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  4. Single-server Multi-message Private Information Retrieval with Side Information: the General Cases
 
conference paper

Single-server Multi-message Private Information Retrieval with Side Information: the General Cases

Li, Su  
•
Gastpar, Michael C.  
2020
2020 IEEE International Symposium on Information Theory (ISIT)
International Symposium on Information Theory (ISIT)

The single-server multi-message private information retrieval with side information problem is studied for general cases. In this problem, K independent messages are stored at a single server. One user initially has M messages as side information and wants to download N demand messages while not leaking any information about the indices of demand messages to the server. In our previous work, we characterized the minimum number of required download bits and presented an achievability scheme for this problem with the constraint of linear codes. In this paper, we extend the results to general (non-linear) codes and present the closed-form expression for the minimum number of required download bits. Moreover, we show that linear coding schemes are sufficient to achieve the optimal (minimum) download bits. Additionally, we show that the trivial MDS coding scheme with K - M transmissions is optimal if N > M or N 2 +N ≥ K-M. This means if one wishes to privately download more than the square-root of the number of messages in the database, then one must effectively download the full database (minus the side information), irrespective of the amount of side information one has available.

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Type
conference paper
DOI
10.1109/ISIT44484.2020.9174126
Web of Science ID

WOS:000714963401027

Author(s)
Li, Su  
Gastpar, Michael C.  
Date Issued

2020

Publisher

IEEE

Publisher place

New York

Published in
2020 IEEE International Symposium on Information Theory (ISIT)
ISBN of the book

978-1-728164-33-5

Series title/Series vol.

IEEE International Symposium on Information Theory

Start page

1083

End page

1088

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LINX  
Event nameEvent placeEvent date
International Symposium on Information Theory (ISIT)

Virtual Conference. Los Angeles, CA, USA

June 21-26, 2020

Available on Infoscience
May 27, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/178388
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