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Data for "Three-point bounds for sphere packing"
(2022-06-29)
This data set includes all the numerical data from the paper "Three-point bounds for sphere packing" by Cohn, de Laat, and Salmon.
Modular bootstrap data
(2020-06-03)
This data set includes the numerical data from the papers "High-dimensional sphere packing and the modular bootstrap" (by Afkhami-Jeddi, Cohn, Hartman, de Laat, and Tajdini) and "Free partition functions and an averaged ...
Point configurations minimizing harmonic energy on spheres
(2021-06-13)
This data set contains updated numerical data for the paper "Experimental study of energy-minimizing point configurations on spheres" (Experiment. Math. 18 (2009), no. 3, 257-283).
Data for "Dual linear programming bounds for sphere packing via modular forms"
(2021-04-04)
This data set contains numerical data for the paper "Dual linear programming bounds for sphere packing via modular forms" by Cohn and Triantafillou (available on the arXiv with arXiv ID 1909.04772, at the URL https://arX ...
Grassmannian packings
(2023-01-08)
This table of Grassmannian packings was created by N. J. A. Sloane based on joint work with R. H. Hardin and J. H. Conway in "Packing lines, planes, etc.: packings in Grassmannian spaces" (Experiment. Math. 5 (1996), ...
Computer-assisted proof of kernel inequalities
(2022-03-16)
This data set provides a computer-assisted proof for the kernel inequalities needed to prove universal optimality in the paper "Universal optimality of the E_8 and Leech lattices and interpolation formulas" (by Cohn, Kumar, ...
Small spherical and projective codes
(2022-05-23)
This data set describes the best spherical and real projective codes that are known to exist (to the best of my knowledge), for up to 32 points on spheres or 16 lines through the origin in the real projective case. It ...
Data for "An optimal uncertainty principle in twelve dimensions via modular forms"
(2018-09-24)
This data set includes all the numerical data referred to in the paper "An optimal uncertainty principle in twelve dimensions via modular forms" by Cohn and Gonçalves (available on the arXiv with arXiv ID 1712.04438, at ...
Table of sphere packing density bounds
(2024-01-15)
This table shows the best lower and upper bounds known for the packing density of congruent spheres in Euclidean spaces of dimensions 1 through 48, 56, 64, and 72.
Sloane's tables of point configurations on spheres
(2023-01-07)
These tables of point configurations on spheres were created by N. J. A. Sloane based on joint work with R. H. Hardin, W. D. Smith, and others. Sloane has since retired from AT&T Labs, and Henry Cohn has taken over maintaining ...