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On the relative generalized hamming weights of a 4-dimensional linear code and a subcode with dimension one

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Abstract

Finite projective geometry method is effectively used to study the relative generalized Hamming weights of 4-dimensional linear codes, which are divided into 9 classes in order to get much more information about the relative generalized Hamming weights, and part of the relative generalized Hamming weights of a 4-dimensional linear code with a 1-dimensional subcode are determined.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China

    Zihui Liu

  2. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Wende Chen

Authors
  1. Zihui Liu
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  2. Wende Chen
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Corresponding author

Correspondence to Zihui Liu.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant Nos. 11171366 and 61170257, and the Special Training Program of Beijing Institute of Technology.

This paper was recommended for publication by Editor Xiao-Shan GAO.

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Liu, Z., Chen, W. On the relative generalized hamming weights of a 4-dimensional linear code and a subcode with dimension one. J Syst Sci Complex 25, 821–832 (2012). https://doi.org/10.1007/s11424-012-0192-4

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  • DOI: https://doi.org/10.1007/s11424-012-0192-4

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