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I am reading the following paper: MPCircuits: Optimized Circuit Generation for Secure Multi-Party Computation https://eprint.iacr.org/2019/275.pdf I have following questions: 1. why Preference of group1 starts from L_0 where as preference list from group2 starts with L_(n/2+1)? 2. Any reason why they used the priority encoder? 3. What is the technique for the security of preference list? Somebody please guide me. Zulfi.