On the left primeness of some polynomial matrices with applications to convolutional codes

DOI10.1142/S0219498821502078zbMath1478.94134arXiv2003.07322OpenAlexW3058759651MaRDI QIDQ5163441

Julia Lieb, Gianira N. Alfarano

Publication date: 4 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07322

zbMATH Keywords

polynomial matricesleft prime matricesMDP convolutional codesnoncatastrophic convolutional codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Convolutional codes (94B10) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Weighted Reed–Solomon convolutional codes ⋮ Noncatastrophic convolutional codes over a finite ring

Cites Work

• Constructing strongly-MDS convolutional codes with maximum distance profile
• Maximum distance separable convolutional codes
• A new class of superregular matrices and MDP convolutional codes
• Strongly-MDS convolutional codes
• Decoding of Convolutional Codes Over the Erasure Channel
• Complete MDP convolutional codes
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