Binary Code - Generator Polynomial - IT Assignment Help

Assignment Task:

1. How many words does it have? List all of them.
2. What is its length?
3. What is its dimension? Explain your answer.
4. Prove that it is a cyclic code.
5. What is its generator polynomial? Explain your answer.
6. What is the check polynomial?
7. Give a parity check matrix of C2.
8. What is the minimum distance of C2? Explain your answer.
9. How many errors can be corrected from a word of C2? Explain your answer.
10. What is the syndrome of the word?
11. If the previous word has errors, explain the steps to follow to correct them and give the corrected word. If it does not have errors, prove that, indeed, it does not have. 
12. Give an example of a word with two errors that can not be properly corrected.

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