Information Theory and Coding > Error Control Coding > How to generate Generation Matrix?

How to generate Generation Matrix?

If the message given to you and message is also given to you then we can produce codewword.

C=d[G] and G is the concatenation of  [I] and [P]

It is a combination of identity matrix I and parity sub-matrix P : In identity matrix number of column and row are same and diagonal elements are 1 and other elements are zero.

Generator Ploynomial matrix:

Example: for (6,3) codewords the generation matrix will be 3 by 6 matrix where there will be 3 by 3 identity matrix and a parity sub-matrix will be 3 by 3 matrix

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