For the code C = {00000,11111}, how many errors would have to occur during transmission for a received word to be encoded incorrectly?
A) 2
B) 3
C) 4
D) 5

Question

Quizplus · Accepted Answer

For a code C = {00000, 11111}, any word sent across the channel must be one of these two codewords. To encode a word incorrectly, it must be received as a word outside of the set C.

To achieve this, at least 3 errors must occur during the transmission because if 0, 1, or 2 errors occur, the received word will still be one of the codewords in C.

Therefore, the correct answer is B.

For the Code C = {00000,11111}, How Many Errors Would