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arXiv · 2001.03433

PIR Codes with Short Block Length

Sascha Kurz·Eitan Yaakobi
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Abstract

In this work private information retrieval (PIR) codes are studied. In a $k$-PIR code, $s$ information bits are encoded in such a way that every information bit has $k$ mutually disjoint recovery sets. The main problem under this paradigm is to minimize the number of encoded bits given the values of $s$ and $k$, where this value is denoted by $P(s,k)$. The main focus of this work is to analyze $P(s,k)$ for a large range of parameters of $s$ and $k$. In particular, we improve upon several of the existing results on this value.

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Sascha Kurz, Eitan Yaakobi. 2020-01-10. PIR Codes with Short Block Length. https://doi.org/10.1007/s10623-020-00828-6

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