PIR Codes with Short Block Length
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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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