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Maximum distance holey packings and related codes

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Abstract

The notion of a maximum distance holey packing is introduced and used to construct optimal ternary (n, 3, 3) codes for all lengthsn=2 (mod 3) andn≥8. Combining this with Etzion’s result, the existence problem for an optimal ternary (n,3,3) code is solved completely.

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Authors and Affiliations

  1. Department of Mathematics, Suzhou University, 215006, Suzhou, China

    Jianxing Yin

  2. Department of Mathematics, Suzhou Medical College, 215007, Suzhou, China

    Yucai Lu

  3. Department of Mathematics, Suzhou University, 215006, Suzhou, China

    Jianmin Wang

Authors
  1. Jianxing Yin
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  2. Yucai Lu
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  3. Jianmin Wang
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19671064).

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Yin, J., Lu, Y. & Wang, J. Maximum distance holey packings and related codes. Sci. China Ser. A-Math. 42, 1262–1269 (1999). https://doi.org/10.1007/BF02876026

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  • DOI: https://doi.org/10.1007/BF02876026

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