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On Lower Bounds on the Spectrum of a Binary Code

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Abstract

We refine a lower bound on the spectrum of a binary code. We give a simple derivation of the known bound on the undetected error probability of a binary code.

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Acknowledgement

The author is grateful to a reviewer for constructive critical remarks, which improved the paper.

Funding

The research was supported in part by the Russian Foundation for Basic Research, project no. 19-01-00364.

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Correspondence to M. V. Burnashev.

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Russian Text © The Author(s), 2019, published in Problemy Peredachi Informatsii, 2019, Vol. 55, No. 4, pp. 76–85.

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Burnashev, M.V. On Lower Bounds on the Spectrum of a Binary Code. Probl Inf Transm 55, 366–375 (2019). https://doi.org/10.1134/S0032946019040033

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  • DOI: https://doi.org/10.1134/S0032946019040033

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