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Convolutional codes with maximum distance profile


Hutchinson, R; Rosenthal, J; Smarandache, R (2005). Convolutional codes with maximum distance profile. Systems & Control Letters, 54(1):53-63.

Abstract

Maximum distance profile codes are characterized by the property that two trajectories which start at the same state and proceed to a different state will have the maximum possible minimum distance from each other relative to any other convolutional code of the same rate and degree.
In this paper we use methods from systems theory to characterize maximum distance profile codes algebraically. The main result shows that maximum distance profile codes form a generic set inside the variety which parametrizes the set of convolutional codes of a fixed rate and a fixed degree.

Abstract

Maximum distance profile codes are characterized by the property that two trajectories which start at the same state and proceed to a different state will have the maximum possible minimum distance from each other relative to any other convolutional code of the same rate and degree.
In this paper we use methods from systems theory to characterize maximum distance profile codes algebraically. The main result shows that maximum distance profile codes form a generic set inside the variety which parametrizes the set of convolutional codes of a fixed rate and a fixed degree.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:MDS codes, Convolutional codes, Column distances, Feedback decoding, Superregular matrices
Language:English
Date:2005
Deposited On:03 Mar 2010 11:07
Last Modified:19 Feb 2018 19:59
Publisher:Elsevier
ISSN:0167-6911
OA Status:Green
Publisher DOI:https://doi.org/10.1016/j.sysconle.2004.06.005

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