Letr be a root of 1 + x + x4 in F[x]. Let C be the...

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Letr be a root of 1 + x + x4 in F₂[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+x²+x8 (ii) (iii) 1 + x² + x³ + x² + x² 1+x² Letr be a root of 1 + x + x4 in F₂[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+x²+x8 (ii) (iii) 1 + x² + x³ + x² + x² 1+x²

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a To find the generator polynomial of C we need to determine the minimum polynomial of r over F 2 wh... View the full answer