Question: A (6,3) systematic linear block code encodes the message sequence m = [M1, M2, M3] into codeword c = [b1,b2, 63, m4, m2, m3), such

A (6,3) systematic linear block code encodes the message sequence m = [M1, M2, M3] into codeword c = [b1,b2, 63, m4, m2, m3), such that by = mm b2 = mm bz = m2 m3 The symbole denotes modulo-2 addition a) Find the generator matrix. [3 marks] b) What is the minimum distance of this code? [6 marks] c) How many errors can this code correct? [3 marks) d) If the received sequence is 110111, decode the transmitted message using syndrome decoding

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