تقرير
Optimal codes in the Stiefel manifold
| العنوان: | Optimal codes in the Stiefel manifold |
|---|---|
| المؤلفون: | Jasper, John, Mankovich, Nathan, Mixon, Dustin G. |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, Computer Science - Information Theory, Mathematics - Combinatorics |
| الوصف: | We consider the coding problem in the Stiefel manifold with chordal distance. After considering various low-dimensional instances of this problem, we use Rankin's bounds on spherical codes to prove upper bounds on the minimum distance of a Stiefel code, and then we construct several examples of codes that achieve equality in these bounds. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.01813 |
| رقم الأكسشن: | edsarx.2407.01813 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |