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Xu Jingke; Zhang Zhifang
Source Publicationsciencechinainformationscience
AbstractConsider the problem of private information retrieval (PR) over a distributed storage systemwhere M records are stored across N servers by using an N, K MDS code. For simplicity, this problemis usually referred as the coded PIR problem. In 2016, Banawan and Ulukus designed the first capacity-achieving coded PIR scheme with sub-packetization KNM and access number MKNM, where capacitycharacterizes the minimal download size for retrieving per unit of data, and sub-packetization and accessnumber are two metrics closely related to implementation complexity. In this paper, we focus on minimizingthe sub-packetization and the access number for linear capacity-achieving coded PIR schemes. We firstdetermine the lower bounds on sub-packetization and access number, which are KnM-1 and MKnM-l,respectively, in the nontrivial cases (i.e., N 〉 K ≥ 1 and M 〉 1), where n = N/gcd(N, K). We then designa general linear capacity-achieving coded PIR scheme to simultaneously attain these two bounds, implyingtightness of both bounds.
Document Type期刊论文
Recommended Citation
GB/T 7714
Xu Jingke,Zhang Zhifang. onsubpacketizationandaccessnumberofcapacityachievingpirschemesformdscodednoncolludingservers[J]. sciencechinainformationscience,2018,061(010):100306.
APA Xu Jingke,&Zhang Zhifang.(2018).onsubpacketizationandaccessnumberofcapacityachievingpirschemesformdscodednoncolludingservers.sciencechinainformationscience,061(010),100306.
MLA Xu Jingke,et al."onsubpacketizationandaccessnumberofcapacityachievingpirschemesformdscodednoncolludingservers".sciencechinainformationscience 061.010(2018):100306.
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