Kissing numbers

Improve the bounds on kissing numbers in dimensions up to 48, starting with dimension 5, where 40 ≤ τ(5) ≤ 44.

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1	{
2	"domain": "mathematics",
3	"topics": [
4	"discrete-geometry",
5	"coding-theory"
6	],
7	"type": "construction",
8	"also": [
9	"proof"
10	],
11	"cover": {
12	"motif": "spheres",
13	"n": 3
14	},
15	"source": {
16	"key": "spherical-codes",
17	"name": "Kissing numbers and spherical codes (Henry Cohn)",
18	"url": "https://cohn.mit.edu/kissing-numbers",
19	"curator": "Henry Cohn",
20	"status": "open",
21	"as_of": "2026-10-20",
22	"catalog": "0521c19bbd38"
23	},
24	"review": true,
25	"approval": "first-time"
26	}