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arXiv math/0308110math.MGcs.ITmath.IT
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Grassmann流形和Stiefel流形中的球面填充界

Sphere packing bounds in the Grassmann and Stiefel manifolds

Oliver Henkel

摘要:

应用黎曼几何机器的体积估计的曲率,包装/代码的最小距离的Grassmann和Stiefel流形的界限将推导和分析。在空时分组码的上下文中,这导致最小距离下限作为分组长度的函数单调增加。这就要求代码设计使用较大的分组长度。

英文摘要:

Applying the Riemann geometric machinery of volume estimates in terms of curvature, bounds for the minimal distance of packings/codes in the Grassmann and Stiefel manifolds will be derived and analyzed. In the context of space-time block codes this leads to a monotonically increasing minimal distance lower bound as a function of the block length. This advocates large block lengths for the code design.

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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