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Matematicheskie Zametki, 2012, Volume 91, Issue 3, Pages 371–382
DOI: https://doi.org/10.4213/mzm7836 (Mi mzm7836) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Sidelnikov Method for Estimating the Number of Signs on Segments of Linear Recurrence Sequences over Galois Rings

O. V. Kamlovskii
Full-text PDF (491 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm7836
Abstract: Using the method of trigonometric sums, Sidelnikov obtained estimates of the frequencies of occurrence of elements on segments of linear recurrence sequences over finite fields. These results are generalized to the case of Galois rings. It is shown that, in some cases, the estimates obtained in this paper are sharper than previously known ones.
Keywords: linear recurrence sequence, Galois ring, Galois polynomial, method of trigonometric sums, irreducible polynomial.
Received: 03.03.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 354–363
DOI: https://doi.org/10.1134/S0001434612030054
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: O. V. Kamlovskii, “The Sidelnikov Method for Estimating the Number of Signs on Segments of Linear Recurrence Sequences over Galois Rings”, Mat. Zametki, 91:3 (2012), 371–382; Math. Notes, 91:3 (2012), 354–363
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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