The Berlekamp--Massey algorithm over finite rings, modules and bimodules
Diskretnaya Matematika, Tome 10 (1998) no. 4, pp. 3-34
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{DM_1998_10_4_a0,
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/}
}
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/