[图书][B] Handbook of linear algebra
L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …
concepts, applications, and computational software packages in an easy-to-use handbook …
[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 …
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 …
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 …
A new class of superregular matrices and MDP convolutional codes
This paper deals with the problem of constructing superregular matrices that lead to MDP
convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices …
convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices …
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 …
[HTML][HTML] Superregular matrices and applications to convolutional codes
The main results of this paper are twofold: the first one is a matrix theoretical result. We say
that a matrix is superregular if all of its minors that are not trivially zero are nonzero. Given …
that a matrix is superregular if all of its minors that are not trivially zero are nonzero. Given …
Dynamic information and constraints in source and channel coding
E Martinian - 2006 - dspace.mit.edu
This thesis explore dynamics in source coding and channel coding. We begin by introducing
the idea of distortion side information, which does not directly depend on the source but …
the idea of distortion side information, which does not directly depend on the source but …
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 …