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Maximum likelihood decoding of certain Reed - Muller codes (Corresp.)

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2 Author(s)

We present an efficient maximum likelihood decoding algorithm for the punctured binary Reed-Muller code of order (m - 3) and length 2^{m} - 1, M \geq 3 , and we give formulas for the weight distribution of coset leaders of such codes.

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Information Theory, IEEE Transactions on  (Volume:29 ,  Issue: 3 )