Computer Science > Information Theory
[Submitted on 11 Sep 2020 (v1), last revised 12 Feb 2021 (this version, v3)]
Title:An Improved Multi-access Coded Caching with Uncoded Placement
View PDFAbstract:In this work, we consider a slight variant of well known coded caching problem, referred as multi-access coded caching problem, where each user has access to $z$ neighboring caches in a cyclic wrap-around way. We present a placement and delivery scheme for this problem, under the restriction of uncoded placement. Our work is a generalization of one of the cases considered in "Multi-access coded caching : gains beyond cache-redundancy" by B. Serbetci, E. Parrinello and P. Elia. To be precise, when our scheme is specialized to $z=\frac{K-1}{K \gamma }$, for any $K \gamma$, where $K$ is the number of users and $\gamma $ is the normalized cache size, we show that our result coincides with their result. We show that for the cases considered in this work, our scheme outperforms the scheme proposed in "Rate-memory trade-off for multi-access coded caching with uncoded placement" by K. S. Reddy and N. Karamchandani, except for some special cases considered in that paper. We also show that for $z= K-1$, our scheme achieves the optimal transmission rate.
Submission history
From: B.Sundar Rajan [view email][v1] Fri, 11 Sep 2020 12:13:06 UTC (521 KB)
[v2] Fri, 30 Oct 2020 06:31:37 UTC (383 KB)
[v3] Fri, 12 Feb 2021 17:03:47 UTC (402 KB)
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