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 (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 …

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 …

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 …

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 …

This paper revisits strongly-MDS convolutional codes with maximum distance profile (MDP).
These are (non-binary) convolutional codes that have an optimum sequence of column …

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 …

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 …

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 …

New families of classical and quantum optimal negacyclic convolutional codes are
constructed in this paper. This optimality is in the sense that they attain the classical …