Cyclic codes
1. Let is the generator polynomial of cyclic code. The codeword of the message polynomial is . For the same message polynomial , the codeword obtained by shift register based encoder is . Here, be the remainder obtained when the polynomial is divided by . Is for all message polynomials?
2. Which of the following codes is not a cyclic code?
3. Consider cyclic code with the generator polynomial . Using shift register based encoder, find the codeword of the message
4. Consider the Meggitt decoder for a cyclic code given in Figure
ef{fig:meggitt_decoder_quiz}. Suppose the content in the buffer register is and in the buffer register is . What will be the contents of the, buffer register, syndrome register and out put of the decoder at the next time instant?
5. Consider cyclic code with the generator polynomial . The syndrome polynomial of is
6. Consider cyclic code with the generator polynomial . For this code, the error pattern detection circuit (detector) of the decoder has to be designed in such a way that the output of the detector is only if content of the syndrome register is