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Odd weight symmetry in some binary codes (Corresp.)

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1 Author(s)

If a linear binary code of length n contains the all-one codeword, than the weights of the code are symmetric. We consider those codes which do not contain the all-one codeword and yet have an equal number of symmetrically placed odd weight words.

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IEEE Transactions on Information Theory  (Volume:23 ,  Issue: 4 )