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Suppose C is a binary ( n;M; 1 ) - code. Explain how to construct a ( 2 n + 1 ;M; 3 ) -

Suppose C is a binary

(

n;M;

1) -

code. Explain how to construct a

(2

+ 1

;M;

3) -

code out of C

.

Verify that your resulting code has minimal distance

3 .

(

Hint: Follow the construction of C

3

out of C

1 .)

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