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Investigation of binary orthogonal arrays via their distance distributions

  • Coding Theory
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Abstract

We show how one can use polynomial techniques to compute all possible distance distributions of binary orthogonal arrays (OAs) of relatively small lengths and strengths. Then we exploit certain connections between OAs and their derived OAs. Having all distance distributions of OAs under consideration, we are able to test them aimed at classification results.

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References

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    P. Boyvalenkov

  2. Faculty of Mathematics and Natural Sciences, South-Western University, Blagoevgrad, Bulgaria

    P. Boyvalenkov

  3. Faculty of Mathematics and Informatics, Plovdiv University, Plovdiv, Bulgaria

    H. Kulina

Authors
  1. P. Boyvalenkov
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  2. H. Kulina
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Corresponding author

Correspondence to P. Boyvalenkov.

Additional information

Dedicated to Stefan Dodunekov (September 5, 1945–August 5, 2012)

Original Russian Text © P. Boyvalenkov, H. Kulina, 2013, published in Problemy Peredachi Informatsii, 2013, Vol. 49, No. 4, pp. 28–40.

Supported by the Bulgarian NSF, contract no. I01/0003.

Supported in part by the NPD, Plovdiv University, project no. NI13 FMI02.

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Boyvalenkov, P., Kulina, H. Investigation of binary orthogonal arrays via their distance distributions. Probl Inf Transm 49, 322–332 (2013). https://doi.org/10.1134/S0032946013040030

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  • DOI: https://doi.org/10.1134/S0032946013040030

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