Geodesic
Binomial presentation of linear recurring sequences
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 553-556
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It is proved that any linear recurring sequence over commutative local Artinian ring $R$ can be presented as a linear combination of binomial sequences over some Galois extension $S$ of $R$. If the roots of the binomial sequences belong to the fixed coordinate set of $S$, then this presentation is unique. 
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V. L. Kurakin. Binomial presentation of linear recurring sequences. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 553-556. http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a18/

[1] Nechaev A. A., “Lineinye rekurrentnye posledovatelnosti nad kommutativnymi koltsami”, Diskr. matem., 3:4 (1991), 105–127 | MR | Zbl

[2] Ganske G., McDonald B. R., “Finite local rings”, Rocky Mountain J. of Math., 3:4 (1973), 521–540 | DOI | MR | Zbl

[3] Nechaev A. A., “Lineinye rekurrentnye posledovatelnosti nad kvazifrobeniusovymi modulyami”, Uspekhi matem. nauk, 48:3 (1993), 197–198 | MR | Zbl