For each of the following encoding functions, find the minimum distance between the code words. Discuss the

Question:

For each of the following encoding functions, find the minimum distance between the code words. Discuss the error-detecting and error-correcting capabilities of each code.
(a) E: Z22 → Z52
00 → 00001 01 → 01010
10 → 10100 11 → 11111
(b) E: Z22 → Z102
00 → 0000000000 01 → 0000011111
10 → 1111100000 11 → 1111111111
(c) E: Z32 → Z62
000 → 000111 001 → 001001
010 → 010010 011 → 011100
100 → 100100 101 → 101010
110 → 110001 111 → 111000
(d) E: Z32 → Z82
000 → 00011111 001 → 00111010
010 → 01010101 011 → 01110000
100 → 10001101 101 → 10101000
110 → 11000100 111 → 11100011