Information on Result #522111
There is no (25, 97, 108)-net in base 4, because extracting embedded orthogonal array would yield OA(497, 108, S4, 72), but
- the linear programming bound shows that M ≥ 9230 252126 223640 142713 030258 407637 988887 533996 288362 045971 103744 / 357335 > 497 [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 (25, 98, 108)-net in base 4 | [i] | m-Reduction | |
| 2 | No (25, 99, 108)-net in base 4 | [i] | ||
| 3 | No (25, 100, 108)-net in base 4 | [i] | ||
| 4 | No (25, 101, 108)-net in base 4 | [i] | ||
| 5 | No (25, 102, 108)-net in base 4 | [i] | ||
| 6 | No (25, 103, 108)-net in base 4 | [i] | ||
| 7 | No (25, 104, 108)-net in base 4 | [i] | ||
| 8 | No (25, 105, 108)-net in base 4 | [i] | ||
| 9 | No (25, 106, 108)-net in base 4 | [i] | ||
| 10 | No (25, 107, 108)-net in base 4 | [i] | ||
| 11 | No (25, 108, 108)-net in base 4 | [i] | ||
| 12 | No (25, 109, 108)-net in base 4 | [i] | ||
| 13 | No (25, 110, 108)-net in base 4 | [i] | ||
| 14 | No (25, 111, 108)-net in base 4 | [i] | ||
| 15 | No (25, 112, 108)-net in base 4 | [i] | ||
| 16 | No (25, 113, 108)-net in base 4 | [i] | ||
| 17 | No (25, 114, 108)-net in base 4 | [i] | ||
| 18 | No (25, 115, 108)-net in base 4 | [i] | ||
| 19 | No (25, 116, 108)-net in base 4 | [i] | ||
| 20 | No (25, 117, 108)-net in base 4 | [i] | ||
| 21 | No (25, 118, 108)-net in base 4 | [i] | ||
| 22 | No (25, 119, 108)-net in base 4 | [i] | ||
| 23 | No (25, 120, 108)-net in base 4 | [i] | ||
| 24 | No (25, 121, 108)-net in base 4 | [i] | ||
| 25 | No (25, 122, 108)-net in base 4 | [i] | ||
| 26 | No (25, 123, 108)-net in base 4 | [i] | ||
| 27 | No (25, 124, 108)-net in base 4 | [i] | ||
| 28 | No (25, 125, 108)-net in base 4 | [i] | ||
| 29 | No (25, 126, 108)-net in base 4 | [i] | ||
| 30 | No (25, 127, 108)-net in base 4 | [i] | ||
| 31 | No (25, 128, 108)-net in base 4 | [i] | ||
| 32 | No (25, 129, 108)-net in base 4 | [i] | ||
| 33 | No (25, 130, 108)-net in base 4 | [i] | ||
| 34 | No (25, 131, 108)-net in base 4 | [i] | ||
| 35 | No (25, 132, 108)-net in base 4 | [i] | ||
| 36 | No (25, 133, 108)-net in base 4 | [i] | ||
| 37 | No (25, 134, 108)-net in base 4 | [i] | ||
| 38 | No (25, 135, 108)-net in base 4 | [i] | ||
| 39 | No (25, 136, 108)-net in base 4 | [i] | ||
| 40 | No (25, 137, 108)-net in base 4 | [i] | ||
| 41 | No (25, 138, 108)-net in base 4 | [i] | ||
| 42 | No (25, 139, 108)-net in base 4 | [i] | ||
| 43 | No (25, 140, 108)-net in base 4 | [i] | ||
| 44 | No (25, 141, 108)-net in base 4 | [i] | ||
| 45 | No (25, 142, 108)-net in base 4 | [i] | ||
| 46 | No (25, 143, 108)-net in base 4 | [i] | ||
| 47 | No (25, 144, 108)-net in base 4 | [i] | ||
| 48 | No (25, 145, 108)-net in base 4 | [i] | ||
| 49 | No (25, 146, 108)-net in base 4 | [i] | ||
| 50 | No (25, 147, 108)-net in base 4 | [i] | ||
| 51 | No (25, 148, 108)-net in base 4 | [i] | ||
| 52 | No (25, 149, 108)-net in base 4 | [i] | ||
| 53 | No (25, 150, 108)-net in base 4 | [i] | ||
| 54 | No (25, 151, 108)-net in base 4 | [i] | ||
| 55 | No (25, 152, 108)-net in base 4 | [i] | ||
| 56 | No (25, 153, 108)-net in base 4 | [i] | ||
| 57 | No (25, 154, 108)-net in base 4 | [i] | ||
| 58 | No (25, 155, 108)-net in base 4 | [i] | ||
| 59 | No (25, 156, 108)-net in base 4 | [i] | ||
| 60 | No (25, 157, 108)-net in base 4 | [i] | ||
| 61 | No (25, 158, 108)-net in base 4 | [i] | ||
| 62 | No (25, 159, 108)-net in base 4 | [i] | ||
| 63 | No (25, 160, 108)-net in base 4 | [i] | ||
| 64 | No (25, 161, 108)-net in base 4 | [i] | ||
| 65 | No (25, 162, 108)-net in base 4 | [i] | ||
| 66 | No (25, 163, 108)-net in base 4 | [i] | ||
| 67 | No (25, 164, 108)-net in base 4 | [i] | ||
| 68 | No (25, 165, 108)-net in base 4 | [i] | ||
| 69 | No (25, 166, 108)-net in base 4 | [i] | ||
| 70 | No (25, 167, 108)-net in base 4 | [i] | ||
| 71 | No (25, 168, 108)-net in base 4 | [i] | ||
| 72 | No (25, 169, 108)-net in base 4 | [i] | ||
| 73 | No (25, 170, 108)-net in base 4 | [i] | ||
| 74 | No (25, 171, 108)-net in base 4 | [i] | ||
| 75 | No (25, 172, 108)-net in base 4 | [i] | ||
| 76 | No (25, 173, 108)-net in base 4 | [i] | ||
| 77 | No (25, 174, 108)-net in base 4 | [i] | ||
| 78 | No (25, 175, 108)-net in base 4 | [i] | ||
| 79 | No (25, 176, 108)-net in base 4 | [i] | ||
| 80 | No (25, 177, 108)-net in base 4 | [i] | ||
| 81 | No (25, 178, 108)-net in base 4 | [i] | ||
| 82 | No (25, 179, 108)-net in base 4 | [i] | ||