The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

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 …

We develop a graph-theoretic characterization of controllability and observability of linear
systems over finite fields. Specifically, we show that a linear system will be structurally …

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 …

Maximum-distance separable (MDS) convolutional codes are characterized through the
property that the free distance attains the generalized singleton bound. The existence of …

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 …

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 …

The state‐space realization of linear systems is of utmost importance in linear systems
theory. After the realization problem for the time‐invariant case was solved, particular …

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 …