On the existence of non-catastrophic \(p\)-encoders of \((2, 1)\) convolutional codes over \(\mathbb{Z}_{p^2}\)

DOI10.1142/s0219498825500690MaRDI QIDQ6580113

D. Napp Avelli, Conceição Rocha, Raquel Pinto

Publication date: 29 July 2024

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

zbMATH Keywords

convolutional codesfinite rings\(p\)-adic expansionnon-catastrophicity\(p\)-sequence\(p\)-encoders

Mathematics Subject Classification ID

Algebraic methods (93B25) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Arithmetic theory of polynomial rings over finite fields (11T55) Convolutional codes (94B10)

Cites Work

• Unnamed Item
• A characterization of von Neumann rings in terms of linear systems
• On MDR codes over a finite ring
• On MDS convolutional codes over \(\mathbb{Z}_{p^r}\)
• MDS and self-dual codes over rings
• Convolutional Goppa codes defined on fibrations
• The predictable degree property and row reducedness for systems over a finite ring
• Maximum distance separable convolutional codes
• On duals and parity-checks of convolutional codes over \(\mathbb{Z}_{p^r}\)
• Modular and \(p\)-adic cyclic codes
• An efficient algorithm for constructing minimal trellises for codes over finite abelian groups
• Minimal Trellis Construction for Finite Support Convolutional Ring Codes
• Quaternary Convolutional Codes From Linear Block Codes Over Galois Rings
• System-theoretic properties of convolutional codes over rings
• Column Distances of Convolutional Codes Over <inline-formula> <tex-math notation="LaTeX">${\mathbb Z}_{p^r}$ </tex-math> </inline-formula>
• On Minimality of Convolutional Ring Encoders
• MDS Convolutional Codes Over a Finite Ring
• Noncatastrophic convolutional codes over a finite ring

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