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I think some of the details need to be better written here. The variable 'k' is not even defined. Also, the sentence "or there must be an even number of odd values" is confusing. Instead of writing that, should write something straight-forward, such as - the "Exclusive OR" of all the bits linked by the lines will be logical 0. Also, as if by 'magic', the matrices "P" and "I" just pop out of nowhere, and nobody has any idea what they are. [[User:KorgBoy|KorgBoy]] ([[User talk:KorgBoy|talk]]) 08:10, 25 May 2017 (UTC)
I think H should be reduced to -P^T | I_{k} and not (n-k). Because the number of rows of H is actually k. It works for this example since n-k = k here, but for general n and k, it will not work.
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