Geodesic
On a~sufficient condition for impossibility to reduce the period of the high order binary digit position sequences over primary rings
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 12-14

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Binary digit position sequences over primary rings of odd characteristics are studied. In the case, when not all possible elements appear in a periodic part of a given linear recurring sequence, a sufficient condition that there is no twofold reduction of the period in the high order binary digit position sequence is given.
Keywords: linear recurring sequences, periods of sequences, primary rings, digit position sequences. 
@article{PDMA_2016_9_a3,
     author = {S. A. Kuzmin},
     title = {On a~sufficient condition for impossibility to reduce the period of the high order binary digit position sequences over primary rings},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {12--14},
     publisher = {mathdoc},
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     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a3/}
}
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S. A. Kuzmin. On a~sufficient condition for impossibility to reduce the period of the high order binary digit position sequences over primary rings. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 12-14. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a3/