On binary digit-position sequences over Galois rings, admitting an effect of reduction of period
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 1, pp. 223-230

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A class of binary digit-position sequences, obtained from the linear recurring sequence of maximal period over Galois rings of odd characteristics and admitting an effect of twofold reduction of period, has been found. A condition was found when sequences of some fixed linear recurring sequence of maximal period over Galois fields with such property are exhausted only by that class.
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     author = {S. A. Kuzmin},
     title = {On binary digit-position sequences over {Galois} rings, admitting an effect of reduction of period},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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S. A. Kuzmin. On binary digit-position sequences over Galois rings, admitting an effect of reduction of period. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 1, pp. 223-230. http://geodesic.mathdoc.fr/item/FPM_2015_20_1_a11/