
     title = {On {APN-functions} and division property of multisets},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {237--239},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a64/}
}
TY  - JOUR
AU  - M. A. Sorokin
AU  - M. A. Pudovkina
TI  - On APN-functions and division property of multisets
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2019
SP  - 237
EP  - 239
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2019_12_a64/
LA  - ru
ID  - PDMA_2019_12_a64
ER  - 
%0 Journal Article
%A M. A. Sorokin
%A M. A. Pudovkina
%T On APN-functions and division property of multisets
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2019
%P 237-239
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2019_12_a64/
%G ru
%F PDMA_2019_12_a64
M. A. Sorokin; M. A. Pudovkina. On APN-functions and division property of multisets. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 237-239. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a64/

[1] Nyberg K., Knudsen L.R., “Provable security against differential cryptanalysis”, CRYPTO 1992, LNCS, 740, 1993, 566–574 | MR | Zbl

[2] Todo Y., “Structural evaluation by generalized integral property”, EUROCRYPT 2015, v. I, LNCS, 9056, 2015, 287–314 | MR | Zbl

[3] Tuzhilin M. E., “Pochti sovershennye nelineinye funktsii”, Prikladnaya diskretnaya matematika, 5:3 (2009), 14–20 | MR