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In distributed storage systems, locally repairable codes (LRCs) are introduced to realize low disk I/O and repair cost. In order to tolerate multiple node failures, the LRCs with (r, δ)-localitty are further proposed. Since hot data is not uncommon in a distributed storage system, both Zeh et al. and Kadhe et al. focus on the LRCs with multiple localities or unequal localities (ML-LRCs) recently,...
Recently linear codes with locality properties have attracted a lot of interest due to their desirable applications in distributed storage systems. An [n, k, d] linear code with (r, δ)-locality can enable the local recovery of a failed node in case of more than one node failures. In this paper, we study the theoretical bounds and constructions of linear codes with (r, δ)-locality for all code symbols...
In this paper, we study the maximum multicast set scheduling problem in a plane wireless network under the physical interference model. Specifically, from a given set of multicast transmissions, select a maximum set of multicast transmissions with largest sum of receivers, where each receiver of a multicast transmission is interference-free from other transmissions subject to the physical interference...
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