System-theoretic properties of convolutional codes over rings

DOI10.1109/18.945247zbMath1028.94033OpenAlexW2157505662MaRDI QIDQ4544669

Sandro Zampieri, Fabio Fagnani

Publication date: 4 August 2002

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bc40e05412dbea89a837c5ef954abab50ac6f999

zbMATH Keywords

polynomial matricesrational matricesencodersConvolutional codes over ringsdynamical systems over rings

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Convolutional codes (94B10)

Related Items (13)

On duals and parity-checks of convolutional codes over \(\mathbb{Z}_{p^r}\) ⋮ List decoding of convolutional codes over integer residue rings ⋮ The discrete multidimensional MPUM ⋮ State representations of convolutional codes over a finite ring ⋮ Finite multidimensional behaviors ⋮ Convolutional codes over finite chain rings, MDP codes and their characterization ⋮ Feedback equivalence of convolutional codes over finite rings ⋮ On MDS convolutional codes over \(\mathbb{Z}_{p^r}\) ⋮ Concatenated linear systems over rings and their application to construction of concatenated families of convolutional codes ⋮ On the Multiplicative Monoid ofn×nMatrices Over Artinian Chain Rings ⋮ On the structure of linear recurrent error-control codes ⋮ The predictable degree property and row reducedness for systems over a finite ring ⋮ Minimal and systematic convolutional codes over finite Abelian groups

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