Abstract:
The number of different r-patterns on the period and on the path of period of linear recurrent sequences over Galois rings is discussed. These results are of interest for the linear recurrent sequences over residue rings of primary order.
Key words:
Galois rings, linear recurrent sequences, distribution of elements of sequences.
Received 20.IV.2012
Document Type:
Article
UDC:511.216+519.113.6
Language: Russian
Citation:
O. V. Kamlovskii, “The number of different r-patterns in linear recurrent sequences over Galois rings”, Mat. Vopr. Kriptogr., 4:3 (2013), 49–82
\Bibitem{Kam13}
\by O.~V.~Kamlovskii
\paper The number of different $r$-patterns in linear recurrent sequences over Galois rings
\jour Mat. Vopr. Kriptogr.
\yr 2013
\vol 4
\issue 3
\pages 49--82
\mathnet{http://mi.mathnet.ru/mvk92}
\crossref{https://doi.org/10.4213/mvk92}
Linking options:
https://www.mathnet.ru/eng/mvk92
https://doi.org/10.4213/mvk92
https://www.mathnet.ru/eng/mvk/v4/i3/p49
This publication is cited in the following 1 articles:
O. A. Kozlitin, “Ispolzovanie $2$-lineinogo registra sdviga dlya vyrabotki psevdosluchainykh posledovatelnostei”, Matem. vopr. kriptogr., 5:1 (2014), 39–72