Also, Prove that the minimum distance of the code is exactly 3

Draw the block diagram for a syndrome decoder of the (7,4) linear code generated by 0 0 1 0 0 0 1 1 1 G = 1 1 0 1 01 1 1 1. 0 0 LO 0 0 1 0 1 0 1 Carefully label all components. Estimate the ROM (Read only Memory) size in bits that will be needed Draw the block diagram for a syndrome decoder of the (7,4) linear code generated by 0 0 1 0 0 0 1 1 1 G = 1 1 0 1 01 1 1 1. 0 0 LO 0 0 1 0 1 0 1 Carefully label all components. Estimate the ROM (Read only Memory) size in bits that will be needed