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Maddah-Ali and Niesen's original coded caching scheme for shared-linkbroadcast networks is now known to be optimal to within a factor two, and hasbeen applied to other types of networks. For practical reasons, this paperconsiders that a server communicates to cache-aided users through $H$intermediate relays. In particular, it focuses on combination networks whereeach of the $K = \binom{H}{r}$ users is connected to a distinct $r$-subsets ofrelays. By leveraging the symmetric topology of the network, this paperproposes a novel method to general multicast messages and to deliver them tothe users. By numerical evaluations, the proposed scheme is shown to reduce thedownload time compared to the schemes available in the literature. The idea isthen extended to decentralized combination networks, more general relaynetworks, and combination networks with cache-aided relays and users. Also inthese cases the proposed scheme outperforms known ones.

Caching in Combination Networks: Novel Multicast Message Generation and Delivery by Leveraging the Network Topology