Geodesic
Cyclic structure of a polynomial generator over the Galois ring
Matematičeskie voprosy kriptografii, Tome 4 (2013) no. 1, pp. 27-57 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The cyclic structure of a polynomial generator over the Galois ring is investigated. Results may be used in the study of cryptographic properties of the output sequence of a polynomial generator. 
@article{MVK_2013_4_1_a1,
     author = {D. M. Ermilov and O. A. Kozlitin},
     title = {Cyclic structure of a~polynomial generator over the {Galois} ring},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {27--57},
     year = {2013},
     volume = {4},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2013_4_1_a1/}
}
TY  - JOUR
AU  - D. M. Ermilov
AU  - O. A. Kozlitin
TI  - Cyclic structure of a polynomial generator over the Galois ring
JO  - Matematičeskie voprosy kriptografii
PY  - 2013
SP  - 27
EP  - 57
VL  - 4
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MVK_2013_4_1_a1/
LA  - ru
ID  - MVK_2013_4_1_a1
ER  - 
%0 Journal Article
%A D. M. Ermilov
%A O. A. Kozlitin
%T Cyclic structure of a polynomial generator over the Galois ring
%J Matematičeskie voprosy kriptografii
%D 2013
%P 27-57
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/MVK_2013_4_1_a1/
%G ru
%F MVK_2013_4_1_a1
D. M. Ermilov; O. A. Kozlitin. Cyclic structure of a polynomial generator over the Galois ring. Matematičeskie voprosy kriptografii, Tome 4 (2013) no. 1, pp. 27-57. http://geodesic.mathdoc.fr/item/MVK_2013_4_1_a1/

[1] Anashin V. S., “O gruppakh i koltsakh, obladayuschikh tranzitivnymi polinomami”, XVI Vsesoyuznaya algebraicheskaya konferentsiya, Tezisy, Chast II, 1981, 4–5

[2] Asanov M. O., Baranskii V. A., Rasin V. V., Diskretnaya matematika: grafy, matroidy, algoritmy, NITs “Regulyarnaya i khaoticheskaya dinamika”, Izhevsk, 2001, 288 pp.

[3] Glukhov M. M., Elizarov V. P., Nechaev A. A., Algebra, Gelios, M., 2003, 749 pp.

[4] Elizarov V. P., Konechnye koltsa, Gelios, M., 2006, 304 pp.

[5] Kozlitin O. A., “Polinomialnye preobrazovaniya GEO-koltsa prostoi kharakteristiki”, Diskretnaya matematika, 16:3 (2004), 105–117 | DOI | MR | Zbl

[6] Larin M. V., “Tranzitivnye polinomialnye preobrazovaniya kolets vychetov”, Diskretnaya matematika, 14:2 (2002), 20–32 | DOI | MR | Zbl

[7] Nechaev A. A., “Polinomialnye preobrazovaniya konechnykh kommutativnykh kolets glavnykh idealov”, Matematicheskie zametki, 27:6 (1980), 885–897 | MR | Zbl