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In this paper we determine the delivery time for a multi-server coded cachingproblem when the cache size of each user is small. We propose an achievablescheme based on coded cache content placement, and employ zero-forcingtechniques at the content delivery phase. Surprisingly, in contrast to previousmulti-server results which were proved to be order-optimal within amultiplicative factor of 2, for the low memory regime we prove that ourachievable scheme is optimal. Moreover, we compare the performance of ourscheme with the uncoded solution, and show our proposal improvement over theuncoded scheme. Our results also apply to Degrees-of-Freedom (DoF) analysis ofMultiple-Input Single-Output Broadcast Channels (MISO-BC) with cache-enabledusers, where the multiple-antenna transmitter replaces the role of multipleservers. This shows that interference management in the low memory regime needsdifferent caching techniques compared with medium-high memory regimes discussedin previous works.

On Multi-Server Coded Caching in the Low Memory Regime