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Some results on the minimum weight of primitive BCH codes (Corresp.)

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2 Author(s)

For1 leq i leq m - s- 2and0 leq s leq m -2i, the intersection of the binary BCH code of designed distance2 ^{m-s-1} - 2 ^{m-s-t-1} - 1and length2^m - 1with the shortened(s + 2)th-order Reed-Muller code of length2^m -- 1has codewords of weight2^{m-s-1} - 2^{m-s-t-1} - 1.

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Information Theory, IEEE Transactions on  (Volume:18 ,  Issue: 6 )