Suppose that instead of restricting the dass of permutations we restrict instead what they act upon. Specifically, take an arbitrary symbol permutation 7r. From a code C generated by G define a new matrix G'

which is just G with the entries of the jth column, gij(i = 1,2,"', k)

replaced by 7r(gij), and define C' as the linear code generated by G'.

at position 3 and show that C' is not equivalent to C. Note also that C'

is not the result of applying 7r to the 3rd position of C.

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For over Z3 do G = [ 20 1 1 1 2 0 2 ] *-(13) 2 10