Question: Let C be a binary code of length 8 such that every codeword has weight 4 and any two distinct codewords x and y has

Let C be a binary code of length 8 such that every codeword has weight 4 and any two distinct
codewords x and y has d(x; y)=4. Sho
w that |C|<=7. Does there exist such a code with |C|=7?

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