一些产品代码的权重层次结构

IEEE Trans. Inf. Theory Pub Date : 2000-09-01 DOI:10.1109/18.868495

Jeng Yune Park

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引用次数: 10

摘要

我们确定了n元组空间与任意码的乘积、m维偶权码与[24,12,8]扩展Golay码的乘积、m维偶权码与[8,4,4]扩展Hamming码的乘积的权重层次。猜想d/下标r/=d*/下标r/在这三种情况下都得到了证明。

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The weight hierarchies of some product codes

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 d/sub r/=d*/sub r/ is proven for all three cases.

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IEEE Trans. Inf. Theory

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