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The code C 2 from class is a ( 3 , 4 , 2 ) - code. Observe that the first two bits uniquely determine

The code C2 from class is a (3,4,2)-code. Observe that the first two bits uniquely determine every codeword. Use a similar observation to explain why a binary (6,M,2)-code can have at most 2^5=32 elements. Is there a (6,32,2)-code?

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