A cross-subspace alignment scheme with layered interference cancellation achieves rate 1-(Kc+X+T+2B-1)/(N-U) for X-secure T-private retrieval from MDS-coded storage with U unresponsive and B Byzantine servers, improving prior achievable rates and conjectured asymptotically optimal.
Private information retrieval,
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$X$-secure $T$-private Information Retrieval from MDS Coded Storage with Byzantine and Unresponsive Servers
A cross-subspace alignment scheme with layered interference cancellation achieves rate 1-(Kc+X+T+2B-1)/(N-U) for X-secure T-private retrieval from MDS-coded storage with U unresponsive and B Byzantine servers, improving prior achievable rates and conjectured asymptotically optimal.