Error Detection

Question

I am getting min Hamming distance = 1. But no such option.

Also Is there any way to find Valid/Invalid Codewords?

Comments

How to find out q? A) won't be the ans as min Hamming Distance is 1

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I observe in many of the question that if minimum is not given in the option then we take 2nd minimum :3

it's just a observation

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Is there any concept of Invalid Codewords.???  I heard somewhere that here the first codeword i.e.,10101 is Invalid. Becoz when we take XOR of its bits , we get 1, where as when we take XOR of the bits of other Codewords we are getting 1 in each one of them. So we will not take 10101 into account. And calculate the min Hamming distance by taking other Codewords.

Pls tell me if there is any such kind of concept .

Answer 1

between code 10101 and 10001 only one bit difference.

yes hamming distance is 1 (p)

hence error detected = hamming distance -1 hence 0 (q).