Question

The received code contains an error if the syndrome vector is

(a) Zero

(b) Non zero

(c) Infinity

(d) None of the mentioned

I had been asked this question at a job interview.

I would like to ask this question from Cyclic Codes and Linear Block Codes in section Channel Coding of Digital Communications

Answer 1

The correct choice is (b) Non zero

Explanation: If the syndrome is an all zero vector then the received code-word is a valid code. If the syndrome is a non zero vector then the received code has errors.