arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2212.12979cs.ITcs.CRcs.IRmath.IT
收藏

基于PDA的高速缓存辅助多用户私有信息检索

Cache-Aided Multi-User Private Information Retrieval using PDAs

Kanishak Vaidya, B Sundar Rajan

摘要:

研究了基于缓存的多用户私有信息检索(MuPIR)问题。在此问题中,$N$独立文件跨$S \geq 2$非串通服务器复制。有$K$用户,每个用户都配备有可以存储$M$文件的高速缓冲存储器。每个用户都想从服务器上检索一个文件,但用户不想让任何服务器获得有关其需求的任何信息。在用户决定他们的需求之前,用户缓存被填充了文件的一些任意函数,这被称为放置阶段。在决定他们的需求后,用户合作发送查询到服务器,以私下检索他们想要的文件。在接收到查询后,服务器广播编码传输,这是它们接收到的查询和文件的函数,称为交付阶段。将查询传送到服务器会导致用户的上传成本,并且下载由服务器广播的答案会导致下载成本。为了实现缓存辅助的MuPIR方案,每个文件必须被分割成$F$数据包。在本文中,我们提出了MuPIR计划,利用放置交付阵列(PDA)的特点放置和交付。建议MuPIR计划显着降低子分组化水平,同时略有增加下载成本。该方案还大大降低了用户的上传成本。对于基于{ \it Ali-Niesen}方案的集中式编码缓存的PDA,我们证明了我们的方案在下载成本方面是顺序最优的。我们恢复了{ \it Tian et al.}作为特例我们的方案也达到了最佳速率的单用户缓存辅助PIR设置报告R。唐登

英文摘要:

We consider the problem of cache-aided multi-user private information retrieval (MuPIR). In this problem, $N$ independent files are replicated across $S \geq 2$ non-colluding servers. There are $K$ users, each equipped with cache memory which can store $M$ files. Each user wants to retrieve a file from the servers, but the users don't want any of the servers to get any information about their demand. The user caches are filled with some arbitrary function of the files before the users decide their demands, known as the placement phase. After deciding their demands, users cooperatively send queries to the servers to retrieve their desired files privately. Upon receiving the queries, servers broadcast coded transmissions which are a function of the queries they received and the files, known as the delivery phase. Conveying queries to the servers incurs an upload cost for the users, and downloading the answers broadcasted by the servers incurs a download cost. To implement cache-aided MuPIR schemes, each file has to be split into $F$ packets. In this paper, we propose MuPIR schemes that utilize placement delivery arrays (PDAs) to characterize placement and delivery. Proposed MuPIR schemes significantly reduce subpacketization levels while slightly increasing the download cost. The proposed scheme also substantially reduces the upload cost for the users. For PDAs based on {\it Ali-Niesen} scheme for centralized coded caching, we show that our scheme is order optimal in terms of download cost. We recover the optimal single-user PIR scheme presented by {\it Tian et al.} as a special case. Our scheme also achieves optimal rate for single-user cache-aided PIR setup reported by R. Tondon.

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。

↑