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For the ( 7 , 4 ) cyclic Hamming code with generator polynomial g ( X ) = X 3 + X + 1 ,

For the

(7, 4)

cyclic Hamming code with generator polynomial g

(

) =

3 +

+ 1,

construct an

(8, 4)

extended Hamming code and list all the codewords. What is dmin for the extended code?

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