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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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Authors and Affiliations

  1. Moscow, Russia

    S. A. Kuzmin

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  1. S. A. Kuzmin
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Correspondence to S. A. Kuzmin.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 1, pp. 223–230, 2015.

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Kuzmin, S.A. On Binary Digit-Position Sequences over Galois Rings, Admitting an Effect of Reduction of Period. J Math Sci 223, 642–647 (2017). https://doi.org/10.1007/s10958-017-3372-x

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  • DOI: https://doi.org/10.1007/s10958-017-3372-x

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