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arXiv 2201.09127cs.ITmath.IT
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一种改进的多址编码缓存下界

An Improved Lower Bound for Multi-Access Coded Caching

K. K. Krishnan Namboodiri, B. Sundar Rajan

摘要:

被认为是与$N$文件,$K$用户和$K$高速缓存,其中每个用户都可以访问$L$相邻的高速缓存的方式,编码的高速缓存问题的多访问变体。基于割集的最优速率-存储器权衡的多访问编码缓存(MACC)计划的下限。此外,一个改进的下界上的最佳速率存储器权衡的MACC计划推导出使用非割集参数。改进的下界比以前已知的相同设置的下界更紧。

英文摘要:

The multi-access variant of the coded caching problem with $N$ files, $K$ users and $K$ caches, where each user has access to $L$ neighbouring caches in a cyclic wrap-around manner, is considered. A cut-set based lower bound on the optimal rate-memory trade-off of the multi-access coded caching (MACC) scheme is derived. Furthermore, an improved lower bound on the optimal rate-memory trade-off of the MACC scheme is derived using non-cut-set arguments. The improved lower bound is tighter than the previously known lower bounds for the same setting.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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