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On computation of entropy of an ellipsoid in a Hamming space

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Abstract

Asymptotics of the entropy of an ellipsoid in a Hamming space of a growing dimension is investigated in the case where coefficients of the ellipsoid are monotone sequences of real numbers.

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References

  1. Pinsker, M.S., Entropy of an Ellipsoid in a Hamming Space, Probl. Peredachi Inf., 2000, vol. 36, no. 4, pp. 47–52 [Probl. Inf. Trans. (Engl. Transl.), 2000, vol. 36, no. 4, pp. 325–330].

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  2. Dumer, I.I., Pinsker, M.S., and Prelov, V.V., On the Thinnest Coverings of Spheres and Ellipsoids with Balls in Hamming and Euclidean Spaces, General Theory of Information Transfer and Combinatorics, Ahlswede, R., Bäumer, L., Cai, N., Aydinian, H.K., Blinovsky, V., Deppe, C., and Mashurian, H., Eds., Lect. Notes Comp. Sci., vol. 4123, Berlin: Springer, 2006, pp. 898–925.

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Authors and Affiliations

  1. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

    V. V. Prelov

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  1. V. V. Prelov
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Correspondence to V. V. Prelov.

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Original Russian Text © V.V. Prelov, 2013, published in Problemy Peredachi Informatsii, 2013, Vol. 49, No. 1, pp. 3–18.

Supported in part by the Russian Foundation for Basic Research, project no. 12-01-00905-a.

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Prelov, V.V. On computation of entropy of an ellipsoid in a Hamming space. Probl Inf Transm 49, 1–14 (2013). https://doi.org/10.1134/S0032946013010018

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  • DOI: https://doi.org/10.1134/S0032946013010018

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