Hyperbolic sphere packing[1,2] 

References

[1]

E. B. Da Silva, R. Palazzo, and S. R. Costa, “Improving the performance of asymmetric M-PAM signal constellations in Euclidean space by embedding them in hyperbolic space”, 1998 Information Theory Workshop (Cat. No.98EX131) DOI

[2]

E. B. da Silva et al., “Signal constellations in the hyperbolic plane: A proposal for new communication systems”, Journal of the Franklin Institute 343, 69 (2006) DOI

[3]

M. E. Gertsenshtein and V. B. Vasil’ev, “Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane”, Theory of Probability & Its Applications 4, 391 (1959) DOI

[4]

M. F. Bourque and B. Petri, “Linear programming bounds for hyperbolic surfaces”, (2023) arXiv:2302.02540

[5]

Silva, E. B., and R. Palazzo Jr. "M-PSK signal constellations in hyperbolic space achieving better performance than the M-PSK signal constellations in Euclidean space." 1999 IEEE Information Theory Workshop, Metsovo, Greece. 1999.

[6]

Silva, E. B., R. Palazzo Jr, and M. Firer. "Performance analysis of QAM-like constellations in hyperbolic space." 2000 International Symposium on Information Theory and its Applications, Honolulu, USA. 2000.