The Construction S is the secret chosen in the finite field GF(q) by the Dealer(Dl) When Dl wants share S among participants in P,Dl gives a k- dimensional vector d i ≡ (d i,0, d i,1,…,d i,k-1 ),k ≦ n over GF(q) as a share to participant P i,for i=1,…,n.
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