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Theory of Information and Coding I want to see every step to understand. QUESTION: a ) Construct the generator matrix G ( 2 , 4

Theory of Information and Coding I want to see every step to understand. QUESTION: a) Construct the generator matrix G(2,4) for the binary Reed-Muller code R(2,4). b) For the message u=00110011111, what is the corresponding codeword? c) Find the minimum distance of R(2,4) and determine how many error(s) it can detect / correct.

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