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

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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/}
}
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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/