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Diskretnaya Matematika, 2019, Volume 31, Issue 2, Pages 57–68
DOI: https://doi.org/10.4213/dm1568 (Mi dm1568) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings

A. R. Vasin

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Full-text PDF (492 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1568
Abstract: We study the frequencies of tuples in linear recurring sequences (LRS) of vectors over Galois rings. By means of an estimate of an exponential sum some nontrivial bounds on the frequencies of elements in LRS are derived. It is shown that these bounds are in some cases sharper than known results.
Keywords: linear recurring sequences, Galois ring, distribution of elements in a sequence, exponential sums.
Received: 28.03.2019
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 5, Pages 335–343
DOI: https://doi.org/10.1515/dma-2019-0031
Bibliographic databases:
Document Type: Article
UDC: 512.547+512.552
Language: Russian
Citation: A. R. Vasin, “Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings”, Diskr. Mat., 31:2 (2019), 57–68; Discrete Math. Appl., 29:5 (2019), 335–343
Citation in format AMSBIB
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  • https://doi.org/10.4213/dm1568
  • https://www.mathnet.ru/eng/dm/v31/i2/p57
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    References:38
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