2. Let g(z) :-(z-c2)(z-d)(z-d)(z-c5) generate a Rood-Solomon code (with n = 15, k = 11, d = 5). Shorten it to n.-8, k.-4, with binary parameters n32 and k 16 (a) Encode the binary message1110 0000 1000 0100. (b) Compute the relevant syndromes from the binary received word :: 0010 1100 0000 1000 0000 0000 1111 1000. 2. Let g(z) :-(z-c2)(z-d)(z-d)(z-c5) generate a Rood-Solomon code (with n = 15, k = 11, d = 5). Shorten it to n.-8, k.-4, with binary parameters n32 and k 16 (a) Encode the binary message1110 0000 1000 0100. (b) Compute the relevant syndromes from the binary received word :: 0010 1100 0000 1000 0000 0000 1111 1000