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Following text and screenshot are taken from Forouzan's CN book:
"In a linear block code, the exclusive OR (XOR) of any two valid codewords creates another valid codeword."

My question is EXoring of which two codewords in Table 10.2 will create first codeword 00000?

1 Answer

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If you XOR any of the rest three codewords by the same, you get 00000.

Suppose 01011 with 01011 gives 00000

Statement does not specifically say that both codewords should be distinct.

Hence by any codeword, we can exor them with themselves and get 00000.

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