Question: 3.6 Consider an (n, k) linear code C whose generator matrix G contains no zero column. Arrange all the codewords of C as rows of

3.6 Consider an (n, k) linear code C whose generator matrix

3.6 Consider an (n, k) linear code C whose generator matrix G contains no zero column. Arrange all the codewords of C as rows of a 2k-by-n array. a. Show that no column of the array contains only zeros. b. Show that each column of the array consists of 2k-1 zeros and 2 ones. c. Show that the set of all codewords with zeros in a particular component position forms a subspace of C. What is the dimension of this subspace

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