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On the dual of quaternary Goethals codes and their weight hierarchies

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Abstract

Some properties such as type, trace description, symmetrized weight enumerator, and generalized Hamming weights of the dual of quaternary Goethals codes are discussed. Furthermore, the shortened codes of quaternary Goethals codes and their dual codes are proved to be cyclic.

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Author notes

  1. Cui Jie

    Present address: Department of Mathematics, Suzhou University, 215006, Suzhou, China

Authors and Affiliations

  1. Institute of Systems Science, Chinese Academy of Sciences, 100080, Beijing, China

    Cui Jie & Wan Zhexian

  2. Department of Mathematics, University of Science and Technology of China, 230026, Hefei, China

    Cui Jie

Authors
  1. Cui Jie
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  2. Wan Zhexian
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Correspondence to Cui Jie.

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Jie, C., Zhexian, W. On the dual of quaternary Goethals codes and their weight hierarchies. Sci. China Ser. A-Math. 45, 1361–1371 (2002). https://doi.org/10.1007/BF02880030

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  • DOI: https://doi.org/10.1007/BF02880030

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