How to prove CRC can detect even number of isolated bit errors

Question

A 1024-bit message is sent that contains 992 data bits and 32 CRC bits. CRC is com- puted using the IEEE 802 standardized, 32-degree CRC polynomial. For each of the following, explain whether the errors during message transmission will be detected by the receiver:

(a) There was a single-bit error.

(b) There were two isolated bit errors.

(c) There were 18 isolated bit errors.

(d) There were 47 isolated bit errors.

(e) There was a 24-bit long burst error.

(f) There was a 35-bit long burst error.

In the above question can anyone explain for option (c).

Answer 1

权重为18的这个41位代码字（以十六进制表示为六个字节）可以与从任何位位置开始的任何消息进行异或，并使该消息的CRC-32保持不变：

2f 18 3b a0 70 01