Geodesic
Local characteristics of smoothing properties of endomorphisms of finite Abelian groups
Matematičeskie voprosy kriptografii, Tome 6 (2015) no. 3, pp. 33-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $G$ be a finite Abelian group, $G^n$ be its $n$-fold Cartesian product, and $\vec\xi=(\xi_1,\xi_2,\dots,\xi_n)$ be a random element of $G^n$. We investigate the local characteristics of closeness of distribution of random element $H(\vec\xi\,)$, where $H\colon G^n\to G^m$, to the uniform distribution on $G^m$. Main results are connected with the case of independent identically distributed elements $\xi_1,\xi_2,\dots,\xi_n$ and endomorphism $H$ of group $G^n$ onto the group $G^m$. 
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V. O. Drelikhov; I. A. Kruglov. Local characteristics of smoothing properties of endomorphisms of finite Abelian groups. Matematičeskie voprosy kriptografii, Tome 6 (2015) no. 3, pp. 33-45. http://geodesic.mathdoc.fr/item/MVK_2015_6_3_a2/

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