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3. Let r 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
3. Let r 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+x6+x7+x8 (ii) 1+x4+x5+x6+x9 (iii) 1+x7
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