Diskretnaya Matematika, Tome 10 (1998) no. 4, pp. 3-34
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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/
@article{DM_1998_10_4_a0,
author = {V. L. Kurakin},
title = {The {Berlekamp{\textendash}Massey} algorithm over finite rings, modules and bimodules},
journal = {Diskretnaya Matematika},
pages = {3--34},
year = {1998},
volume = {10},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1998_10_4_a0/}
}
TY - JOUR
AU - V. L. Kurakin
TI - The Berlekamp–Massey algorithm over finite rings, modules and bimodules
JO - Diskretnaya Matematika
PY - 1998
SP - 3
EP - 34
VL - 10
IS - 4
UR - http://geodesic.mathdoc.fr/item/DM_1998_10_4_a0/
LA - ru
ID - DM_1998_10_4_a0
ER -
%0 Journal Article
%A V. L. Kurakin
%T The Berlekamp–Massey algorithm over finite rings, modules and bimodules
%J Diskretnaya Matematika
%D 1998
%P 3-34
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/DM_1998_10_4_a0/
%G ru
%F DM_1998_10_4_a0
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.