(Computing functions of independent observations using Sample Clauses

(Computing functions of independent observations using a perfect SK). Suppose the ith party observes Ui, where the RVs U1, ..., Um are mutually independent. Furthermore, all parties share a κ-bit perfect SK K which is independent of UM. How many bits κ are required to (s, δ)-securely compute a function g (U1, ..., Um)? Note that the data observed by the ith party is given by Xi = (Ui,K). A simple calculation shows that for every partition π of M, βs ⎛⎝PXM , |π| PXπ
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