Information on Result #522173
There is no (30, 110, 127)-net in base 4, because extracting embedded orthogonal array would yield OA(4110, 127, S4, 80), but
- the linear programming bound shows that M ≥ 55085 039250 820115 777364 978223 953006 507131 632610 653977 450063 202675 369573 351424 / 31951 514331 > 4110 [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 (30, 111, 127)-net in base 4 | [i] | m-Reduction | |
| 2 | No (30, 112, 127)-net in base 4 | [i] | ||
| 3 | No (30, 113, 127)-net in base 4 | [i] | ||
| 4 | No (30, 114, 127)-net in base 4 | [i] | ||
| 5 | No (30, 115, 127)-net in base 4 | [i] | ||
| 6 | No (30, 116, 127)-net in base 4 | [i] | ||
| 7 | No (30, 117, 127)-net in base 4 | [i] | ||
| 8 | No (30, 118, 127)-net in base 4 | [i] | ||
| 9 | No (30, 119, 127)-net in base 4 | [i] | ||
| 10 | No (30, 120, 127)-net in base 4 | [i] | ||
| 11 | No (30, 121, 127)-net in base 4 | [i] | ||
| 12 | No (30, 122, 127)-net in base 4 | [i] | ||
| 13 | No (30, 123, 127)-net in base 4 | [i] | ||
| 14 | No (30, 124, 127)-net in base 4 | [i] | ||
| 15 | No (30, 125, 127)-net in base 4 | [i] | ||
| 16 | No (30, 126, 127)-net in base 4 | [i] | ||
| 17 | No (30, 127, 127)-net in base 4 | [i] | ||
| 18 | No (30, 128, 127)-net in base 4 | [i] | ||
| 19 | No (30, 129, 127)-net in base 4 | [i] | ||
| 20 | No (30, 130, 127)-net in base 4 | [i] | ||
| 21 | No (30, 131, 127)-net in base 4 | [i] | ||
| 22 | No (30, 132, 127)-net in base 4 | [i] | ||
| 23 | No (30, 133, 127)-net in base 4 | [i] | ||
| 24 | No (30, 134, 127)-net in base 4 | [i] | ||
| 25 | No (30, 135, 127)-net in base 4 | [i] | ||
| 26 | No (30, 136, 127)-net in base 4 | [i] | ||
| 27 | No (30, 137, 127)-net in base 4 | [i] | ||
| 28 | No (30, 138, 127)-net in base 4 | [i] | ||
| 29 | No (30, 139, 127)-net in base 4 | [i] | ||
| 30 | No (30, 140, 127)-net in base 4 | [i] | ||
| 31 | No (30, 141, 127)-net in base 4 | [i] | ||
| 32 | No (30, 142, 127)-net in base 4 | [i] | ||
| 33 | No (30, 143, 127)-net in base 4 | [i] | ||
| 34 | No (30, 144, 127)-net in base 4 | [i] | ||
| 35 | No (30, 145, 127)-net in base 4 | [i] | ||
| 36 | No (30, 146, 127)-net in base 4 | [i] | ||
| 37 | No (30, 147, 127)-net in base 4 | [i] | ||
| 38 | No (30, 148, 127)-net in base 4 | [i] | ||
| 39 | No (30, 149, 127)-net in base 4 | [i] | ||
| 40 | No (30, 150, 127)-net in base 4 | [i] | ||
| 41 | No (30, 151, 127)-net in base 4 | [i] | ||
| 42 | No (30, 152, 127)-net in base 4 | [i] | ||
| 43 | No (30, 153, 127)-net in base 4 | [i] | ||
| 44 | No (30, 154, 127)-net in base 4 | [i] | ||
| 45 | No (30, 155, 127)-net in base 4 | [i] | ||
| 46 | No (30, 156, 127)-net in base 4 | [i] | ||
| 47 | No (30, 157, 127)-net in base 4 | [i] | ||
