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.Comment: 10 pages, 1 tabl

Kurz, Sascha