Stability of optimal spherical codes

Authors

Károly J. Böröczky
Alexey Glazyrin, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

10-7-2024

Abstract

For many extremal configurations of points on a sphere, the linear programming approach can be used to show their optimality. In this paper we establish the general framework for showing stability of such configurations and use this framework to prove the stability of the two spherical codes formed by minimal vectors of the lattice E8 and of the Leech lattice.

Comments

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Recommended Citation

Böröczky, Károly J., and Alexey Glazyrin. "Stability of optimal spherical codes." Monatshefte für Mathematik (2024): 1-21. https://doi.org/10.1007/s00605-024-02021-6

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Monatshefte für Mathematik

DOI

https://doi.org/10.1007/s00605-024-02021-6