ColbournTables.md

Colbourn tables

Ulrike Grömping February 26, 2025

Purpose

This file gives access to a November 2024 status of the Colbourn tables, as those tables are currently not available to the public at their usual location (see references).

Tables

There is a table for each combination of covering array strength t and number of levels per column (i.e., order) v. The table entries indicate the largest number of columns k for a given run size N or the smallest runs size N required for a given number of columns N based on a known construction, which is hinted at in the column headed “Source”. These tables are a replication of those by Colbourn, as they were available recently (download in November 2024), but are not available at present.

	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25
2	t2v2	t2v3	t2v4	t2v5	t2v6	t2v7	t2v8	t2v9	t2v10	t2v11	t2v12	t2v13	t2v14	t2v15	t2v16	t2v17	t2v18	t2v19	t2v20	t2v21	t2v22	t2v23	t2v24	t2v25
3	t3v2	t3v3	t3v4	t3v5	t3v6	t3v7	t3v8	t3v9	t3v10	t3v11	t3v12	t3v13	t3v14	t3v15	t3v16	t3v17	t3v18	t3v19	t3v20	t3v21	t3v22	t3v23	t3v24	t3v25
4	t4v2	t4v3	t4v4	t4v5	t4v6	t4v7	t4v8	t4v9	t4v10	t4v11	t4v12	t4v13	t4v14	t4v15	t4v16	t4v17	t4v18	t4v19	t4v20	t4v21	t4v22	t4v23	t4v24	t4v25
5	t5v2	t5v3	t5v4	t5v5	t5v6	t5v7	t5v8	t5v9	t5v10	t5v11	t5v12	t5v13	t5v14	t5v15	t5v16	t5v17	t5v18	t5v19	t5v20	t5v21	t5v22	t5v23	t5v24	t5v25
6	t6v2	t6v3	t6v4	t6v5	t6v6	t6v7	t6v8	t6v9	t6v10	t6v11	t6v12	t6v13	t6v14	t6v15	t6v16	t6v17	t6v18	t6v19	t6v20	t6v21	t6v22	t6v23	t6v24	t6v25

References

Colbourn, C.J. (Status November 2024). Covering array tables: 2 ≤v ≤25, 2 ≤t≤6, t≤k ≤10000, 2005–23. https://www.public.asu.edu/~ccolbou/src/tabby

This used to be a public resource, currently www.public.asu.edu is intentionally not public (as stated by the ASU helpdesk), which is the reason for providing the information here.