No.5. (15 points) Complete the following vectors with Hamming weight 5 to codewords of Hamming weight 8 (octads) in the [24,127] Golay code * * t) () * * * No. 6. (15 points) Prove that the permutations shown below preserve the [24, 12,8] Golay code C24. () (0) ( 2.2122 29120 (8 points) (02) 939393 1997 (3 points) (4 points) No.5. (15 points) Complete the following vectors with Hamming weight 5 to codewords of Hamming weight 8 (octads) in the [24,127] Golay code * * t) () * * * No. 6. (15 points) Prove that the permutations shown below preserve the [24, 12,8] Golay code C24. () (0) ( 2.2122 29120 (8 points) (02) 939393 1997 (3 points) (4 points)