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A combinatorial problem in the class of binary vectors of given weight

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Cybernetics and Systems Analysis Aims and scope

Abstract

The notion of l-step is introduced in the class of binary vectors of given weight, which is a structural characteristic of a vector. Formulas for calculating the powers of sets of vectors of this class with certain structural properties related to the notion of l-step are derived.

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References

  1. V. I. Masol, “Asymptotic behavior of some statistics of (0,1) vector,” Teoriya Veroyatn. Mat. Statist., Issue 43, 83–90 (1990).

  2. W. Feller, An Introduction to Probability Theory and its Applications, Vol. 1, John Wiley, New York (1971).

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    A. A. Levitskaya

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  1. A. A. Levitskaya
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2012, pp. 72–75.

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Levitskaya, A.A. A combinatorial problem in the class of binary vectors of given weight. Cybern Syst Anal 48, 870–872 (2012). https://doi.org/10.1007/s10559-012-9466-z

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  • DOI: https://doi.org/10.1007/s10559-012-9466-z

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