Geodesic
On APN-functions and division property of multisets
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 237-239 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {M. A. Sorokin and M. A. Pudovkina},
     title = {On {APN-functions} and division property of multisets},
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     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a64/}
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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/

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