Question: Abinary [15, 5]-cyclic code is generated by g(x) = 1+x+x2+x4+x5+ x8 + x10. Construct a parity-check matrix of the form (I10|A). Decode the following words

Abinary [15, 5]-cyclic code is generated by g(x) = 1+x+x2+x4+x5+ x8 + x10. Construct a parity-check matrix of the form (I10|A). Decode the following words using error trapping: (a) 011111110101000; (b) 100101111011100.

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