Stability of optimal spherical codes
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Publication:6631367
DOI10.1007/S00605-024-02021-6MaRDI QIDQ6631367
Károly J. Böröczky, Alexey Glazyrin
Publication date: 1 November 2024
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
stabilitykissing numberLeech latticespherical codes\(E_8\) latticepacking of equal ballsDelsarte-tight code
Linear programming (90C05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)
Cites Work
- Optimality and uniqueness of the Leech lattice among lattices
- Designs as maximum codes in polynomial metric spaces
- The regular two-graph on 276 vertices
- Spherical codes and designs
- New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
- Equiangular lines and spherical codes in Euclidean space
- Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes
- Stability for vertex isoperimetry in the cube
- Lectures on matrices.
- Positive definite functions on spheres
- Codes on Euclidean spheres
- Universally optimal distribution of points on spheres
- Polynomial Minimum Root Separation
- Uniqueness of Certain Spherical Codes
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