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<p>The weight distributions and weight hierarchies of linear codes are two very important research topics in coding theory and many applications. In this paper, by choosing suitable defining sets constructed from simplicial complexes, we present two classes of few-weight linear codes and exactly determine their weight distributions and weight hierarchies, respectively.</p>

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The weight distributions and weight hierarchies of two classes of few-weight linear codes

  • 期刊论文

  • 发表日期：

    2026年1月22日

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  • Yun Ding,
  • Shixin Zhu

摘要

The weight distributions and weight hierarchies of linear codes are two very important research topics in coding theory and many applications. In this paper, by choosing suitable defining sets constructed from simplicial complexes, we present two classes of few-weight linear codes and exactly determine their weight distributions and weight hierarchies, respectively.