[amp_mcq option1=”Sum” option2=”Difference” option3=”Product” option4=”Division” correct=”option1″]
The correct answer is A. Sum.
The linearity property of a cyclic code states that the sum of two code words in a cyclic code is also a valid code word. This means that if $c_1$ and $c_2$ are two code words in a cyclic code, then $c_1 + c_2$ is also a code word in the same code.
The linearity property is a useful property of cyclic codes because it makes it easy to generate new code words from existing code words. For example, if we have a code word $c_1$, we can generate the code words $c_1 + c_1$, $c_1 – c_1$, $c_1 \times c_1$, and so on.
The linearity property is also useful for decoding cyclic codes. When we decode a cyclic code, we typically try to find a code word that is closest to the received word. The linearity property can be used to simplify this process, because we can only consider code words that are linear combinations of the received word.
The linearity property is a powerful tool for working with cyclic codes. It makes it easy to generate new code words and to decode cyclic codes.