Information on Result #521965
There is no (18, 72, 82)-net in base 4, because extracting embedded orthogonal array would yield OA(472, 82, S4, 54), but
- the linear programming bound shows that M ≥ 258 868477 512236 179386 827675 994871 629856 557051 674624 / 8 133191 > 472 [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 (18, 73, 82)-net in base 4 | [i] | m-Reduction | |
| 2 | No (18, 74, 82)-net in base 4 | [i] | ||
| 3 | No (18, 75, 82)-net in base 4 | [i] | ||
| 4 | No (18, 76, 82)-net in base 4 | [i] | ||
| 5 | No (18, 77, 82)-net in base 4 | [i] | ||
| 6 | No (18, 78, 82)-net in base 4 | [i] | ||
| 7 | No (18, 79, 82)-net in base 4 | [i] | ||
| 8 | No (18, 80, 82)-net in base 4 | [i] | ||
| 9 | No (18, 81, 82)-net in base 4 | [i] | ||
| 10 | No (18, 82, 82)-net in base 4 | [i] | ||
| 11 | No (18, 83, 82)-net in base 4 | [i] | ||
| 12 | No (18, 84, 82)-net in base 4 | [i] | ||
| 13 | No (18, 85, 82)-net in base 4 | [i] | ||
| 14 | No (18, 86, 82)-net in base 4 | [i] | ||
| 15 | No (18, 87, 82)-net in base 4 | [i] | ||
| 16 | No (18, 88, 82)-net in base 4 | [i] | ||
| 17 | No (18, 89, 82)-net in base 4 | [i] | ||
| 18 | No (18, 90, 82)-net in base 4 | [i] | ||
| 19 | No (18, 91, 82)-net in base 4 | [i] | ||
| 20 | No (18, 92, 82)-net in base 4 | [i] | ||
| 21 | No (18, 93, 82)-net in base 4 | [i] | ||
| 22 | No (18, 94, 82)-net in base 4 | [i] | ||
| 23 | No (18, 95, 82)-net in base 4 | [i] | ||
| 24 | No (18, 96, 82)-net in base 4 | [i] | ||
| 25 | No (18, 97, 82)-net in base 4 | [i] | ||
| 26 | No (18, 98, 82)-net in base 4 | [i] | ||
| 27 | No (18, 99, 82)-net in base 4 | [i] | ||
| 28 | No (18, 100, 82)-net in base 4 | [i] | ||
| 29 | No (18, 101, 82)-net in base 4 | [i] | ||
| 30 | No (18, 102, 82)-net in base 4 | [i] | ||
| 31 | No (18, 103, 82)-net in base 4 | [i] | ||
| 32 | No (18, 104, 82)-net in base 4 | [i] | ||
| 33 | No (18, 105, 82)-net in base 4 | [i] | ||
| 34 | No (18, 106, 82)-net in base 4 | [i] | ||
| 35 | No (18, 107, 82)-net in base 4 | [i] | ||
| 36 | No (18, 108, 82)-net in base 4 | [i] | ||
| 37 | No (18, 109, 82)-net in base 4 | [i] | ||
| 38 | No (18, 110, 82)-net in base 4 | [i] | ||
| 39 | No (18, 111, 82)-net in base 4 | [i] | ||
| 40 | No (18, 112, 82)-net in base 4 | [i] | ||
| 41 | No (18, 113, 82)-net in base 4 | [i] | ||
| 42 | No (18, 114, 82)-net in base 4 | [i] | ||
| 43 | No (18, 115, 82)-net in base 4 | [i] | ||
| 44 | No (18, 116, 82)-net in base 4 | [i] | ||
| 45 | No (18, 117, 82)-net in base 4 | [i] | ||
| 46 | No (18, 118, 82)-net in base 4 | [i] | ||
| 47 | No (18, 119, 82)-net in base 4 | [i] | ||
| 48 | No (18, 120, 82)-net in base 4 | [i] | ||
| 49 | No (18, 121, 82)-net in base 4 | [i] | ||
| 50 | No (18, 122, 82)-net in base 4 | [i] | ||
| 51 | No (18, 123, 82)-net in base 4 | [i] | ||
| 52 | No (18, 124, 82)-net in base 4 | [i] | ||
| 53 | No (18, 125, 82)-net in base 4 | [i] | ||
| 54 | No (18, 126, 82)-net in base 4 | [i] | ||
| 55 | No (18, 127, 82)-net in base 4 | [i] | ||
| 56 | No (18, 128, 82)-net in base 4 | [i] | ||
| 57 | No (18, 129, 82)-net in base 4 | [i] | ||
| 58 | No (18, 130, 82)-net in base 4 | [i] | ||
| 59 | No (18, 131, 82)-net in base 4 | [i] | ||
| 60 | No (18, 132, 82)-net in base 4 | [i] | ||
| 61 | No (18, 133, 82)-net in base 4 | [i] | ||