Construct the Generator Matrix for the code set

Construct the Check Matrix for the code set.

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

Consider the code with generator matrixG=⎛⎝⎜100010001111101⎞⎠⎟.𝐺=(100110101000111). What is k𝑘  for this code?

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>.

Consider a code with generator matrixG=⎛⎝⎜100010001111101⎞⎠⎟.𝐺=(100110101000111). What is the parity-check matrix H𝐻 for this code?Group of answer choices(1110110000)(1110010100) (1001111011)(1011101101) (1110111001)(1111010101) ⎛⎝⎜⎜⎜⎜⎜⎜1111010101⎞⎠⎟⎟⎟⎟⎟⎟(1110111001) (0101101101)(0011011011)