In this paper, we characterize four models of concatenation of a block code and a convolutional code from a linear systems theory viewpoint. We provide the input-state-output representation of these models and we give...
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In this paper, we characterize four models of concatenation of a block code and a convolutional code from a linear systems theory viewpoint. We provide the input-state-output representation of these models and we give conditions in order to get a non-catastrophic concatenated convolutional code with minimal representation. Lower bounds on the free distances of the concatenated codes are also developed. (c) 2007 Elsevier Inc. All rights reserved.
This article focuses on the characterization of two models of concatenated convolutional codes from the perspective of linear systems theory. We present an input-state-output representation of these models and study t...
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This article focuses on the characterization of two models of concatenated convolutional codes from the perspective of linear systems theory. We present an input-state-output representation of these models and study the conditions for obtaining a minimal input-state-output representation and non-catastrophic concatenated convolutional code. We also establish conditions so that the concatenated codes are observable and give a lower bound for their free distances. (c) 2007 Elsevier Inc. All rights reserved.
The aim of this work is to characterize two models of concatenated convolutional codes based on the theory of linear systems. The problem we consider can be viewed as the study of composite linear system from the clas...
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The aim of this work is to characterize two models of concatenated convolutional codes based on the theory of linear systems. The problem we consider can be viewed as the study of composite linear system from the classical control theory or as the interconnection from the behavioral system viewpoint. In this paper we provide an input-state-output representation of both models and introduce some conditions for such representations to be both controllable and observable. We also introduce a lower bound on their free distances and the column distances. (C) 2016 Elsevier B.V. All rights reserved.
In this work, we use some results introduced by Zaballa (2008) in order to determine the input-state-output representation of a convolutional code to construct a McEliece-like cryptosystem. We construct our cryptosyst...
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ISBN:
(纸本)9781905088416
In this work, we use some results introduced by Zaballa (2008) in order to determine the input-state-output representation of a convolutional code to construct a McEliece-like cryptosystem. We construct our cryptosystem so that any user can encrypt a message by introducing as many errors as possible.
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