Private Information Retrieval Schemes Using Cyclic Codes
Abstract
A Private Information Retrieval (PIR) scheme allows users to retrieve data from a database without disclosing to the server information about the identity of the data retrieved. A coded storage in a distributed storage system with colluding servers is considered in this work, namely the approach in [-private information retrieval schemes using transitive codes, IEEE Trans. Inform. Theory, vol. 65, no. 4, pp. 2107-2118, 2019] which considers a storage and retrieval code with a transitive group and provides binary PIR schemes with the highest possible rate. Reed-Muller codes were considered in [-private information retrieval schemes using transitive codes, IEEE Trans. Inform. Theory, vol. 65, no. 4, pp. 2107-2118, 2019]. In this work, we consider cyclic codes and we show that binary PIR schemes using cyclic codes provide a larger constellation of PIR parameters and they may outperform the ones coming from Reed-Muller codes in some cases.
Cite
@article{arxiv.2111.09060,
title = {Private Information Retrieval Schemes Using Cyclic Codes},
author = {Şeyma Bodur and Edgar Martínez-Moro and Diego Ruano},
journal= {arXiv preprint arXiv:2111.09060},
year = {2023}
}