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Let r be a root of 1 + x + x 4 in F2[x]. Let C be the narrow-sense binary BCH code of the length

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.

If possible, determine the error positions, if any, of the following received words

1. 1 + x4 + x5 + x6 + x9

2. 1 + x7

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