Construct an encoding table for C
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Construct an encoding table for C

4. Let G =  be the generator matrix for a group code C.

(a) Construct an encoding table for C. As well as a column for the message words and a column for the code words, include a column for the weights of the code words.

(b) Determine the parameters [n, k, d] of the linear code C.

(c) What are the error-detecting and error-correcting capabilities of the code?

(d) You receive the word 0101011. Can this be corrected? Explain your answer.

(e) You receive the word 1110100. Can this be corrected? Explain your answer.

Hint
MathematicsMatrix refers to the rectangular array of numbers that are arranged in either columns or rows. It may also include symbols or expressions. Matrices are useful in representing and influence the study of linear maps between dimensional spaces. Matrices can also be represented in quadratic forms which enable the study of critical points....
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