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arXiv · 1811.02898

Private Information Retrieval Schemes with Regenerating Codes

Julien Lavauzelle·Razane Tajeddine·Ragnar Freij-Hollanti·Camilla Hollanti
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Abstract

A private information retrieval (PIR) scheme allows a user to retrieve a file from a database without revealing any information on the file being requested. As of now, PIR schemes have been proposed for several kinds of storage systems, including replicated and MDS-coded data. In this paper, the problem of constructing a PIR scheme on regenerating codes is considered. A regenerating code is a storage code whose codewords are distributed among $n$ nodes, enabling efficient storage of files, as well as low-bandwidth retrieval of files and repair of nodes. In this work, a PIR scheme on regenerating codes is constructed, using the product-matrix (PM) framework of Rashmi, Shah and Kumar. Both the minimum-bandwidth (MBR) and minimum-storage (MSR) settings are considered, and the structure given by the PM framework is used in order to reduce the download communication complexity of our schemes.

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Julien Lavauzelle, Razane Tajeddine, Ragnar Freij-Hollanti, Camilla Hollanti. 2018-11-07. Private Information Retrieval Schemes with Regenerating Codes. https://arxiv.org/abs/1811.02898

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