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As maximum distance separable convolutional codes are known for their ability to achieve the generalized Singleton bound, they are highly suitable for correcting errors. Nevertheless, until now, these codes have primarily been constructed over fields of large size. This paper introduces a distinctive approach for constructing non-catastrophic MDS convolutional codes with rate 1/2 and degree 5 over the fields \(\mathbb {F}_{11}\) and \(\mathbb {F}_{13}\) .

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Constructions of Non-catastrophic MDS Convolutional Codes of Rate 1/2

  • 会议论文

  • 发表日期：

    2025年

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  • Zita Abreu,
  • Raquel Pinto,
  • Rita Simões

摘要

As maximum distance separable convolutional codes are known for their ability to achieve the generalized Singleton bound, they are highly suitable for correcting errors. Nevertheless, until now, these codes have primarily been constructed over fields of large size. This paper introduces a distinctive approach for constructing non-catastrophic MDS convolutional codes with rate 1/2 and degree 5 over the fields \(\mathbb {F}_{11}\) and \(\mathbb {F}_{13}\) .