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 …

Codes in the sum-rank metric have attracted significant attention for their applications in
distributed storage systems, multishot network coding, streaming over erasure channels …

Multishot network coding is considered in a worst-case adversarial setting in which an
omniscient adversary with unbounded computational resources may inject erroneous …

Network coding was introduced by Ahlswede et al. in a pioneering work in 2000. This
paradigm encompasses coding and retransmission of messages at the intermediate nodes …

We consider the following robust computing problem in a directed acyclic network. A sink
node is required to compute with zero error a target function of source messages which are …

Recently, network error correction coding (NEC) has been studied extensively. Several
bounds in classical coding theory have been extended to NEC, especially the Singleton …

In this paper, we put forward the model of multiple linear-combination security multicast
network coding, where the wiretapper desires to obtain some information about a predefined …

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 …

We consider linear network error correction (LNEC) coding when errors may occur on the
edges of a communication network of which the topology is known. In this paper, we first …

In highly dynamic wireless networks, communications face several challenges. In the first
place, noise levels between nodes might be difficult to predict a priori. Besides, a Byzantine …