Information on Result #521911
There is no (15, 63, 70)-net in base 4, because extracting embedded orthogonal array would yield OA(463, 70, S4, 48), but
- the linear programming bound shows that M ≥ 87112 285931 760246 646623 899502 532662 132736 / 931 > 463 [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 (15, 64, 70)-net in base 4 | [i] | m-Reduction | |
| 2 | No (15, 65, 70)-net in base 4 | [i] | ||
| 3 | No (15, 66, 70)-net in base 4 | [i] | ||
| 4 | No (15, 67, 70)-net in base 4 | [i] | ||
| 5 | No (15, 68, 70)-net in base 4 | [i] | ||
| 6 | No (15, 69, 70)-net in base 4 | [i] | ||
| 7 | No (15, 70, 70)-net in base 4 | [i] | ||
| 8 | No (15, 71, 70)-net in base 4 | [i] | ||
| 9 | No (15, 72, 70)-net in base 4 | [i] | ||
| 10 | No (15, 73, 70)-net in base 4 | [i] | ||
| 11 | No (15, 74, 70)-net in base 4 | [i] | ||
| 12 | No (15, 75, 70)-net in base 4 | [i] | ||
| 13 | No (15, 76, 70)-net in base 4 | [i] | ||
| 14 | No (15, 77, 70)-net in base 4 | [i] | ||
| 15 | No (15, 78, 70)-net in base 4 | [i] | ||
| 16 | No (15, 79, 70)-net in base 4 | [i] | ||
| 17 | No (15, 80, 70)-net in base 4 | [i] | ||
| 18 | No (15, 81, 70)-net in base 4 | [i] | ||
| 19 | No (15, 82, 70)-net in base 4 | [i] | ||
| 20 | No (15, 83, 70)-net in base 4 | [i] | ||
| 21 | No (15, 84, 70)-net in base 4 | [i] | ||
| 22 | No (15, 85, 70)-net in base 4 | [i] | ||
| 23 | No (15, 86, 70)-net in base 4 | [i] | ||
| 24 | No (15, 87, 70)-net in base 4 | [i] | ||
| 25 | No (15, 88, 70)-net in base 4 | [i] | ||
| 26 | No (15, 89, 70)-net in base 4 | [i] | ||
| 27 | No (15, 90, 70)-net in base 4 | [i] | ||
| 28 | No (15, 91, 70)-net in base 4 | [i] | ||
| 29 | No (15, 92, 70)-net in base 4 | [i] | ||
| 30 | No (15, 93, 70)-net in base 4 | [i] | ||
| 31 | No (15, 94, 70)-net in base 4 | [i] | ||
| 32 | No (15, 95, 70)-net in base 4 | [i] | ||
| 33 | No (15, 96, 70)-net in base 4 | [i] | ||
| 34 | No (15, 97, 70)-net in base 4 | [i] | ||
| 35 | No (15, 98, 70)-net in base 4 | [i] | ||
| 36 | No (15, 99, 70)-net in base 4 | [i] | ||
| 37 | No (15, 100, 70)-net in base 4 | [i] | ||
| 38 | No (15, 101, 70)-net in base 4 | [i] | ||
| 39 | No (15, 102, 70)-net in base 4 | [i] | ||
| 40 | No (15, 103, 70)-net in base 4 | [i] | ||
| 41 | No (15, 104, 70)-net in base 4 | [i] | ||
| 42 | No (15, 105, 70)-net in base 4 | [i] | ||
| 43 | No (15, 106, 70)-net in base 4 | [i] | ||
| 44 | No (15, 107, 70)-net in base 4 | [i] | ||
| 45 | No (15, 108, 70)-net in base 4 | [i] | ||
| 46 | No (15, 109, 70)-net in base 4 | [i] | ||
| 47 | No (15, 110, 70)-net in base 4 | [i] | ||
| 48 | No (15, 111, 70)-net in base 4 | [i] | ||
| 49 | No (15, 112, 70)-net in base 4 | [i] | ||
| 50 | No (15, 113, 70)-net in base 4 | [i] | ||