This article surveys all known fields of network coding theory and leads the reader through
the antecedents of the network coding theory to the most recent results, considering also …

The problem of error correction in both coherent and noncoherent network coding is
considered under an adversarial model. For coherent network coding, where knowledge of …

In this work, we extend the notion of generalized Hamming weight for classical linear block
codes to linear network codes by introducing the network generalized Hamming weight …

Coherent network error correction is the error-control problem in network coding with the
knowledge of the network codes at the source and sink nodes. With respect to a given set of …

We consider the problem of error control in a coded, multicast network, focusing on the
scenario where the errors can occur only on a proper subset of the network edges. We …

Network error correction coding (NEC) has attracted a lot of attention in recent years
because of its potential usefulness in network communications. Several kinds of errors may …

The traditional way of operating communication networks is to treat data as a commodity.
Packets originating at a source node are routed through the network until they reach a …

This paper studies the capacity of single-source single-sink noiseless networks under
adversarial or arbitrary errors on no more than z edges. Unlike prior papers, which assume …

A combinatorial framework for adversarial network coding is presented. Channels are
described by specifying the possible actions that one or more (possibly coordinated) …

We investigate transmission of information in a network in the presence of an adversary that
can eavesdrop k channels and inject d errors into the network at the same time. We propose …