On a spherical code in the space of spherical harmonics

TL;DR

This paper introduces a novel method for constructing arrangements on the sphere using spherical harmonics, aiming to improve spherical code configurations.

Contribution

It presents a new approach leveraging spherical harmonic spaces to develop better arrangements on the sphere.

Findings

Proposes a new construction method for spherical arrangements.

Improves upon existing spherical code configurations.

Provides theoretical insights into spherical harmonic applications.

Abstract

In this short note we propose a new method for construction new nice arrangement on the sphere $S^d$ using the spaces of spherical harmonic.