On duals and parity-checks of convolutional codes over \(\mathbb{Z}_{p^r}\)

DOI10.1016/j.ffa.2018.08.012zbMath1404.94139OpenAlexW2891379374MaRDI QIDQ1633279

Marisa Toste, Raquel Pinto, Mohammed El Oued, D. Napp Avelli

Publication date: 19 December 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.08.012

zbMATH Keywords

finite ringsdual codesmatrix representationsconvolutional codes over finite rings

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Principal ideal rings (13F10) Convolutional codes (94B10)

Related Items (3)

List decoding of convolutional codes over integer residue rings ⋮ Systematic maximum sum rank codes ⋮ A matrix based list decoding algorithm for linear codes over integer residue rings

Cites Work

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• System-theoretic properties of convolutional codes over rings
• The Dual of Convolutional Codes Over $${\mathbb {Z}}_{p^r}$$
• Linear block codes over cyclic groups
• On Minimality of Convolutional Ring Encoders
• MDS Convolutional Codes Over a Finite Ring
• Correction to 'Convolution Codes I: Algebraic Structure'
• Structural analysis of convolutional codes via dual codes

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