The Berlekamp--Massey algorithm over finite rings, modules and bimodules
Diskretnaya Matematika, Tome 10 (1998) no. 4, pp. 3-34.

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We give an algorithm for finding a monic polynomial of the least degree that generates a given sequence $u(0,l-1)$ of length $l$ with complexity $O(l^2)$ operations as $l\to\infty$. We consider the sequences $u(0,l-1)$ over a finite ring $R$ with identity, over a finite module $_R M$, or over finite bimodule $_A M_B$, where $A$ and $B$ are finite rings with identities.
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     author = {V. L. Kurakin},
     title = {The {Berlekamp--Massey} algorithm over finite rings, modules and bimodules},
     journal = {Diskretnaya Matematika},
     pages = {3--34},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1998_10_4_a0/}
}
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V. L. Kurakin. The Berlekamp--Massey algorithm over finite rings, modules and bimodules. Diskretnaya Matematika, Tome 10 (1998) no. 4, pp. 3-34. http://geodesic.mathdoc.fr/item/DM_1998_10_4_a0/