English

Private Information Retrieval Schemes with Regenerating Codes

Information Theory 2018-12-07 v2 math.IT

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 nn 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.

Keywords

Cite

@article{arxiv.1811.02898,
  title  = {Private Information Retrieval Schemes with Regenerating Codes},
  author = {Julien Lavauzelle and Razane Tajeddine and Ragnar Freij-Hollanti and Camilla Hollanti},
  journal= {arXiv preprint arXiv:1811.02898},
  year   = {2018}
}
R2 v1 2026-06-23T05:07:41.780Z