Generalized column weights and equivalences of convolutional codes
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Published:2023-11-10
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Volume:
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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:
Gorla Elisa1ORCID,
Salizzoni Flavio1ORCID
Affiliation:
1. Institut de Mathématiques, Université de Neuchâtel, Rue Emile-Argand 11, 2000 Neuchâtel, Switzerland
Abstract
We revisit the notion of [Formula: see text]th generalized column weights for the [Formula: see text]-truncation of a convolutional code. Taking the limit as [Formula: see text] tends to infinity, we define [Formula: see text]th generalized column weights of a convolutional code. We introduce suitable notions of [Formula: see text]-equivalence and equivalence, with respect to which generalized column weights are code invariants. We establish some properties of these invariants and compare them with other definitions of generalized distance and weight which appear in the literature.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory