3. a. Show that a binary (23, 7) code with 4096 codewords is a perfect code, if it b. Show that a binary (90, 5) code with 278 codewords is a perfect code, if it In fact, the code in part a. does exist. It is called the binary Golay code and is linear. exists exists It is the only perfect binary code besides ones that have the parameters of Hamming codes. There does not exist a code with the parameters in part b.] 3. a. Show that a binary (23, 7) code with 4096 codewords is a perfect code, if it b. Show that a binary (90, 5) code with 278 codewords is a perfect code, if it In fact, the code in part a. does exist. It is called the binary Golay code and is linear. exists exists It is the only perfect binary code besides ones that have the parameters of Hamming codes. There does not exist a code with the parameters in part b.]