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Symmetric Block Designs and Optimal Equidistant Codes

  • Coding Theory
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Abstract

We prove that any symmetric block design (v, k, λ) generates optimal ternary and quaternary constant-weight equidistant codes, whose parameters n, N, w, d, q are uniquely determined by the parameters of the block design. For one rather special case, we construct symbolwise uniform equidistant codes of the minimum length.

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References

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Funding

Supported in part by the Russian Foundation for Basic Research, project no. 19-01-00364.

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Authors and Affiliations

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

    L. A. Bassalygo, V. A. Zinoviev & V. S. Lebedev

Authors
  1. L. A. Bassalygo
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  2. V. A. Zinoviev
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  3. V. S. Lebedev
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Bassalygo, L., Zinoviev, V. & Lebedev, V. Symmetric Block Designs and Optimal Equidistant Codes. Probl Inf Transm 56, 245–252 (2020). https://doi.org/10.1134/S0032946020030023

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  • DOI: https://doi.org/10.1134/S0032946020030023

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