Consider a Shamir (7, 4)-threshold scheme in GF (23), where the participants 1,3,4, and 6 pool their shares (1,13), (3, 19), (4, 19), and (6, 6) to retrieve the secret S. What will this secret be? Suppose that participant 5 shows his share (5, 3). Why is one of these five people lying? Let all also participants 1 and 8 contribute there share: (2, 4) and (8, 12). Determine the liar and the real secret.