Upper bounds for energies of spherical codes of given cardinality and separation
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Publication:2200514
DOI10.1007/s10623-020-00733-yzbMath1453.94162arXiv1909.00981OpenAlexW3006368394MaRDI QIDQ2200514
M. M. Stoyanova, P. G. Boyvalenkov, Edward B. Saff, Peter D. Dragnev, Douglas P. Hardin
Publication date: 22 September 2020
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.00981
Bounds on codes (94B65) Other designs, configurations (05B30) Inequalities and extremum problems involving convexity in convex geometry (52A40)
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STOLARSKY'S INVARIANCE PRINCIPLE FOR FINITE METRIC SPACES ⋮ Bounds for the sum of distances of spherical sets of small size
Cites Work
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- Energy bounds for codes and designs in Hamming spaces
- Universal lower bounds for potential energy of spherical codes
- The Coulomb energy of spherical designs on \(S^{2}\)
- The \(s\)-energy of spherical designs on \(S^{2}\)
- Designs as maximum codes in polynomial metric spaces
- On means of distances on the surface of a sphere. II: Upper bounds
- Spherical codes and designs
- New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
- Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere
- Comparison of probabilistic and deterministic point sets on the sphere
- On spherical codes with inner products in a prescribed interval
- Universal lower bounds on energy and LP-extremal polynomials for \((4, 24)\)-codes
- Well-separated spherical designs
- Energy bounds for codes in polynomial metric spaces
- Spherical designs of harmonic index \(t\)
- The kissing number in four dimensions
- Discrepancy, separation and Riesz energy of finite point sets on the unit sphere
- Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?
- Das Problem der dreizehn Kugeln
- Positive definite functions on spheres
- Experimental Study of Energy-Minimizing Point Configurations on Spheres
- Universally optimal distribution of points on spheres
- New upper bounds for kissing numbers from semidefinite programming
- High-Accuracy Semidefinite Programming Bounds for Kissing Numbers
- The Addition Formula for Jacobi Polynomials and Spherical Harmonics
- Improving the Semidefinite Programming Bound for the Kissing Number by Exploiting Polynomial Symmetry
- Estimates for Logarithmic and Riesz Energies of Spherical t-Designs
- Discrete Energy on Rectifiable Sets
- A survey on the kissing numbers
- Universal upper and lower bounds on energy of spherical designs
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