Existence of asymptotically better solutions than the semicircle law for worst-case OPI over prime fields when n/m exceeds thresholds like 0.6225 for rho approximately 1/2, via connection to local leakage resilience of secret sharing.
Two theorems on list decoding
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On Worst-Case Optimal Polynomial Intersection
Existence of asymptotically better solutions than the semicircle law for worst-case OPI over prime fields when n/m exceeds thresholds like 0.6225 for rho approximately 1/2, via connection to local leakage resilience of secret sharing.