Question: Verify that over Z3 g(x) = x 5 + x 4 + 2x 3 + x 2 + 2 is a divisor of xl! -

Verify that over Z3 g(x) = x5 + x4 + 2x3 + x 2 + 2 is a divisor of xl! - 1.

Let C be the cyclic ternary [11, 6] code (g(x)).

Given that d( C) = 5, use error trapping to decode the received word 20121020112. What proportion of errors of weight 2 are not correctable by this method?

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