A feasible PIR coding framework plus a layered query array achieves adaptive PIR with rate 1 - (K+X+T-1)/(N-S) simultaneously for all straggler counts S.
Symmetric private pol ynomial computation from lagrange encoding,
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A General Coding Framework for Adaptive Private Information Retrieval
A feasible PIR coding framework plus a layered query array achieves adaptive PIR with rate 1 - (K+X+T-1)/(N-S) simultaneously for all straggler counts S.