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How to construct the generator matrix and convert it into systematic form
written 6.5 years ago by | modified 5.8 years ago by |
The generator polynomial of a $(7, 4)$ cyclic code is $g(D) = 1 + D2 + D3$
Find all the valid code words of this code in non-systematic and in systematic form.
Construct the generator matrix G and convert it into systematic form.
Consider the a (8, 5) cyclic code defined by the generator polynomial
Find the systematic cyclic code word for the input sequence m.
Determine the syndrome polynomial s(D) if the received code is 11010110 and verify whether or not this code is error-free.
Construct the generator matrix, G, in systematic form.
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