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Fast enumeration algorithm for words with given constraints on run lengths of ones

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Abstract

We propose an algorithm for enumeration and denumeration of words with given constraints on run lengths of ones (dklr-sequences). For large n, operation time of the algorithm (per symbol of a sequence) is at most O(log3 n log log n), where n is the length of enumerated words, whereas for the best known methods it is at least cn, c > 0.

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Authors and Affiliations

  1. Siberian State University of Telecommunication and Information Science, Novosibirsk, Russia

    Yu. S. Medvedeva

  2. Siberian Branch of the Russian Academy of Sciences, Siberian State University of Telecommunication and Information Science Institute of Computational Technologies, Novosibirsk, Russia

    B. Ya. Ryabko

Authors
  1. Yu. S. Medvedeva
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  2. B. Ya. Ryabko
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Correspondence to Yu. S. Medvedeva.

Additional information

Original Russian Text © Yu.S. Medvedeva, B.Ya. Ryabko, 2010, published in Problemy Peredachi Informatsii, 2010, Vol. 46, No. 4, pp. 130–139.

Supported in part by the Russian Foundation for Basic Research, project no. 09-07-00005. Main results of the paper were announced in [1].

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Medvedeva, Y.S., Ryabko, B.Y. Fast enumeration algorithm for words with given constraints on run lengths of ones. Probl Inf Transm 46, 390–399 (2010). https://doi.org/10.1134/S0032946010040095

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  • DOI: https://doi.org/10.1134/S0032946010040095

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