4 problems

Finite-file PIR rate conjecture. Any such PIR scheme has rate at most

Symmetric PIR capacity conjecture. The capacity of SPIR is

Asymptotic PIR capacity conjecture. The asymptotic capacity as the number of files $m$ tends to infinity is

Let an $[n,k]$ MDS storage code store a database accessed by a Symmetric Private Information Retrieval scheme, with $t$-colluding servers, $b$ Byzantine servers, and $r$ unresponsi…