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The relative generalized Hamming weight of linear q-ary codes and their subcodes

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Abstract

In this article, some properties of the relative generalized Hamming weight (RGHW) of linear codes and their subcodes are developed with techniques in finite projective geometry. The relative generalized Hamming weights of almost all 4-dimensional q-ary linear codes and their subcodes are determined.

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References

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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, 100080, China

    Wende Chen

  3. Department of Computer Science, Shanghai Jiaotong University, Shanghai, 200051, China

    Yuan Luo

Authors
  1. Zihui Liu
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  2. Wende Chen
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  3. Yuan Luo
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Correspondence to Zihui Liu.

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Liu, Z., Chen, W. & Luo, Y. The relative generalized Hamming weight of linear q-ary codes and their subcodes. Des. Codes Cryptogr. 48, 111–123 (2008). https://doi.org/10.1007/s10623-008-9170-1

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  • DOI: https://doi.org/10.1007/s10623-008-9170-1

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