Information on Result #522212
There is no (34, 127, 141)-net in base 4, because extracting embedded orthogonal array would yield OA(4127, 141, S4, 93), but
- the linear programming bound shows that M ≥ 146 430564 889104 392909 100261 013841 119930 853683 468983 778269 356582 857126 296146 058611 261440 / 5003 564797 > 4127 [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 (34, 128, 141)-net in base 4 | [i] | m-Reduction | |
| 2 | No (34, 129, 141)-net in base 4 | [i] | ||
| 3 | No (34, 130, 141)-net in base 4 | [i] | ||
| 4 | No (34, 131, 141)-net in base 4 | [i] | ||
| 5 | No (34, 132, 141)-net in base 4 | [i] | ||
| 6 | No (34, 133, 141)-net in base 4 | [i] | ||
| 7 | No (34, 134, 141)-net in base 4 | [i] | ||
| 8 | No (34, 135, 141)-net in base 4 | [i] | ||
| 9 | No (34, 136, 141)-net in base 4 | [i] | ||
| 10 | No (34, 137, 141)-net in base 4 | [i] | ||
| 11 | No (34, 138, 141)-net in base 4 | [i] | ||
| 12 | No (34, 139, 141)-net in base 4 | [i] | ||
| 13 | No (34, 140, 141)-net in base 4 | [i] | ||
| 14 | No (34, 141, 141)-net in base 4 | [i] | ||
| 15 | No (34, 142, 141)-net in base 4 | [i] | ||
| 16 | No (34, 143, 141)-net in base 4 | [i] | ||
| 17 | No (34, 144, 141)-net in base 4 | [i] | ||
| 18 | No (34, 145, 141)-net in base 4 | [i] | ||
| 19 | No (34, 146, 141)-net in base 4 | [i] | ||
| 20 | No (34, 147, 141)-net in base 4 | [i] | ||
| 21 | No (34, 148, 141)-net in base 4 | [i] | ||
| 22 | No (34, 149, 141)-net in base 4 | [i] | ||
| 23 | No (34, 150, 141)-net in base 4 | [i] | ||
| 24 | No (34, 151, 141)-net in base 4 | [i] | ||
| 25 | No (34, 152, 141)-net in base 4 | [i] | ||
| 26 | No (34, 153, 141)-net in base 4 | [i] | ||
| 27 | No (34, 154, 141)-net in base 4 | [i] | ||
| 28 | No (34, 155, 141)-net in base 4 | [i] | ||
| 29 | No (34, 156, 141)-net in base 4 | [i] | ||
| 30 | No (34, 157, 141)-net in base 4 | [i] | ||
| 31 | No (34, 158, 141)-net in base 4 | [i] | ||
| 32 | No (34, 159, 141)-net in base 4 | [i] | ||
| 33 | No (34, 160, 141)-net in base 4 | [i] | ||
| 34 | No (34, 161, 141)-net in base 4 | [i] | ||
| 35 | No (34, 162, 141)-net in base 4 | [i] | ||
| 36 | No (34, 163, 141)-net in base 4 | [i] | ||
| 37 | No (34, 164, 141)-net in base 4 | [i] | ||
| 38 | No (34, 165, 141)-net in base 4 | [i] | ||
| 39 | No (34, 166, 141)-net in base 4 | [i] | ||
| 40 | No (34, 167, 141)-net in base 4 | [i] | ||
| 41 | No (34, 168, 141)-net in base 4 | [i] | ||
| 42 | No (34, 169, 141)-net in base 4 | [i] | ||
| 43 | No (34, 170, 141)-net in base 4 | [i] | ||
| 44 | No (34, 171, 141)-net in base 4 | [i] | ||
| 45 | No (34, 172, 141)-net in base 4 | [i] | ||
| 46 | No (34, 173, 141)-net in base 4 | [i] | ||
| 47 | No (34, 174, 141)-net in base 4 | [i] | ||
| 48 | No (34, 175, 141)-net in base 4 | [i] | ||
| 49 | No (34, 176, 141)-net in base 4 | [i] | ||
| 50 | No (34, 177, 141)-net in base 4 | [i] | ||
| 51 | No (34, 178, 141)-net in base 4 | [i] | ||
| 52 | No (34, 179, 141)-net in base 4 | [i] | ||
| 53 | No (34, 180, 141)-net in base 4 | [i] | ||
| 54 | No (34, 181, 141)-net in base 4 | [i] | ||
| 55 | No (34, 182, 141)-net in base 4 | [i] | ||
| 56 | No (34, 183, 141)-net in base 4 | [i] | ||
| 57 | No (34, 184, 141)-net in base 4 | [i] | ||
| 58 | No (34, 185, 141)-net in base 4 | [i] | ||
| 59 | No (34, 186, 141)-net in base 4 | [i] | ||
| 60 | No (34, 187, 141)-net in base 4 | [i] | ||
| 61 | No (34, 188, 141)-net in base 4 | [i] | ||
| 62 | No (34, 189, 141)-net in base 4 | [i] | ||
| 63 | No (34, 190, 141)-net in base 4 | [i] | ||
| 64 | No (34, 191, 141)-net in base 4 | [i] | ||
| 65 | No (34, 192, 141)-net in base 4 | [i] | ||
| 66 | No (34, 193, 141)-net in base 4 | [i] | ||
| 67 | No (34, 194, 141)-net in base 4 | [i] | ||
| 68 | No (34, 195, 141)-net in base 4 | [i] | ||
| 69 | No (34, 196, 141)-net in base 4 | [i] | ||
| 70 | No (34, 197, 141)-net in base 4 | [i] | ||
| 71 | No (34, 198, 141)-net in base 4 | [i] | ||
| 72 | No (34, 199, 141)-net in base 4 | [i] | ||
| 73 | No (34, 200, 141)-net in base 4 | [i] | ||
| 74 | No (34, 201, 141)-net in base 4 | [i] | ||
| 75 | No (34, 202, 141)-net in base 4 | [i] | ||
| 76 | No (34, 203, 141)-net in base 4 | [i] | ||
| 77 | No (34, 204, 141)-net in base 4 | [i] | ||
| 78 | No (34, 205, 141)-net in base 4 | [i] | ||
| 79 | No (34, 206, 141)-net in base 4 | [i] | ||
| 80 | No (34, 207, 141)-net in base 4 | [i] | ||
| 81 | No (34, 208, 141)-net in base 4 | [i] | ||
| 82 | No (34, 209, 141)-net in base 4 | [i] | ||
| 83 | No (34, 210, 141)-net in base 4 | [i] | ||
| 84 | No (34, 211, 141)-net in base 4 | [i] | ||
| 85 | No (34, 212, 141)-net in base 4 | [i] | ||
| 86 | No (34, 213, 141)-net in base 4 | [i] | ||
| 87 | No (34, 214, 141)-net in base 4 | [i] | ||
| 88 | No (34, 215, 141)-net in base 4 | [i] | ||
| 89 | No (34, 216, 141)-net in base 4 | [i] | ||
| 90 | No (34, 217, 141)-net in base 4 | [i] | ||
| 91 | No (34, 218, 141)-net in base 4 | [i] | ||
| 92 | No (34, 219, 141)-net in base 4 | [i] | ||
| 93 | No (34, 220, 141)-net in base 4 | [i] | ||
| 94 | No (34, 221, 141)-net in base 4 | [i] | ||
| 95 | No (34, 222, 141)-net in base 4 | [i] | ||
| 96 | No (34, 223, 141)-net in base 4 | [i] | ||
| 97 | No (34, 224, 141)-net in base 4 | [i] | ||
| 98 | No (34, 225, 141)-net in base 4 | [i] | ||
| 99 | No (34, 226, 141)-net in base 4 | [i] | ||
| 100 | No (34, 227, 141)-net in base 4 | [i] | ||
| 101 | No (34, 228, 141)-net in base 4 | [i] | ||
| 102 | No (34, 229, 141)-net in base 4 | [i] | ||
| 103 | No (34, 230, 141)-net in base 4 | [i] | ||
| 104 | No (34, 231, 141)-net in base 4 | [i] | ||
| 105 | No (34, 232, 141)-net in base 4 | [i] | ||
| 106 | No (34, 233, 141)-net in base 4 | [i] | ||
| 107 | No (34, 234, 141)-net in base 4 | [i] | ||
| 108 | No (34, 235, 141)-net in base 4 | [i] | ||
| 109 | No (34, 236, 141)-net in base 4 | [i] | ||
| 110 | No (34, 237, 141)-net in base 4 | [i] | ||