[图书][B] Concise encyclopedia of coding theory
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 …
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 …
maximal among all linear block codes of rate k/n. It is well known that MDS block codes do …
Strongly-MDS convolutional codes
H Gluesing-Luerssen, J Rosenthal… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
Maximum-distance separable (MDS) convolutional codes have the property that their free
distance is maximal among all codes of the same rate and the same degree. In this paper, a …
distance is maximal among all codes of the same rate and the same degree. In this paper, a …
On behaviors and convolutional codes
J Rosenthal, JM Schumacher… - IEEE Transactions on …, 1996 - ieeexplore.ieee.org
It is well known that a convolutional code is essentially a linear system defined over a finite
field. In this paper we elaborate on this connection. We define a convolutional code as the …
field. In this paper we elaborate on this connection. We define a convolutional code as the …
Quantum error correction
GG La Guardia - Quantum science and technology. Cham: Springer, 2020 - Springer
Theory of quantum information and computation has been extensively investigated in the
last two decades (see the textbook [121] by Nielsen and Chuang and the references [25, 53 …
last two decades (see the textbook [121] by Nielsen and Chuang and the references [25, 53 …
Connections between linear systems and convolutional codes
J Rosenthal - Codes, Systems, and Graphical Models, 2001 - Springer
The article reviews different definitions for a convolutional code which can be found in the
literature. The algebraic differences between the definitions are worked out in detail. It is …
literature. The algebraic differences between the definitions are worked out in detail. It is …
Decoding of convolutional codes over the erasure channel
V Tomás, J Rosenthal… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
In this paper the decoding capabilities of convolutional codes over the erasure channel are
studied. Of special interest will be maximum distance profile (MDP) convolutional codes …
studied. Of special interest will be maximum distance profile (MDP) convolutional codes …
Constructions of MDS-convolutional codes
R Smarandache, H Gluesing-Luerssen… - IEEE Transactions on …, 2001 - ieeexplore.ieee.org
Maximum-distance separable (MDS) convolutional codes are characterized through the
property that the free distance attains the generalized singleton bound. The existence of …
property that the free distance attains the generalized singleton bound. The existence of …
Convolutional codes with maximum distance profile
R Hutchinson, J Rosenthal, R Smarandache - Systems & Control Letters, 2005 - Elsevier
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 …
start at the same state and proceed to a different state will have the maximum possible …
On cyclic convolutional codes
H Gluesing-Luerssen, W Schmale - Acta Applicandae Mathematica, 2004 - Springer
We investigate the notion of cyclicity for convolutional codes as it has been introduced by
Piret and Roos. Codes of this type are described as submodules of F [z] n with some …
Piret and Roos. Codes of this type are described as submodules of F [z] n with some …