Geodesic
On probabilities of differential trails in the Bash-f sponge function
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 86-90.

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

We propose two methods to obtain lower bounds on the weights of differential trails in the Bash-f sponge function. Our bounds restrict the probabilities of the trails from above and can be used to justify the security of cryptographic algorithms based on Bash-f against differential attacks. For the full $24$-round trails, our best bound on the probabilities is $2^{-386}$.
Keywords: sponge function, S-box, differential cryptanalysis, differential trail. 
@article{PDMA_2019_12_a26,
     author = {S. V. Agievich and A. S. Maslov and Yu. S. Yarashenya},
     title = {On probabilities of differential trails in the {Bash-f} sponge function},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {86--90},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a26/}
}
TY  - JOUR
AU  - S. V. Agievich
AU  - A. S. Maslov
AU  - Yu. S. Yarashenya
TI  - On probabilities of differential trails in the Bash-f sponge function
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2019
SP  - 86
EP  - 90
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2019_12_a26/
LA  - ru
ID  - PDMA_2019_12_a26
ER  - 
%0 Journal Article
%A S. V. Agievich
%A A. S. Maslov
%A Yu. S. Yarashenya
%T On probabilities of differential trails in the Bash-f sponge function
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2019
%P 86-90
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2019_12_a26/
%G ru
%F PDMA_2019_12_a26
S. V. Agievich; A. S. Maslov; Yu. S. Yarashenya. On probabilities of differential trails in the Bash-f sponge function. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 86-90. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a26/

[1] Daemen J., Van Assche G., “Differential propagation analysis of Keccak”, FSE'2012, LNCS, 7549, 2012, 422–441 | Zbl

[2] Mella S., Daemen J., Van Assche G., “New techniques for trail bounds and application to differential trails in Keccak”, IACR Trans. Symmetric Cryptology, 2017, no. 1, 329–357 | MR

[3] Agievich S., Marchuk V., Maslau A., Semenov V., “Bash-f: another LRX sponge function”, Matematicheskie voprosy kriptografii, 8:2 (2017), 7–28 | DOI | MR