# Creating a share of a random shared secret [duplicate]

I am interested to know if there is a solution to the following scenario: Assuming we have $n$ party members, is there a scheme that at the end of it, every party member $i$, holds a shamir's threshold share, $S_i$, of the secret $a$ where $k$ of $n$ can reconstruct $a$ using the shamir's threshold reconstruction and none of them individually knows the secret itself.