30. Let C = {0 1 0 1 0,  1 1 0 1 0,  1 0 0 1 0,  0 1 1 1 0}. Suppose Miko received the binary word 0 1 1 0 1 from Rocky.  Which codeword from C did you think Rocky send?Group of answer choices1 1 0 1 00 1 1 1 00 1 0 1 01 0 0 1 0

29. Let the message word = 0  1  1  1.  Use Hamming (4,7) to form the codeword.Group of answer choices0 1 1 1 1 000 1 1 1 0 1 00 1 1 1 1 0 10 1 1 1 0 0 1

For Hamming code, when encoding the message m=1011𝑚=1011, the last bit of the output is 11.Group of answer choicesTrueFalse

A Hamming (7,4 ) code uses the following check bit rulesc1 = k1 + k4 c2  = k1 + k2 + k3   c3 = k1 + k3Construct a complete table for the code set.Construct the Generator Matrix for the code setConstruct the Check Matrix for the code set.Using the Generator matrix, determine the encoded form of the data word <1001>Using the Check matrix decode the following received codeword <1001001>.Answer text Question 1k1 k2 k3 k4 c1 c2 c30 0 0 0 0 0 00 0 0 1 1 0 10 0 1 0 0 1 10 0 1 1 1 1 00 1 0 0 0 1 00 1 _

Question A [10 marks in total]. Louise needs to send to Madhu sequences which consist of lettersT, E, B, L. Each letter is represented by a two-bit message, as follows:T= [0 0], E= [0 1], B= [1 0], L= [1 1].Since Louise and Madhu have to use a one-way, noisy channel, BSC(𝑝) with small 𝑝, Louise encodeseach message using the generator matrix𝐺 = [1 0 0 1 10 1 1 0 1]of a binary linear code 𝐶.A1 [2 marks] Represent the word LET as three two-bit messages, encode each message as describedabove and write down the resulting three codevectors of 𝐶.A2 [2 marks] Write down a standard array for 𝐶. (You do not need to explain your answer.)A3 [2 marks] Determine 𝑃corr(𝐶), the probability that a codevector of 𝐶 is sent over BSC(𝑝) andthe received vector is decoded correctly. (Briefly indicate what you have used to arrive at theanswer.)A4 [2 marks] Madhu received the following six vectors via the channel:[1 1 0 1 1] , [0 1 1 0 0] , [0 1 1 0 1] , [0 0 1 0 0] , [0 1 1 1 0] , [1 1 1 0 1]Determine the six-letter sequence which was most likely sent by Louise. For decoding, youmust use the standard array you constructed in part A2; you should indicate, e.g., by drawingarrows on the standard array, how you decode the received vectors. Your answer needs to besix letters, not vectors, which means that you need to unencode your answer.A5 [2 marks] Write down the weight enumerator 𝑊𝐶(𝑥, 𝑦) of 𝐶.

Question A [10 marks in total]. Louise needs to send to Madhu sequences which consist of lettersT, E, B, L. Each letter is represented by a two-bit message, as follows:T= [0 0], E= [0 1], B= [1 0], L= [1 1].Since Louise and Madhu have to use a one-way, noisy channel, BSC(𝑝) with small 𝑝, Louise encodeseach message using the generator matrix𝐺 = [1 0 0 1 10 1 1 0 1]of a binary linear code 𝐶.A1 [2 marks] Represent the word LET as three two-bit messages, encode each message as describedabove and write down the resulting three codevectors of 𝐶.