Information on Result #522585
There is no (16, 79, 88)-net in base 5, because extracting embedded orthogonal array would yield OA(579, 88, S5, 63), but
- the linear programming bound shows that M ≥ 2 305765 957491 564643 704051 729145 021454 314701 259136 199951 171875 / 132202 > 579 [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 (16, 80, 88)-net in base 5 | [i] | m-Reduction | |
| 2 | No (16, 81, 88)-net in base 5 | [i] | ||
| 3 | No (16, 82, 88)-net in base 5 | [i] | ||
| 4 | No (16, 83, 88)-net in base 5 | [i] | ||
| 5 | No (16, 84, 88)-net in base 5 | [i] | ||
| 6 | No (16, 85, 88)-net in base 5 | [i] | ||
| 7 | No (16, 86, 88)-net in base 5 | [i] | ||
| 8 | No (16, 87, 88)-net in base 5 | [i] | ||
| 9 | No (16, 88, 88)-net in base 5 | [i] | ||
| 10 | No (16, 89, 88)-net in base 5 | [i] | ||
| 11 | No (16, 90, 88)-net in base 5 | [i] | ||
| 12 | No (16, 91, 88)-net in base 5 | [i] | ||
| 13 | No (16, 92, 88)-net in base 5 | [i] | ||
| 14 | No (16, 93, 88)-net in base 5 | [i] | ||
| 15 | No (16, 94, 88)-net in base 5 | [i] | ||
| 16 | No (16, 95, 88)-net in base 5 | [i] | ||
| 17 | No (16, 96, 88)-net in base 5 | [i] | ||
| 18 | No (16, 97, 88)-net in base 5 | [i] | ||
| 19 | No (16, 98, 88)-net in base 5 | [i] | ||
| 20 | No (16, 99, 88)-net in base 5 | [i] | ||
| 21 | No (16, 100, 88)-net in base 5 | [i] | ||
| 22 | No (16, 101, 88)-net in base 5 | [i] | ||
| 23 | No (16, 102, 88)-net in base 5 | [i] | ||
| 24 | No (16, 103, 88)-net in base 5 | [i] | ||
| 25 | No (16, 104, 88)-net in base 5 | [i] | ||
| 26 | No (16, 105, 88)-net in base 5 | [i] | ||
| 27 | No (16, 106, 88)-net in base 5 | [i] | ||
| 28 | No (16, 107, 88)-net in base 5 | [i] | ||
| 29 | No (16, 108, 88)-net in base 5 | [i] | ||
| 30 | No (16, 109, 88)-net in base 5 | [i] | ||
| 31 | No (16, 110, 88)-net in base 5 | [i] | ||
| 32 | No (16, 111, 88)-net in base 5 | [i] | ||
| 33 | No (16, 112, 88)-net in base 5 | [i] | ||
| 34 | No (16, 113, 88)-net in base 5 | [i] | ||
| 35 | No (16, 114, 88)-net in base 5 | [i] | ||
| 36 | No (16, 115, 88)-net in base 5 | [i] | ||
| 37 | No (16, 116, 88)-net in base 5 | [i] | ||
| 38 | No (16, 117, 88)-net in base 5 | [i] | ||
| 39 | No (16, 118, 88)-net in base 5 | [i] | ||
| 40 | No (16, 119, 88)-net in base 5 | [i] | ||
| 41 | No (16, 120, 88)-net in base 5 | [i] | ||
| 42 | No (16, 121, 88)-net in base 5 | [i] | ||
| 43 | No (16, 122, 88)-net in base 5 | [i] | ||
| 44 | No (16, 123, 88)-net in base 5 | [i] | ||
| 45 | No (16, 124, 88)-net in base 5 | [i] | ||
| 46 | No (16, 125, 88)-net in base 5 | [i] | ||
| 47 | No (16, 126, 88)-net in base 5 | [i] | ||
| 48 | No (16, 127, 88)-net in base 5 | [i] | ||
| 49 | No (16, 128, 88)-net in base 5 | [i] | ||
| 50 | No (16, 129, 88)-net in base 5 | [i] | ||
| 51 | No (16, 130, 88)-net in base 5 | [i] | ||
| 52 | No (16, 131, 88)-net in base 5 | [i] | ||
| 53 | No (16, 132, 88)-net in base 5 | [i] | ||
| 54 | No (16, 133, 88)-net in base 5 | [i] | ||
| 55 | No (16, 134, 88)-net in base 5 | [i] | ||
| 56 | No (16, 135, 88)-net in base 5 | [i] | ||
| 57 | No (16, 136, 88)-net in base 5 | [i] | ||
| 58 | No (16, 137, 88)-net in base 5 | [i] | ||
| 59 | No (16, 138, 88)-net in base 5 | [i] | ||
| 60 | No (16, 139, 88)-net in base 5 | [i] | ||
| 61 | No (16, 140, 88)-net in base 5 | [i] | ||
| 62 | No (16, 141, 88)-net in base 5 | [i] | ||
| 63 | No (16, 142, 88)-net in base 5 | [i] | ||
| 64 | No (16, 143, 88)-net in base 5 | [i] | ||
| 65 | No (16, 144, 88)-net in base 5 | [i] | ||
| 66 | No (16, 145, 88)-net in base 5 | [i] | ||
| 67 | No (16, 146, 88)-net in base 5 | [i] | ||
| 68 | No (16, 147, 88)-net in base 5 | [i] | ||
| 69 | No (16, 148, 88)-net in base 5 | [i] | ||
| 70 | No (16, 149, 88)-net in base 5 | [i] | ||
| 71 | No (16, 150, 88)-net in base 5 | [i] | ||