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Prikladnaya Diskretnaya Matematika, 2013, Number 3(21), Pages 11–25 (Mi pdm419)  

This article is cited in 12 scientific papers (total in 12 papers)

Theoretical Foundations of Applied Discrete Mathematics

Distribution properties of sequences produced by filtering generators

O. V. Kamlovskii

LLC "Certification Research Center", Moscow, Russia
References:
Abstract: The distributions of rr-tuples in output sequences of filtering generators over finite fields are considered. Bounds for the number of a given r-tuple occurrences are proved. Also, bounds for cross-correlation coefficients are established, and conditions for stated sequences to be different are got.
Keywords: filter generators, finite fields, linear recurring sequences, additive character sums.
Document Type: Article
UDC: 519.4
Language: Russian
Citation: O. V. Kamlovskii, “Distribution properties of sequences produced by filtering generators”, Prikl. Diskr. Mat., 2013, no. 3(21), 11–25
Citation in format AMSBIB
\Bibitem{Kam13}
\by O.~V.~Kamlovskii
\paper Distribution properties of sequences produced by filtering generators
\jour Prikl. Diskr. Mat.
\yr 2013
\issue 3(21)
\pages 11--25
\mathnet{http://mi.mathnet.ru/pdm419}
Linking options:
  • https://www.mathnet.ru/eng/pdm419
  • https://www.mathnet.ru/eng/pdm/y2013/i3/p11
  • This publication is cited in the following 12 articles:
    1. A. D. Bugrov, O. V. Kamlovskii, V. V. Mizerov, “Svoistva posledovatelnostei, vyrabatyvaemykh algoritmom potochnogo shifrovaniya GEA-1”, PDM. Prilozhenie, 2024, no. 17, 75–78  mathnet  crossref
    2. O. V. Kamlovskii, V. V. Mizerov, “Raspredelenie elementov v posledovatelnostyakh, vyrabatyvaemykh algoritmom potochnogo shifrovaniya GEA-1”, Matem. vopr. kriptogr., 15:3 (2024), 67–82  mathnet  crossref
    3. A. A. Gruba, “Svoistva eksponentsialnykh preobrazovanii konechnykh polei”, PDM, 2023, no. 60, 13–29  mathnet  crossref
    4. A. S. Tissin, “Chislo poyavlenii elementov iz zadannogo podmnozhestva na otrezkakh uslozhnenii lineinykh rekurrentnykh posledovatelnostei”, PDM, 2023, no. 60, 30–39  mathnet  crossref
    5. N. M. Mezhennaya, V. G. Mikhailov, “Ob asimptoticheskoi normalnosti chastot znakov v multitsiklicheskoi posledovatelnosti”, PDM, 2020, no. 48, 5–15  mathnet  crossref  mathscinet
    6. O. V. Kamlovskii, V. V. Mizerov, “Svoistva posledovatelnostei, vyrabatyvaemykh kombiniruyuschimi generatorami nad konechnymi polyami”, Matem. vopr. kriptogr., 11:4 (2020), 23–47  mathnet  crossref
    7. Aulet R. Rodriguez, “Some properties of the output sequences of combined generator over finite fields”, PDM. Prilozhenie, 2019, no. 12, 151–154  mathnet  crossref  elib
    8. O. V. Kamlovskii, “Summy modulei koeffitsientov Uolsha–Adamara nekotorykh sbalansirovannykh bulevykh funktsii”, Matem. vopr. kriptogr., 8:4 (2017), 75–98  mathnet  crossref  mathscinet  elib
    9. O. V. Kamlovskii, “Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method”, Discrete Math. Appl., 27:4 (2017), 199–211  mathnet  crossref  crossref  mathscinet  isi  elib
    10. O. V. Kamlovskii, “Rasstoyanie mezhdu dvoichnymi predstavleniyami lineinykh rekurrent nad polem GF(2k) i koltsom Z2n”, Matem. vopr. kriptogr., 7:1 (2016), 71–82  mathnet  crossref  mathscinet  elib
    11. A. D. Bugrov, “The cross-correlation function of complications of linear recurrent sequences”, Discrete Math. Appl., 28:2 (2018), 65–73  mathnet  crossref  crossref  mathscinet  isi  elib
    12. R. A. De La Krus Khimenes, O. V. Kamlovskii, “The sum of modules of Walsh coefficients of Boolean functions”, Discrete Math. Appl., 26:5 (2016), 259–272  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Прикладная дискретная математика
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