Show that this polynomial can generate a cyclic code for, English

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Show that this polynomial can generate a cyclic code for

The polynomial g(X) = X + 1 over the binary field is considered.

a. Show that this polynomial can generate a cyclic code for any choice of n. Find the corresponding k.

b. Find the systematic form of G and H for the code generated by g(X).

c. Can you say what type of code this generator polynomial generates?

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English: Show that this polynomial can generate a cyclic code for

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