On sub-packetization and access number of capacity-achieving PIR schemes for MDS coded non-colluding servers
文献类型：期刊论文
| 作者 | Xu, Jingke1,2; Zhang, Zhifang1,2
|
| 刊名 | SCIENCE CHINA-INFORMATION SCIENCES
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 61期号:10页码:16 |
| 关键词 | private information retrieval sub-packetization access number distributed storage MDS code |
| ISSN号 | 1674-733X |
| DOI | 10.1007/s11432-018-9538-4 |
| 英文摘要 | Consider the problem of private information retrieval (PIR) over a distributed storage system where M records are stored across N servers by using an [N, K] MDS code. For simplicity, this problem is 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 capacity characterizes the minimal download size for retrieving per unit of data, and sub-packetization and access number are two metrics closely related to implementation complexity. In this paper, we focus on minimizing the sub-packetization and the access number for linear capacity-achieving coded PIR schemes. We first determine the lower bounds on sub-packetization and access number, which are Kn(M-1) and MKn(M-1), respectively, in the nontrivial cases (i.e., N > K >= 1 and M >1), where n = N/gcd (N,K). We then design a general linear capacity-achieving coded PIR scheme to simultaneously attain these two bounds, implying tightness of both bounds. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000444841200001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31257]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhang, Zhifang |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Jingke,Zhang, Zhifang. On sub-packetization and access number of capacity-achieving PIR schemes for MDS coded non-colluding servers[J]. SCIENCE CHINA-INFORMATION SCIENCES,2018,61(10):16. |
| APA | Xu, Jingke,&Zhang, Zhifang.(2018).On sub-packetization and access number of capacity-achieving PIR schemes for MDS coded non-colluding servers.SCIENCE CHINA-INFORMATION SCIENCES,61(10),16. |
| MLA | Xu, Jingke,et al."On sub-packetization and access number of capacity-achieving PIR schemes for MDS coded non-colluding servers".SCIENCE CHINA-INFORMATION SCIENCES 61.10(2018):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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