| 48 | No (30, 158, 127)-net in base 4 | [i] | ||
| 49 | No (30, 159, 127)-net in base 4 | [i] | ||
| 50 | No (30, 160, 127)-net in base 4 | [i] | ||
| 51 | No (30, 161, 127)-net in base 4 | [i] | ||
| 52 | No (30, 162, 127)-net in base 4 | [i] | ||
| 53 | No (30, 163, 127)-net in base 4 | [i] | ||
| 54 | No (30, 164, 127)-net in base 4 | [i] | ||
| 55 | No (30, 165, 127)-net in base 4 | [i] | ||
| 56 | No (30, 166, 127)-net in base 4 | [i] | ||
| 57 | No (30, 167, 127)-net in base 4 | [i] | ||
| 58 | No (30, 168, 127)-net in base 4 | [i] | ||
| 59 | No (30, 169, 127)-net in base 4 | [i] | ||
| 60 | No (30, 170, 127)-net in base 4 | [i] | ||
| 61 | No (30, 171, 127)-net in base 4 | [i] | ||
| 62 | No (30, 172, 127)-net in base 4 | [i] | ||
| 63 | No (30, 173, 127)-net in base 4 | [i] | ||
| 64 | No (30, 174, 127)-net in base 4 | [i] | ||
| 65 | No (30, 175, 127)-net in base 4 | [i] | ||
| 66 | No (30, 176, 127)-net in base 4 | [i] | ||
| 67 | No (30, 177, 127)-net in base 4 | [i] | ||
| 68 | No (30, 178, 127)-net in base 4 | [i] | ||
| 69 | No (30, 179, 127)-net in base 4 | [i] | ||
| 70 | No (30, 180, 127)-net in base 4 | [i] | ||
| 71 | No (30, 181, 127)-net in base 4 | [i] | ||
| 72 | No (30, 182, 127)-net in base 4 | [i] | ||
| 73 | No (30, 183, 127)-net in base 4 | [i] | ||
| 74 | No (30, 184, 127)-net in base 4 | [i] | ||
| 75 | No (30, 185, 127)-net in base 4 | [i] | ||
| 76 | No (30, 186, 127)-net in base 4 | [i] | ||
| 77 | No (30, 187, 127)-net in base 4 | [i] | ||
| 78 | No (30, 188, 127)-net in base 4 | [i] | ||
| 79 | No (30, 189, 127)-net in base 4 | [i] | ||
| 80 | No (30, 190, 127)-net in base 4 | [i] | ||
| 81 | No (30, 191, 127)-net in base 4 | [i] | ||
| 82 | No (30, 192, 127)-net in base 4 | [i] | ||
| 83 | No (30, 193, 127)-net in base 4 | [i] | ||
| 84 | No (30, 194, 127)-net in base 4 | [i] | ||
| 85 | No (30, 195, 127)-net in base 4 | [i] | ||
| 86 | No (30, 196, 127)-net in base 4 | [i] | ||
| 87 | No (30, 197, 127)-net in base 4 | [i] | ||
| 88 | No (30, 198, 127)-net in base 4 | [i] | ||
| 89 | No (30, 199, 127)-net in base 4 | [i] | ||
| 90 | No (30, 200, 127)-net in base 4 | [i] | ||
| 91 | No (30, 201, 127)-net in base 4 | [i] | ||
| 92 | No (30, 202, 127)-net in base 4 | [i] | ||
| 93 | No (30, 203, 127)-net in base 4 | [i] | ||
| 94 | No (30, 204, 127)-net in base 4 | [i] | ||
| 95 | No (30, 205, 127)-net in base 4 | [i] | ||
| 96 | No (30, 206, 127)-net in base 4 | [i] | ||
| 97 | No (30, 207, 127)-net in base 4 | [i] | ||
| 98 | No (30, 208, 127)-net in base 4 | [i] | ||
| 99 | No (30, 209, 127)-net in base 4 | [i] | ||
| 100 | No (30, 210, 127)-net in base 4 | [i] | ||
| 101 | No (30, 211, 127)-net in base 4 | [i] | ||