[图书][B] Concise encyclopedia of coding theory

WC Huffman, JL Kim, P Solé - 2021 - api.taylorfrancis.com
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

Maximum distance separable convolutional codes

J Rosenthal, R Smarandache - Applicable Algebra in Engineering …, 1999 - Springer
A maximum distance separable (MDS) block code is a linear code whose distance is
maximal among all linear block codes of rate k/n. It is well known that MDS block codes do …

BCH convolutional codes

J Rosenthal, FV York - IEEE Transactions on Information …, 1999 - ieeexplore.ieee.org
BCH convolutional codes Page 1 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL.
45, NO. 6, SEPTEMBER 1999 1833 BCH Convolutional Codes Joachim Rosenthal, Senior …

Convolutional codes

J Lieb, R Pinto, J Rosenthal - Concise Encyclopedia of Coding …, 2021 - api.taylorfrancis.com
Convolutional codes were introduced by Peter Elias [674] in 1955. They can be seen as a
generalization of block codes. In order to motivate this generalization, consider ak× n …

A first approximation of concatenated convolutional codes from linear systems theory viewpoint

JJ Climent, V Herranz, C Perea - Linear Algebra and its Applications, 2007 - Elsevier
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 …

A class of one-dimensional MDS convolutional codes

H Gluesing-Luerssen, B Langfeld - Journal of Algebra and its …, 2006 - World Scientific
A class of one-dimensional convolutional codes will be presented. They are all MDS codes,
ie have the largest distance among all one-dimensional codes of the same length n and …

Constructions of MDS convolutional codes using superregular matrices

J Lieb, R Pinto - … of Algebra Combinatorics Discrete Structures and …, 2020 - dergipark.org.tr
Maximum distance separable convolutional codes are the codes that present best
performance in error correction among all convolutional codes with certain rate and degree …

Parallel concatenated convolutional codes from linear systems theory viewpoint

JJ Climent, V Herranz, C Perea - Systems & Control Letters, 2016 - Elsevier
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 …

Criteria for the construction of MDS convolutional codes with good column distances

Z Abreu, J Lieb, R Pinto, J Rosenthal - arXiv preprint arXiv:2305.04647, 2023 - arxiv.org
Maximum-distance separable (MDS) convolutional codes are characterized by the property
that their free distance reaches the generalized Singleton bound. In this paper, new criteria …

1/n Turbo codes from linear system point of view

V Herranz, D Napp, C Perea - Revista de la Real Academia de Ciencias …, 2020 - Springer
The performance of turbo codes at the error floor region is largely determined by the
effective free distance, which corresponds to the minimum Hamming weight among all …