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


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Abstract

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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S. A. Kuzmin

Aff1

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Email: kzmn_sr@mail.ru
Russian Federation, Moscow

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