Question: 3. For the binary group code whose generator matrix is: [ 1 0 1 0 1 1 1 0 1 1 1 1 0 |

3. For the binary group code whose generator matrix is: [

3. For the binary group code whose generator matrix is: [ 1 0 1 0 1 1 1 0 1 1 1 1 0 | 0 0 0 1 1 1 (a) Find the generator matrix G in the systematic form for an equiva- lent code. (b) Find the parity-check matrix H for the code in (a). (c) Find the codeword that has 110 as information symbols. Show that it is in the row space of G and in the null space of H

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