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Diskretnaya Matematika, 2020, Volume 32, Issue 4, Pages 120–136
DOI: https://doi.org/10.4213/dm1626 (Mi dm1626) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Formulas for the numbers of sequences containing a given pattern given number of times

A. A. Serov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (485 kB) Citations (11) English version article
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DOI: https://doi.org/10.4213/dm1626
Abstract: Explicit recurrent formulas for the numbers of sequences containing a given pattern given number of times are constructed. These formulas depend on the length of the sequence, the length of the pattern and its period only. By means of these results one may find the distribution of statistics of the NIST overlapping matching test for binary sequences and arbitrary pattern parameters.
Keywords: statistical tests, binary sequence, pattern (sequence segment), recurrence relations.
Received: 28.09.2020
English version:
Discrete Mathematics and Applications, 2022, Volume 32, Issue 4, Pages 233–245
DOI: https://doi.org/10.1515/dma-2022-0020
Bibliographic databases:
Document Type: Article
UDC: 519.115
Language: Russian
Citation: A. A. Serov, “Formulas for the numbers of sequences containing a given pattern given number of times”, Diskr. Mat., 32:4 (2020), 120–136; Discrete Math. Appl., 32:4 (2022), 233–245
Citation in format AMSBIB
\Bibitem{Ser20}
\by A.~A.~Serov
\paper Formulas for the numbers of sequences containing a given pattern given number of times
\jour Diskr. Mat.
\yr 2020
\vol 32
\issue 4
\pages 120--136
\mathnet{http://mi.mathnet.ru/dm1626}
\crossref{https://doi.org/10.4213/dm1626}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4184794}
\transl
\jour Discrete Math. Appl.
\yr 2022
\vol 32
\issue 4
\pages 233--245
\crossref{https://doi.org/10.1515/dma-2022-0020}
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  • https://www.mathnet.ru/eng/dm/v32/i4/p120
    • This publication is cited in the following 11 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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