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186 Applications of Discrete Mathematics 12. There is a unique Steiner triple system with v7. a) What are its parameters as a BIBD? b) Construct it. c) Use it to construct a finite projective plane. What order is it? Computer Projects 1. Write a computer program to determine whether or not two Latin squares 2. Write a computer program to determine r and A in a BIBD if b, , and k are orthogonal are given. The output should list all of b,e,k,r,A and should say "this is an impossible configuration" if r or ? turns out not to be an integer. 186 Applications of Discrete Mathematics 12. There is a unique Steiner triple system with v7. a) What are its parameters as a BIBD? b) Construct it. c) Use it to construct a finite projective plane. What order is it? Computer Projects 1. Write a computer program to determine whether or not two Latin squares 2. Write a computer program to determine r and A in a BIBD if b, , and k are orthogonal are given. The output should list all of b,e,k,r,A and should say "this is an impossible configuration" if r or ? turns out not to be an integer