Information on Result #522151
There is no (28, 105, 119)-net in base 4, because extracting embedded orthogonal array would yield OA(4105, 119, S4, 77), but
- the linear programming bound shows that M ≥ 14740 350840 264612 307734 190498 827983 070811 108713 024058 004043 398903 758848 / 8 431225 > 4105 [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 (28, 106, 119)-net in base 4 | [i] | m-Reduction | |
| 2 | No (28, 107, 119)-net in base 4 | [i] | ||
| 3 | No (28, 108, 119)-net in base 4 | [i] | ||
| 4 | No (28, 109, 119)-net in base 4 | [i] | ||
| 5 | No (28, 110, 119)-net in base 4 | [i] | ||
| 6 | No (28, 111, 119)-net in base 4 | [i] | ||
| 7 | No (28, 112, 119)-net in base 4 | [i] | ||
| 8 | No (28, 113, 119)-net in base 4 | [i] | ||
| 9 | No (28, 114, 119)-net in base 4 | [i] | ||
| 10 | No (28, 115, 119)-net in base 4 | [i] | ||
| 11 | No (28, 116, 119)-net in base 4 | [i] | ||
| 12 | No (28, 117, 119)-net in base 4 | [i] | ||
| 13 | No (28, 118, 119)-net in base 4 | [i] | ||
| 14 | No (28, 119, 119)-net in base 4 | [i] | ||
| 15 | No (28, 120, 119)-net in base 4 | [i] | ||
| 16 | No (28, 121, 119)-net in base 4 | [i] | ||
| 17 | No (28, 122, 119)-net in base 4 | [i] | ||
| 18 | No (28, 123, 119)-net in base 4 | [i] | ||
| 19 | No (28, 124, 119)-net in base 4 | [i] | ||
| 20 | No (28, 125, 119)-net in base 4 | [i] | ||
| 21 | No (28, 126, 119)-net in base 4 | [i] | ||
| 22 | No (28, 127, 119)-net in base 4 | [i] | ||
| 23 | No (28, 128, 119)-net in base 4 | [i] | ||
| 24 | No (28, 129, 119)-net in base 4 | [i] | ||
| 25 | No (28, 130, 119)-net in base 4 | [i] | ||
| 26 | No (28, 131, 119)-net in base 4 | [i] | ||
| 27 | No (28, 132, 119)-net in base 4 | [i] | ||
| 28 | No (28, 133, 119)-net in base 4 | [i] | ||
| 29 | No (28, 134, 119)-net in base 4 | [i] | ||
| 30 | No (28, 135, 119)-net in base 4 | [i] | ||
| 31 | No (28, 136, 119)-net in base 4 | [i] | ||
| 32 | No (28, 137, 119)-net in base 4 | [i] | ||
| 33 | No (28, 138, 119)-net in base 4 | [i] | ||
| 34 | No (28, 139, 119)-net in base 4 | [i] | ||
| 35 | No (28, 140, 119)-net in base 4 | [i] | ||
| 36 | No (28, 141, 119)-net in base 4 | [i] | ||
| 37 | No (28, 142, 119)-net in base 4 | [i] | ||
| 38 | No (28, 143, 119)-net in base 4 | [i] | ||
| 39 | No (28, 144, 119)-net in base 4 | [i] | ||
| 40 | No (28, 145, 119)-net in base 4 | [i] | ||
| 41 | No (28, 146, 119)-net in base 4 | [i] | ||
| 42 | No (28, 147, 119)-net in base 4 | [i] | ||
| 43 | No (28, 148, 119)-net in base 4 | [i] | ||
| 44 | No (28, 149, 119)-net in base 4 | [i] | ||
| 45 | No (28, 150, 119)-net in base 4 | [i] | ||
| 46 | No (28, 151, 119)-net in base 4 | [i] | ||
| 47 | No (28, 152, 119)-net in base 4 | [i] | ||
| 48 | No (28, 153, 119)-net in base 4 | [i] | ||
| 49 | No (28, 154, 119)-net in base 4 | [i] | ||
| 50 | No (28, 155, 119)-net in base 4 | [i] | ||
| 51 | No (28, 156, 119)-net in base 4 | [i] | ||
| 52 | No (28, 157, 119)-net in base 4 | [i] | ||
| 53 | No (28, 158, 119)-net in base 4 | [i] | ||
| 54 | No (28, 159, 119)-net in base 4 | [i] | ||
| 55 | No (28, 160, 119)-net in base 4 | [i] | ||
| 56 | No (28, 161, 119)-net in base 4 | [i] | ||
| 57 | No (28, 162, 119)-net in base 4 | [i] | ||
| 58 | No (28, 163, 119)-net in base 4 | [i] | ||
| 59 | No (28, 164, 119)-net in base 4 | [i] | ||
| 60 | No (28, 165, 119)-net in base 4 | [i] | ||
| 61 | No (28, 166, 119)-net in base 4 | [i] | ||
| 62 | No (28, 167, 119)-net in base 4 | [i] | ||
| 63 | No (28, 168, 119)-net in base 4 | [i] | ||
| 64 | No (28, 169, 119)-net in base 4 | [i] | ||
| 65 | No (28, 170, 119)-net in base 4 | [i] | ||
| 66 | No (28, 171, 119)-net in base 4 | [i] | ||
| 67 | No (28, 172, 119)-net in base 4 | [i] | ||
| 68 | No (28, 173, 119)-net in base 4 | [i] | ||
| 69 | No (28, 174, 119)-net in base 4 | [i] | ||
| 70 | No (28, 175, 119)-net in base 4 | [i] | ||
| 71 | No (28, 176, 119)-net in base 4 | [i] | ||
| 72 | No (28, 177, 119)-net in base 4 | [i] | ||
| 73 | No (28, 178, 119)-net in base 4 | [i] | ||
| 74 | No (28, 179, 119)-net in base 4 | [i] | ||
| 75 | No (28, 180, 119)-net in base 4 | [i] | ||
| 76 | No (28, 181, 119)-net in base 4 | [i] | ||
| 77 | No (28, 182, 119)-net in base 4 | [i] | ||
| 78 | No (28, 183, 119)-net in base 4 | [i] | ||
| 79 | No (28, 184, 119)-net in base 4 | [i] | ||
| 80 | No (28, 185, 119)-net in base 4 | [i] | ||
| 81 | No (28, 186, 119)-net in base 4 | [i] | ||
| 82 | No (28, 187, 119)-net in base 4 | [i] | ||
| 83 | No (28, 188, 119)-net in base 4 | [i] | ||
| 84 | No (28, 189, 119)-net in base 4 | [i] | ||
| 85 | No (28, 190, 119)-net in base 4 | [i] | ||
| 86 | No (28, 191, 119)-net in base 4 | [i] | ||
| 87 | No (28, 192, 119)-net in base 4 | [i] | ||
| 88 | No (28, 193, 119)-net in base 4 | [i] | ||
| 89 | No (28, 194, 119)-net in base 4 | [i] | ||
| 90 | No (28, 195, 119)-net in base 4 | [i] | ||
| 91 | No (28, 196, 119)-net in base 4 | [i] | ||
| 92 | No (28, 197, 119)-net in base 4 | [i] | ||
| 93 | No (28, 198, 119)-net in base 4 | [i] | ||
| 94 | No (28, 199, 119)-net in base 4 | [i] | ||