Geodesic
Differential characteristics of base operations in ARX-ciphers
Matematičeskie voprosy kriptografii, Tome 11 (2020), pp. 97-105

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Probabilistic difference relations for operations of cyclic shift, addition modulo $2^n$ and component-wise addition modulo $2$ over elements of the space $V_n=GF(2)^n$, $n\geqslant2$, are considered. Differences between results of the operation and differences between its arguments connected by the concrete probabilistic difference relation may be computed by different addition operations. 
@article{MVK_2020_11_a5,
     author = {F. M. Malyshev},
     title = {Differential characteristics of base operations in {ARX-ciphers}},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {97--105},
     publisher = {mathdoc},
     volume = {11},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2020_11_a5/}
}
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F. M. Malyshev. Differential characteristics of base operations in ARX-ciphers. Matematičeskie voprosy kriptografii, Tome 11 (2020), pp. 97-105. http://geodesic.mathdoc.fr/item/MVK_2020_11_a5/