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Diskretnaya Matematika, 2019, Volume 31, Issue 3, Pages 17–25
DOI: https://doi.org/10.4213/dm1569 (Mi dm1569) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Bounds on the discrepancy of linear recurring sequences over Galois rings

A. R. Vasin

LLC "Certification Research Center", Moscow
Full-text PDF (468 kB) Citations (3)
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DOI: https://doi.org/10.4213/dm1569
Abstract: We study the discrepancy of linear recurring sequences over Galois rings. By means of an estimate of an exponential sum some nontrivial bounds on the discrepancy are derived. It is shown that these bounds are asymptotically not worse than known estimates for maximal period linear recurring sequences over prime fields.
Keywords: linear recurring sequences, Galois ring, distribution of elements in a sequence, discrepancy, exponential sum.
Received: 19.03.2019
English version:
Discrete Mathematics and Applications, 2020, Volume 30, Issue 2, Pages 129–135
DOI: https://doi.org/10.1515/dma-2020-0012
Bibliographic databases:
Document Type: Article
UDC: 512.547+512.552
Language: Russian
Citation: A. R. Vasin, “Bounds on the discrepancy of linear recurring sequences over Galois rings”, Diskr. Mat., 31:3 (2019), 17–25; Discrete Math. Appl., 30:2 (2020), 129–135
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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