Geodesic
An algorithm to restore a~linear recurring sequence over the ring $R=\mathbf Z_{p^n}$ from a~linear complication of its highest coordinate sequence
Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 104-120

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Let $u$ be a linear recurring sequence of maximal period over the ring $\mathbf Z_{p^n}$ and be a pseudo-random sequence over the field $\mathbf Z_p$ obtained by multiplying the highest coordinate sequence of $u$ by some polynomial. In this paper we analyse possibilities and ways to restore $u$ from a given $v$. A short survey of earlier results is given. 
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     author = {D. N. Bylkov and A. A. Nechaev},
     title = {An algorithm to restore a~linear recurring sequence over the ring $R=\mathbf Z_{p^n}$ from a~linear complication of its highest coordinate sequence},
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D. N. Bylkov; A. A. Nechaev. An algorithm to restore a~linear recurring sequence over the ring $R=\mathbf Z_{p^n}$ from a~linear complication of its highest coordinate sequence. Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 104-120. http://geodesic.mathdoc.fr/item/DM_2010_22_4_a7/