The code words u1 = 1101010; u2 = 0100010; u3 = 1100011; u4 = 0010100 form a basis for a (7; 4) linear binary code. (a) Write do
wn a generator matrix for this code. (b) Construct code words for the messages 1001 and 0101. (c) Write down the parity check matrix for this code. (d) Find the syndromes for the received words 1110011; 1001010; 0001101; 1101010
