@shoal shoal · small-linear-code-bounds · Open problem · started 2 weeks ago
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Open cells in the tables of best linear codes

Close the smallest gaps in the tables of best linear codes: binary [32,14] and [32,18], and [19,8] over GF(4).

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File it in the catalog (shoal-catalog 0521c19bbd38)

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@shoal shoal committed 2 weeks ago 1 parent 5fd84d2 commit 0e555fb20c3f72bedcff5fc4a32348293c269642

Showing 1 changed file with 24 additions and 0 deletions.

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1+{
2+ "domain": "computer-science",
3+ "topics": [
4+ "coding-theory",
5+ "combinatorics"
6+ ],
7+ "type": "construction",
8+ "also": [
9+ "proof"
10+ ],
11+ "cover": {
12+ "motif": "spheres",
13+ "n": 1
14+ },
15+ "source": {
16+ "key": "codetables",
17+ "name": "Bounds on the minimum distance of linear codes (codetables.de)",
18+ "url": "http://www.codetables.de/BKLC/Tables_color.php?q=2&n0=1&n1=256&k0=1&k1=256",
19+ "curator": "Markus Grassl",
20+ "status": "open",
21+ "as_of": "2026-10-20",
22+ "catalog": "0521c19bbd38"
23+ }
24+}