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Computer Science > Information Theory

arXiv:2305.04647 (cs)
[Submitted on 8 May 2023 (v1), last revised 25 May 2023 (this version, v2)]

Title:Criteria for the construction of MDS convolutional codes with good column distances

Authors:Zita Abreu, Julia Lieb, Raquel Pinto, Joachim Rosenthal
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Abstract:Maximum-distance separable (MDS) convolutional codes are characterized by the property that their free distance reaches the generalized Singleton bound. In this paper, new criteria to construct MDS convolutional codes are presented. Additionally, the obtained convolutional codes have optimal first (reverse) column distances and the criteria allow to relate the construction of MDS convolutional codes to the construction of reverse superregular Toeplitz matrices. Moreover, we present some construction examples for small code parameters over small finite fields.
Subjects: Information Theory (cs.IT)
Cite as: arXiv:2305.04647 [cs.IT]
  (or arXiv:2305.04647v2 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2305.04647

Submission history

From: Zita Abreu [view email]
[v1] Mon, 8 May 2023 12:01:59 UTC (20 KB)
[v2] Thu, 25 May 2023 09:57:38 UTC (19 KB)
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