3. Let C be the linear code of length 5 over F2 given by {00000, 01101, 10110, 11011,00011,01110, 10101, 11000}. What is the dimension of C? Decide which of the following matrices are generator matrices for C and provide a justification for your answers: ミン 0 1 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 G1 G2 0 1 %D %3D 1 1 1. 100 0 100 0 1 0 0 0 1 1 G3 = 1 1 G4 = 1 0101 %3D %3D 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 00 0 0 1 1 0 1 1 0 1 0 1 1 1 G5 = G6 = %3D 1 0 1 10 1 1 0,

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