Geodesic
Orbital derivatives on residue rings. Part~I. General properties
Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 99-127

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For mappings $f\colon H\to F$, where $H$ and $F$ are Abelian groups, a definition of the $t^{th}$-order orbital derivative is introduced. The definition is based on structures of orbits of subgroups of $H$. Properties of the $t^{th}$-order orbital derivative on the residue ring $\mathbb Z_{2^n}$ are described. 
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     author = {B. A. Pogorelov and M. A. Pudovkina},
     title = {Orbital derivatives on residue rings. {Part~I.} {General} properties},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {99--127},
     publisher = {mathdoc},
     volume = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2014_5_a5/}
}
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B. A. Pogorelov; M. A. Pudovkina. Orbital derivatives on residue rings. Part~I. General properties. Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 99-127. http://geodesic.mathdoc.fr/item/MVK_2014_5_a5/