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Linear symmetric private information retrieval for MDS coded distributed storage with colluding servers
KTH, School of Electrical Engineering and Computer Science (EECS), Information Science and Engineering.ORCID iD: 0000-0001-9471-1409
KTH, School of Electrical Engineering and Computer Science (EECS), Information Science and Engineering.ORCID iD: 0000-0002-7926-5081
2018 (English)In: 2017 IEEE Information Theory Workshop (ITW), Institute of Electrical and Electronics Engineers (IEEE), 2018, p. 71-75Conference paper, Published paper (Refereed)
Abstract [en]

The problem of symmetric private information retrieval (SPIR) from a coded database which is distributively stored among colluding servers is studied. Specifically, the database comprises K files, which are stored among N servers using an (N, M)-MDS storage code. A user wants to retrieve one file from the database by communicating with the N servers, without revealing the identity of the desired file to any server. Furthermore, the user shall learn nothing about the other K - 1 files in the database. In the T-colluding SPIR problem (hence called TSPIR), any T out of N servers may collude, that is, they may communicate their interactions with the user to guess the identity of the requested file. We show that for linear schemes, the information-theoretic capacity of the MDS-TSPIR problem, defined as the maximum number of information bits of the desired file retrieved per downloaded bit, equals 1 - M+T-1/N, if the servers share common randomness (unavailable at the user) with amount at least M+T-1/N-M-T+1 times the file size. Otherwise, the capacity equals zero.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 71-75
Series
EEE International Symposium on Information Theory - Proceedings
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-238280DOI: 10.1109/ITW.2017.8277997Scopus ID: 2-s2.0-85046363054ISBN: 9781509030972 (print)OAI: oai:DiVA.org:kth-238280DiVA, id: diva2:1264736
Conference
2017 IEEE Information Theory Workshop, ITW 2017, 6 November 2017 through 10 November 2017
Note

QC 20181121

Available from: 2018-11-21 Created: 2018-11-21 Last updated: 2019-08-30Bibliographically approved

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Wang, QiwenSkoglund, Mikael

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  • apa
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