Question: A linear code Cover Z5 has generator matrix By considering the weights of the codewords T2 and Tl + AT2, A = 0,1,2,3,4, find the

A linear code Cover Z5 has generator matrix

By considering the weights of the codewords T2 and Tl + AT2, A =

0,1,2,3,4, find the weight distribution of C.

[Rint : consider multiples of the codewords above, and the fact that C has 25 codewords.] Apply the MacWilliams identity to obtain the weight distribution of Cl. .

10 4 2 3 1 T2 0 1 4 1 02

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