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Plotkin bound generalization to the case of multiple packings

  • Information Theory
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Abstract

We obtain an upper bound on the cardinality of a multiple packing in the case of a large decoding radius.

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References

  1. Blinovsky, V.M., Bounds for Codes in the Case of Finite-Volume List Decoding, Probl. Peredachi Inf., 1986, vol. 22, no. 1, pp. 11–25 [Probl. Inf. Trans. (Engl. Transl.), 1986, vol. 22, no. 1, pp. 7–19].

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  2. Blinovsky, V., Asymptotic Combinatorial Coding Theory, Boston: Kluwer, 1997.

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  3. Blinovsky, V.M., Code Bounds for Multiple Packings over a Nonbinary Finite Alphabet, Probl. Peredachi Inf., 2005, vol. 41, no. 1, pp. 28–38 [Probl. Inf. Trans. (Engl. Transl.), 2005, vol. 41, no. 1, pp. 23–32].

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Authors and Affiliations

  1. Kharkevich Institute for Information Transmission Problems, RAS, Moscow, Russia

    V. M. Blinovsky

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  1. V. M. Blinovsky
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Correspondence to V. M. Blinovsky.

Additional information

Original Russian Text © V.M. Blinovsky, 2009, published in Problemy Peredachi Informatsii, 2009, Vol. 45, No. 1, pp. 3–7.

Supported in part by the Russian Foundation for Basic Research, project no. 06-01-00226.

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Blinovsky, V.M. Plotkin bound generalization to the case of multiple packings. Probl Inf Transm 45, 1–4 (2009). https://doi.org/10.1134/S0032946009010013

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  • DOI: https://doi.org/10.1134/S0032946009010013

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