Description
Spherical \((4,600,(7-3\sqrt{5})/4)\) code whose codewords are the vertices of the 120-cell. See [2][1; Table 1][3; Table 3] for realizations of the 600 codewords.
Notes
The 120-cell code yields improved proofs of the Bell-Kochen-Specker (BKS) theorem [1].
Parents
- Polytope code
- Spherical design — The code forms a spherical 11-design because its vertices can be divided into five 600-cells, each of which forms said design.
Child
- 600-cell code — Vertices of a 120-cell can be split up into vertices of five 600-cells [1,2].
References
- [1]
- M. Waegell and P. K. Aravind, “Parity Proofs of the Kochen–Specker Theorem Based on the 120-Cell”, Foundations of Physics 44, 1085 (2014) arXiv:1309.7530 DOI
- [2]
- H. S. M. Coxeter. Regular polytopes. Courier Corporation, 1973.
- [3]
- S. Mamone, G. Pileio, and M. H. Levitt, “Orientational Sampling Schemes Based on Four Dimensional Polytopes”, Symmetry 2, 1423 (2010) DOI
Page edit log
- Victor V. Albert (2022-11-23) — most recent
Cite as:
“120-cell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/120cell