Determine all the code words of the code if Generator matrix for a (7,4) block code is as given below. Also if transmitted code word C=1011is received as 1111, use syndrome to correct this error. 1 0 0 0 :0 1 1G=0 1 0 0: 1 0 1 0 0 1 0: 1 1 0 0 0 0 1: 1 1 1

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 _

Construct the Generator Matrix for the code set

Given that the received vector for the (7, 4) code is Y=[1 0 0 1 1 0 1] and H=[1 0 1 1 1 0 0;1 1 0 1 0 1 0;1 1 1 0 0 0 1] . Which of the following is the syndrome vector? [1 0 0] [1 1 0] [1 0 1] [0 1 1]

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 a (6, 3) systematic linear block code, the codeword comprises of m0,m1,m2 as the message bits and p0,p1,p2 as the parity bits. The coded bits are given as: c0=m0⊕m1, c1=m0⊕m2, c2=m1⊕m2. Which of the statement(s) is/are correct? The error-correcting capability of the code is 1. The error-detecting capability of the code is 2. The error-correcting capability of the code is 2. The error-detecting capability of the code is 3