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Link and node failures are common two fundamental problems that affectoperational networks. Hence, protection of communication networks is essentialto increase their reliability, performance, and operations. Much research workhas been done to protect against link and node failures, and to providereliable solutions based on pre-defined provision or dynamic restoration of thedomain. In this paper we develop network protection strategies against multiplelink failures using network coding and joint capacities. In these strategies,the source nodes apply network coding for their transmitted data to providebackup copies for recovery at the receivers' nodes. Such techniques can beapplied to optical, IP, and mesh networks. The encoding operations ofprotection codes are defined over finite fields. Furthermore, the normalizedcapacity of the communication network is given by $(n-t)/n$ in case of $t$ linkfailures. In addition, a bound on the minimum required field size is derived.

Encoding of Network Protection Codes Against Link and Node Failures Over Finite Fields