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In this paper we find one type of finitely generated minimal linear code over the ring \(\mathbb {Z}_{2n}\) . We show that if the components of the vectors belongs to the ideal \(&lt;n&gt;\) then with a given conditions the module generated by these vectors must be minimal linear code.</n>

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One Type of Finitely Generated Minimal Linear Code Over the Ring \(\textbf{Z}_{2n}\)

  • 会议论文

  • 发表日期：

    2025年

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  • Biplab Chatterjee,
  • Ratnesh Kumar Mishra

摘要

In this paper we find one type of finitely generated minimal linear code over the ring \(\mathbb {Z}_{2n}\) . We show that if the components of the vectors belongs to the ideal \(<n>\) then with a given conditions the module generated by these vectors must be minimal linear code.