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arXiv 1210.0010cs.ITcs.DMmath.COmath.IT
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超立方体的极大非并行汉明码划分

A partition of the hypercube into maximally nonparallel Hamming codes

Denis Krotov

摘要:

利用Gold映射,我们构造了一个超立方体的Hamming码陪集的划分,使得每两个陪集对应的Hamming码是最大不平行的,也就是说,它们的相交基数尽可能小,以允许不相交的陪集.

英文摘要:

By using the Gold map, we construct a partition of the hypercube into cosets of Hamming codes such that for every two cosets the corresponding Hamming codes are maximally nonparallel, that is, their intersection cardinality is as small as possible to admit nonintersecting cosets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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