On the Fundamental Limit of Private Information Retrieval for Coded Distributed Storage
Abstract
We consider private information retrieval (PIR) for distributed storage systems (DSSs) with noncolluding nodes where data is stored using a non maximum distance separable (MDS) linear code. It was recently shown that if data is stored using a particular class of non-MDS linear codes, the MDS-PIR capacity, i.e., the maximum possible PIR rate for MDS-coded DSSs, can be achieved. For this class of codes, we prove that the PIR capacity is indeed equal to the MDS-PIR capacity, giving the first family of non-MDS codes for which the PIR capacity is known. For other codes, we provide asymmetric PIR protocols that achieve a strictly larger PIR rate compared to existing symmetric PIR protocols.
Keywords
Cite
@article{arxiv.1808.09018,
title = {On the Fundamental Limit of Private Information Retrieval for Coded Distributed Storage},
author = {Hsuan-Yin Lin and Siddhartha Kumar and Eirik Rosnes and Alexandre Graell i Amat},
journal= {arXiv preprint arXiv:1808.09018},
year = {2018}
}
Comments
This work is the extended version of the paper at arXiv:1806.01342v1 [cs.IT]. Conference version of this paper will be presented at 2018 IEEE Information Theory Workshop