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<p>We present the security properties of relative one-weight codes when applied to the wire-tap channel, and give the enumeration of equivalent classes of relative one-weight codes. Also, based on the security properties, we define and construct a new class of codes with similar applications as relative one-weight codes, and determine the key parameters of this new class of codes.</p>

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The enumeration and generalizations for relative one-weight codes

  • 期刊论文

  • 发表日期：

    2025年8月24日

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  • Tianrun Liu,
  • Zihui Liu

摘要

We present the security properties of relative one-weight codes when applied to the wire-tap channel, and give the enumeration of equivalent classes of relative one-weight codes. Also, based on the security properties, we define and construct a new class of codes with similar applications as relative one-weight codes, and determine the key parameters of this new class of codes.