Efficient transformation capabilities of single database private block retrieval

Abstract Private information retrieval (PIR) is one of the promising techniques to preserve user privacy in presence trusted-but-curious servers. The theoretically private query construction assures highest over curious and unbounded computation Therefore, need for information-theoretic was fulfilled by various schemes a variety PIR settings. But, there lack efficient encryption switching scheme which supports between to/from computationally bounded PIRs. We propose combination new bit connection methods called rail-shape signal-shape quadratic residuosity assumption based family trapdoor functions generic single database block (PBR). main goal this work show that possibility mapping from theoretic or vice-versa setting using newly constructed function combinations. Notably, proposed are round, memoryless plain (at their basic constructions).