For aim application that requires error detection only, we may
For aim application that requires error detection only, we may
For aim application that requires error detection only, we may use a nonsystematic code. In this problem, we explore the generation of such a cyclic code. Let g(X) denote the generator polynomial, and rn(X) denote the message polynomial. We define the code polynomial c(X) simply as c(X) = m(X) g (X) Hence, for a given generator polynomial, we may readily determine the code words in he code. To illustrate this procedure, consider the generator polynomial for a (7, 4) Hamming code: g(X) = 1 + X + X3 Determine the 16 code words in the code, and confirm the non-systematic nature of the cod
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