[amp_mcq option1=”Less than” option2=”Greater than” option3=”Equal to” option4=”None of the above” correct=”option3″]
The correct answer is: C. Equal to.
The minimum Hamming distance between any two code words in a linear code is equal to the minimum weight of any non-zero code word. This is because any two code words that are at least one Hamming distance apart will have different weights, and any two code words that have the same weight must be the same code word.
The minimum Hamming distance is a measure of the error-correcting capability of a code. A code with a higher minimum Hamming distance can correct more errors than a code with a lower minimum Hamming distance.
The minimum weight of a code word is the number of bits in the code word that are different from 0. A code word with a higher weight is more likely to be detected as an error than a code word with a lower weight.
Therefore, the minimum Hamming distance between any two code words in a linear code is equal to the minimum weight of any non-zero code word.