Description
Spherical code whose codewords are points on the \(D_4\) lattice normalized to lie on the unit sphere.
Parent
Child
- Disphenoidal 288-cell code — Disphenoidal 288-cell codewords are the union of two 24-point shells of the \(D_4\) lattice, with each shell making up the vertices of a 24-cell.
Cousins
- \(D_4\) hyper-diamond lattice code
- Spherical design — \(D_4\) \(2m\)-shell codes can form spherical designs [1].
References
- [1]
- M. Hirao, H. Nozaki, and K. Tasaka, “Spherical designs and modular forms of the \(D_4\) lattice”, (2023) arXiv:2303.09000
Page edit log
- Victor V. Albert (2022-11-16) — most recent
Cite as:
“\(D_4\) lattice-shell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dfour_shell