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The weight hierarchies of some product codes

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1 Author(s)
Jeng Yune Park ; Dept. of Math., Wisconsin Univ., Madison, WI, USA

We determine the weight hierarchies of the product of an n-tuple space and an arbitrary code, the product of an m-dimensional even-weight code and the [24,12,8] extended Golay code, and the product of an m-dimensional even-weight code and the [8,4,4] extended Hamming code. The conjecture dr=d*r is proven for all three cases

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Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 6 )