https://hdl.handle.net/1721.1/118158 2026-04-05T20:33:09Z 2026-04-05T20:33:09Z Cohn, Henry Rajagopal, Isaac https://hdl.handle.net/1721.1/157699 2025-04-08T05:01:16Z 2024-12-01T00:00:00Z

Data for "Variations on five-dimensional sphere packings" Cohn, Henry; Rajagopal, Isaac This data set includes all the code and data from the paper "Variations on five-dimensional sphere packings" by Cohn and Rajagopal.

2024-12-01T00:00:00Z Cohn, Henry de Laat, David Leijenhorst, Nando https://hdl.handle.net/1721.1/153928 2026-03-03T03:09:38Z 2024-03-25T00:00:00Z

Data for "Optimality of spherical codes via exact semidefinite programming bounds" Cohn, Henry; de Laat, David; Leijenhorst, Nando This data set includes all the code and data from the paper "Optimality of spherical codes via exact semidefinite programming bounds" by Cohn, de Laat, and Leijenhorst.

2024-03-25T00:00:00Z Cohn, Henry https://hdl.handle.net/1721.1/153543 2026-02-01T04:33:22Z 2024-02-18T00:00:00Z

Table of spherical codes Cohn, Henry This table lists the best spherical codes I am aware of with up to 1024 points in up to 32 dimensions. It archives the data from https://spherical-codes.org in a form more suitable for citation, since it is likely to be preserved much longer than the web site.

2024-02-18T00:00:00Z Cohn, Henry https://hdl.handle.net/1721.1/153312 2026-04-03T05:46:05Z 2024-01-16T00:00:00Z

Table of kissing number bounds Cohn, Henry This table shows the best lower and upper bounds known for the kissing number in Euclidean spaces of dimensions 1 through 48 and 72.

2024-01-16T00:00:00Z Cohn, Henry https://hdl.handle.net/1721.1/153311 2026-01-24T07:59:08Z 2024-01-15T00:00:00Z

Table of sphere packing density bounds Cohn, Henry 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.

2024-01-15T00:00:00Z https://hdl.handle.net/1721.1/147005 2025-12-29T11:21:51Z 2023-01-08T00:00:00Z

Grassmannian packings 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), 139–159, https://projecteuclid.org/euclid.em/1047565645). Sloane has since retired from AT&T Labs, and Henry Cohn has taken over maintaining the table.

2023-01-08T00:00:00Z https://hdl.handle.net/1721.1/147004 2024-02-18T02:52:16Z 2023-01-07T00:00:00Z

Sloane's tables of point configurations on spheres 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 the tables

2023-01-07T00:00:00Z Cohn, Henry de Laat, David Salmon, Andrew https://hdl.handle.net/1721.1/143590 2022-07-01T03:05:28Z 2022-06-29T00:00:00Z

Data for "Three-point bounds for sphere packing" Cohn, Henry; de Laat, David; Salmon, Andrew This data set includes all the numerical data from the paper "Three-point bounds for sphere packing" by Cohn, de Laat, and Salmon.

2022-06-29T00:00:00Z Cohn, Henry https://hdl.handle.net/1721.1/142661 2025-11-24T04:04:57Z 2022-05-23T00:00:00Z

Small spherical and projective codes Cohn, Henry 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 includes numerical approximations and in many cases exact constructions.

2022-05-23T00:00:00Z Cohn, Henry Kumar, Abhinav Miller, Stephen D. Radchenko, Danylo Viazovska, Maryna https://hdl.handle.net/1721.1/141226 2022-03-17T03:17:54Z 2022-03-16T00:00:00Z

Computer-assisted proof of kernel inequalities Cohn, Henry; Kumar, Abhinav; Miller, Stephen D.; Radchenko, Danylo; Viazovska, Maryna 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, Miller, Radchenko, and Viazovska). It includes both our original proof using Mathematica and a revised proof using Sage.

2022-03-16T00:00:00Z Ballinger, Brandon Blekherman, Grigoriy Cohn, Henry Giansiracusa, Noah Kelly, Elizabeth Schürmann, Achill https://hdl.handle.net/1721.1/130937 2021-06-13T06:24:40Z 2021-06-13T00:00:00Z

Point configurations minimizing harmonic energy on spheres Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill 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).

2021-06-13T00:00:00Z Cohn, Henry Triantafillou, Nicholas https://hdl.handle.net/1721.1/130355 2021-04-04T03:21:36Z 2021-04-04T00:00:00Z

Data for "Dual linear programming bounds for sphere packing via modular forms" Cohn, Henry; Triantafillou, Nicholas 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://arXiv.org/abs/1909.04772).

2021-04-04T00:00:00Z Afkhami-Jeddi, Nima Cohn, Henry Hartman, Thomas de Laat, David Tajdini, Amirhossein https://hdl.handle.net/1721.1/125646 2021-03-05T19:45:18Z 2020-06-03T00:00:00Z

Modular bootstrap data Afkhami-Jeddi, Nima; Cohn, Henry; Hartman, Thomas; de Laat, David; Tajdini, Amirhossein 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 holographic duality" (by Afkhami-Jeddi, Cohn, Hartman, and Tajdini).

2020-06-03T00:00:00Z Cohn, Henry Gonçalves, Felipe https://hdl.handle.net/1721.1/118165 2019-04-14T16:10:51Z 2018-09-24T00:00:00Z

Data for "An optimal uncertainty principle in twelve dimensions via modular forms" Cohn, Henry; Gonçalves, Felipe 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 the URL https://arXiv.org/abs/1712.04438).

2018-09-24T00:00:00Z