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 Diskr. Mat., 2008, Volume 20, Issue 4, Pages 102–112 (Mi dm1030)

Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a finite field

O. V. Kamlovskii

Abstract: We consider the problem of description of the frequency characteristics of some linear recurring sequences over a finite field. In a paper by R. McEliece, estimates of frequencies of occurrence of elements on the cycles of linear recurring sequences over a finite field with irreducible characteristic polynomial were obtained. The present paper is devoted to a generalisation of these estimates in the case of sequences of vectors with elements of several recurring sequences. The obtained results refine the known estimates of such frequencies.

DOI: https://doi.org/10.4213/dm1030

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English version:
Discrete Mathematics and Applications, 2008, 18:6, 595–605

Bibliographic databases:

UDC: 519.7

Citation: O. V. Kamlovskii, “Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a finite field”, Diskr. Mat., 20:4 (2008), 102–112; Discrete Math. Appl., 18:6 (2008), 595–605

Citation in format AMSBIB
\Bibitem{Kam08} \by O.~V.~Kamlovskii \paper Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a~finite field \jour Diskr. Mat. \yr 2008 \vol 20 \issue 4 \pages 102--112 \mathnet{http://mi.mathnet.ru/dm1030} \crossref{https://doi.org/10.4213/dm1030} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2500608} \zmath{https://zbmath.org/?q=an:05619006} \elib{http://elibrary.ru/item.asp?id=20730270} \transl \jour Discrete Math. Appl. \yr 2008 \vol 18 \issue 6 \pages 595--605 \crossref{https://doi.org/10.1515/DMA.2008.045} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-57349161296}