Question: Let s be a secret that is an integer between 0 and q . Bob designed an (n,n) secret sharing scheme using the addition operation.

Let s be a secret that is an integer between 0 and q .

Bob designed an (n,n) secret sharing scheme using the addition operation. It works in the following way:

  • To share the secret, the dealer chooses n 1 uniformly random number between 0 to q , d1, ... , dn1. The dealer computes the last share dn = s + d1 + d2 + dn1. The dealer gives di to the ith party.
  • To reconstruct the secret, compute s' = dn d1 d2 -dn1.

True/False, this addition based (n,n)-secret sharing scheme is correct, i.e. the secret can always be recovered?

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