A tighter lower bound on the circuit size of the hardest Boolean functions

Masaki Yamamoto · Electronic colloquium on computational complexity · 2011

In [IPL2005], Frandsen and Miltersen improved bounds on the circuit size L(n) of the hardest Boolean function on n input bits: for some constant c > 0: ( 1 + log n n − c n ) 2 n n ≤ L(n) ≤ ( 1 + 3 log n n + c n ) 2 n n .

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