A new construction of an MDS convolutional code of rate 1/2
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Published:2023-06-27
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Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Abreu Zita1,
Pinto Raquel1,
Simões Rita1
Affiliation:
1. CIDMA – Center for Research and Development in Mathematics, and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal
Abstract
Maximum distance separable convolutional codes are characterized by the property that the free distance reaches the generalized Singleton bound, which makes them optimal for error correction. However, the existing constructions of such codes are available over fields of large size. In this paper, we present the unique construction of MDS convolutional codes of rate [Formula: see text] and degree [Formula: see text] over the field [Formula: see text].
Funder
Portuguese Foundation for Science and Technology
FCT
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory