Information on Result #522094
There is no (24, 94, 104)-net in base 4, because extracting embedded orthogonal array would yield OA(494, 104, S4, 70), but
- the linear programming bound shows that M ≥ 2905 343984 020254 418179 867462 952821 985360 143012 759289 446224 887808 / 6 994423 > 494 [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 (24, 95, 104)-net in base 4 | [i] | m-Reduction | |
| 2 | No (24, 96, 104)-net in base 4 | [i] | ||
| 3 | No (24, 97, 104)-net in base 4 | [i] | ||
| 4 | No (24, 98, 104)-net in base 4 | [i] | ||
| 5 | No (24, 99, 104)-net in base 4 | [i] | ||
| 6 | No (24, 100, 104)-net in base 4 | [i] | ||
| 7 | No (24, 101, 104)-net in base 4 | [i] | ||
| 8 | No (24, 102, 104)-net in base 4 | [i] | ||
| 9 | No (24, 103, 104)-net in base 4 | [i] | ||
| 10 | No (24, 104, 104)-net in base 4 | [i] | ||
| 11 | No (24, 105, 104)-net in base 4 | [i] | ||
| 12 | No (24, 106, 104)-net in base 4 | [i] | ||
| 13 | No (24, 107, 104)-net in base 4 | [i] | ||
| 14 | No (24, 108, 104)-net in base 4 | [i] | ||
| 15 | No (24, 109, 104)-net in base 4 | [i] | ||
| 16 | No (24, 110, 104)-net in base 4 | [i] | ||
| 17 | No (24, 111, 104)-net in base 4 | [i] | ||
| 18 | No (24, 112, 104)-net in base 4 | [i] | ||
| 19 | No (24, 113, 104)-net in base 4 | [i] | ||
| 20 | No (24, 114, 104)-net in base 4 | [i] | ||
| 21 | No (24, 115, 104)-net in base 4 | [i] | ||
| 22 | No (24, 116, 104)-net in base 4 | [i] | ||
| 23 | No (24, 117, 104)-net in base 4 | [i] | ||
| 24 | No (24, 118, 104)-net in base 4 | [i] | ||
| 25 | No (24, 119, 104)-net in base 4 | [i] | ||
| 26 | No (24, 120, 104)-net in base 4 | [i] | ||
| 27 | No (24, 121, 104)-net in base 4 | [i] | ||
| 28 | No (24, 122, 104)-net in base 4 | [i] | ||
| 29 | No (24, 123, 104)-net in base 4 | [i] | ||
| 30 | No (24, 124, 104)-net in base 4 | [i] | ||
| 31 | No (24, 125, 104)-net in base 4 | [i] | ||
| 32 | No (24, 126, 104)-net in base 4 | [i] | ||
| 33 | No (24, 127, 104)-net in base 4 | [i] | ||
| 34 | No (24, 128, 104)-net in base 4 | [i] | ||
| 35 | No (24, 129, 104)-net in base 4 | [i] | ||
| 36 | No (24, 130, 104)-net in base 4 | [i] | ||
| 37 | No (24, 131, 104)-net in base 4 | [i] | ||
| 38 | No (24, 132, 104)-net in base 4 | [i] | ||
| 39 | No (24, 133, 104)-net in base 4 | [i] | ||
| 40 | No (24, 134, 104)-net in base 4 | [i] | ||
| 41 | No (24, 135, 104)-net in base 4 | [i] | ||
| 42 | No (24, 136, 104)-net in base 4 | [i] | ||
| 43 | No (24, 137, 104)-net in base 4 | [i] | ||
| 44 | No (24, 138, 104)-net in base 4 | [i] | ||
| 45 | No (24, 139, 104)-net in base 4 | [i] | ||
| 46 | No (24, 140, 104)-net in base 4 | [i] | ||
| 47 | No (24, 141, 104)-net in base 4 | [i] | ||
| 48 | No (24, 142, 104)-net in base 4 | [i] | ||
| 49 | No (24, 143, 104)-net in base 4 | [i] | ||
| 50 | No (24, 144, 104)-net in base 4 | [i] | ||
| 51 | No (24, 145, 104)-net in base 4 | [i] | ||
| 52 | No (24, 146, 104)-net in base 4 | [i] | ||
| 53 | No (24, 147, 104)-net in base 4 | [i] | ||
| 54 | No (24, 148, 104)-net in base 4 | [i] | ||
| 55 | No (24, 149, 104)-net in base 4 | [i] | ||
| 56 | No (24, 150, 104)-net in base 4 | [i] | ||
| 57 | No (24, 151, 104)-net in base 4 | [i] | ||
| 58 | No (24, 152, 104)-net in base 4 | [i] | ||
| 59 | No (24, 153, 104)-net in base 4 | [i] | ||
| 60 | No (24, 154, 104)-net in base 4 | [i] | ||
| 61 | No (24, 155, 104)-net in base 4 | [i] | ||
| 62 | No (24, 156, 104)-net in base 4 | [i] | ||
| 63 | No (24, 157, 104)-net in base 4 | [i] | ||
| 64 | No (24, 158, 104)-net in base 4 | [i] | ||
| 65 | No (24, 159, 104)-net in base 4 | [i] | ||
| 66 | No (24, 160, 104)-net in base 4 | [i] | ||
| 67 | No (24, 161, 104)-net in base 4 | [i] | ||
| 68 | No (24, 162, 104)-net in base 4 | [i] | ||
| 69 | No (24, 163, 104)-net in base 4 | [i] | ||
| 70 | No (24, 164, 104)-net in base 4 | [i] | ||
| 71 | No (24, 165, 104)-net in base 4 | [i] | ||
| 72 | No (24, 166, 104)-net in base 4 | [i] | ||
| 73 | No (24, 167, 104)-net in base 4 | [i] | ||
| 74 | No (24, 168, 104)-net in base 4 | [i] | ||
| 75 | No (24, 169, 104)-net in base 4 | [i] | ||
| 76 | No (24, 170, 104)-net in base 4 | [i] | ||
| 77 | No (24, 171, 104)-net in base 4 | [i] | ||
| 78 | No (24, 172, 104)-net in base 4 | [i] | ||
| 79 | No (24, 173, 104)-net in base 4 | [i] | ||