On Binary Digit-Position Sequences over Galois Rings, Admitting an Effect of Reduction of Period

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 where sequences of some fixed linear recurring sequence of...

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Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-06, Vol.223 (5), p.642-647
Main Author: Kuzmin, S. A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Reduction
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description 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 where 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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Mathematics and Statistics
Reduction
title On Binary Digit-Position Sequences over Galois Rings, Admitting an Effect of Reduction of Period
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