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Letr be a root of 1 + x + x4 in F[x]. Let C be the narrow-sense binary BCH code of the length 15

Letr be a root of 1 + x + x4 in F[x]. Let C be the narrow-sense binary BCH code of the length 15 with designated distance 5. (a) Find the generator polynomial of C. (b) If possible, determine the error positions, if any, of the following received words: (i) 1+x+x+x8 (ii) (iii) 1 + x + x + x + x 1+x

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