Geodesic
The second coordinate sequence of a linear recurrence of maximum period over ring $\mathbb{Z}_{8}$
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 9-10

Voir la notice de l'article provenant de la source Math-Net.Ru

The analytical structure of the second coordinate in a linear recurrence sequence over ring $\mathbb{Z}_{8}$ is described. The lower bound of its rank (linear complexity) is specified. The class of polynomials and recurrences of the maximum period with the highest possible rank is found.
Keywords: linear recurring sequence, coordinate sequence, rank, analytical structure. 
@article{PDMA_2013_6_a2,
     author = {D. N. Bylkov},
     title = {The second coordinate sequence of a linear recurrence of maximum period over ring $\mathbb{Z}_{8}$},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {9--10},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a2/}
}
TY  - JOUR
AU  - D. N. Bylkov
TI  - The second coordinate sequence of a linear recurrence of maximum period over ring $\mathbb{Z}_{8}$
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2013
SP  - 9
EP  - 10
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2013_6_a2/
LA  - ru
ID  - PDMA_2013_6_a2
ER  - 
%0 Journal Article
%A D. N. Bylkov
%T The second coordinate sequence of a linear recurrence of maximum period over ring $\mathbb{Z}_{8}$
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2013
%P 9-10
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2013_6_a2/
%G ru
%F PDMA_2013_6_a2
D. N. Bylkov. The second coordinate sequence of a linear recurrence of maximum period over ring $\mathbb{Z}_{8}$. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 9-10. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a2/