Constructive Spherical Codes by Hopf Foliations

Henrique K. Miyamoto, Sueli I. R. Costa, Henrique N. Sá Earp

We present a new systematic approach to constructing spherical codes in dimensions $2^k$, based on Hopf foliations. Using the fact that a sphere $S^{2n-1}$ is foliated by manifolds…