Information on Result #521801
There is no (6, 29, 34)-net in base 4, because extracting embedded orthogonal array would yield OA(429, 34, S4, 23), but
- the linear programming bound shows that M ≥ 129 127208 515966 861312 / 435 > 429 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (6, 30, 34)-net in base 4 | [i] | m-Reduction | |
| 2 | No (6, 31, 34)-net in base 4 | [i] | ||
| 3 | No (6, 32, 34)-net in base 4 | [i] | ||
| 4 | No (6, 33, 34)-net in base 4 | [i] | ||
| 5 | No (6, 34, 34)-net in base 4 | [i] | ||
| 6 | No (6, 35, 34)-net in base 4 | [i] | ||
| 7 | No (6, 36, 34)-net in base 4 | [i] | ||
| 8 | No (6, 37, 34)-net in base 4 | [i] | ||
| 9 | No (6, 38, 34)-net in base 4 | [i] | ||
| 10 | No (6, 39, 34)-net in base 4 | [i] | ||
| 11 | No (6, 40, 34)-net in base 4 | [i] | ||
| 12 | No (6, 41, 34)-net in base 4 | [i] | ||
| 13 | No (6, 42, 34)-net in base 4 | [i] | ||
| 14 | No (6, 43, 34)-net in base 4 | [i] | ||
| 15 | No (6, 44, 34)-net in base 4 | [i] | ||
| 16 | No (6, 45, 34)-net in base 4 | [i] | ||
| 17 | No (6, 46, 34)-net in base 4 | [i] | ||
| 18 | No (6, 47, 34)-net in base 4 | [i] | ||
| 19 | No (6, 48, 34)-net in base 4 | [i] | ||
| 20 | No (6, 49, 34)-net in base 4 | [i] | ||
| 21 | No (6, 50, 34)-net in base 4 | [i] | ||
| 22 | No (6, 51, 34)-net in base 4 | [i] | ||
| 23 | No (6, 52, 34)-net in base 4 | [i] | ||
| 24 | No (6, 53, 34)-net in base 4 | [i] | ||
| 25 | No (6, 54, 34)-net in base 4 | [i] | ||