Problem 3 (12 points): Consider the following parity bit formulas for a (7.4) systematic Hamming linear block code as follows: bz = m + m2 + mz b = mo + m2 + mz bo = mo + m + mz a) Construct the code generator matrix G. b) Evaluate the syndrome table of the this code. c) Detect and correct the error in the received data word 1011011