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[ΒΙΒΛΙΟ][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 …
[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 …
Concatenation of convolutional codes and rank metric codes for multi-shot network coding
In this paper we present a novel coding approach to deal with the transmission of
information over a network. In particular we make use of the network several times (multi …
information over a network. In particular we make use of the network several times (multi …
Convolutional codes
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 …
generalization of block codes. In order to motivate this generalization, consider ak× n …
An explicit construction of optimal streaming codes for channels with burst and arbitrary erasures
This paper presents a new construction of error correcting codes which achieves optimal
recovery of a streaming source over a packet erasure channel. The channel model …
recovery of a streaming source over a packet erasure channel. The channel model …
Weighted reed–solomon convolutional codes
In this paper we present a concrete algebraic construction of a novel class of convolutional
codes. These codes are built upon generalized Vandermonde matrices and therefore can …
codes. These codes are built upon generalized Vandermonde matrices and therefore can …
Complete MDP convolutional codes
J Lieb - Journal of Algebra and Its Applications, 2019 - World Scientific
Maximum distance profile (MDP) convolutional codes have the property that their column
distances are as large as possible. It has been shown that, transmitting over an erasure …
distances are as large as possible. It has been shown that, transmitting over an erasure …
[HTML][HTML] Systematic maximum sum rank codes
In the last decade there has been a great interest in extending results for codes equipped
with the Hamming metric to analogous results for codes endowed with the rank metric. This …
with the Hamming metric to analogous results for codes endowed with the rank metric. This …
Complete j-MDP Convolutional Codes
Maximum distance profile (MDP) convolutional codes have been proven to be very suitable
for transmission over an erasure channel. In addition, the subclass of complete MDP …
for transmission over an erasure channel. In addition, the subclass of complete MDP …
On MDS convolutional codes over
Maximum distance separable (MDS) convolutional codes are characterized through the
property that the free distance meets the generalized Singleton bound. The existence of free …
property that the free distance meets the generalized Singleton bound. The existence of free …