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 , d 1 , , d n1 The dealer computes the last share d n s d 1 d 2 d n1 The dealer gives d i to the ith party To reconstruct the secret, compute s' d n d 1 d 2 d n1 True False, this addition based secret sharing scheme is perfectly secure, i e no information is leaked about the secret from any proper subset of the shares

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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, ... , d_n1. The dealer computes the last share d_n = s + d₁ + d₂ + d_n1. The dealer gives d_i to the ith party.
To reconstruct the secret, compute s' = d_n d₁ d₂ -d_n1.

True/False, this addition based secret sharing scheme is perfectly secure, i.e. no information is leaked about the secret from any proper subset of the shares?

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