Sphere packing bounds in the Grassmann and Stiefel manifolds
<|reference_start|>Sphere packing bounds in the Grassmann and Stiefel manifolds: 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.<|reference_end|>
@article{henkel2003sphere,
    title={Sphere packing bounds in the Grassmann and Stiefel manifolds},
    author={Oliver Henkel},
    journal={IEEE Transactions on Information Theory, vol 51, no 10, (2005),
  3445-3456},
    year={2003},
    doi={10.1109/TIT.2005.855594},
    archivePrefix={arXiv},
    eprint={math/0308110},
    primaryClass={math.MG cs.IT math.IT}
}