Achievable Rate of Private Function Retrieval from MDS Coded Databases

Document Type

Conference Proceeding

Publication Date

8-15-2018

Abstract

We study the problem of private function retrieval (PFR) in a distributed storage system. In PFR the user wishes to retrieve a linear combination of M messages stored in non-colluding (N, K) MDS coded databases while revealing no information about the coefficients of the intended linear combination to any of the individual databases. We present an achievable scheme for MDS coded PFR with a rate that matches the capacity for coded private information retrieval derived recently, R= (1+R-{c}+R-{c}^{2}+\cdots +R-{c}^{M-1})^{-1}=\frac{1-R-{c}}{1-R-{c}^{M}}, where R-{c}=\frac{K}{N} is the rate of the MDS code.

Identifier

85052465962 (Scopus)

ISBN

[9781538647806]

Publication Title

IEEE International Symposium on Information Theory Proceedings

External Full Text Location

https://doi.org/10.1109/ISIT.2018.8437655

ISSN

21578095

First Page

2117

Last Page

2121

Volume

2018-June

Grant

CNS-1526547

Fund Ref

Norsk Sykepleierforbund

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