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arXiv · 2111.09060

Private Information Retrieval Schemes Using Cyclic Codes

Şeyma Bodur·Edgar Martínez-Moro·Diego Ruano
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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 [$t$-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 [$t$-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.

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Şeyma Bodur, Edgar Martínez-Moro, Diego Ruano. 2021-11-17. Private Information Retrieval Schemes Using Cyclic Codes. https://doi.org/10.1007/978-3-031-22944-2_12

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