Information on Result #522163
There is no (29, 109, 123)-net in base 4, because extracting embedded orthogonal array would yield OA(4109, 123, S4, 80), but
- the linear programming bound shows that M ≥ 64 104606 306644 111085 844977 797492 841266 115540 167873 142109 538693 549498 826752 / 127 155457 > 4109 [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 (29, 110, 123)-net in base 4 | [i] | m-Reduction | |
| 2 | No (29, 111, 123)-net in base 4 | [i] | ||
| 3 | No (29, 112, 123)-net in base 4 | [i] | ||
| 4 | No (29, 113, 123)-net in base 4 | [i] | ||
| 5 | No (29, 114, 123)-net in base 4 | [i] | ||
| 6 | No (29, 115, 123)-net in base 4 | [i] | ||
| 7 | No (29, 116, 123)-net in base 4 | [i] | ||
| 8 | No (29, 117, 123)-net in base 4 | [i] | ||
| 9 | No (29, 118, 123)-net in base 4 | [i] | ||
| 10 | No (29, 119, 123)-net in base 4 | [i] | ||
| 11 | No (29, 120, 123)-net in base 4 | [i] | ||
| 12 | No (29, 121, 123)-net in base 4 | [i] | ||
| 13 | No (29, 122, 123)-net in base 4 | [i] | ||
| 14 | No (29, 123, 123)-net in base 4 | [i] | ||
| 15 | No (29, 124, 123)-net in base 4 | [i] | ||
| 16 | No (29, 125, 123)-net in base 4 | [i] | ||
| 17 | No (29, 126, 123)-net in base 4 | [i] | ||
| 18 | No (29, 127, 123)-net in base 4 | [i] | ||
| 19 | No (29, 128, 123)-net in base 4 | [i] | ||
| 20 | No (29, 129, 123)-net in base 4 | [i] | ||
| 21 | No (29, 130, 123)-net in base 4 | [i] | ||
| 22 | No (29, 131, 123)-net in base 4 | [i] | ||
| 23 | No (29, 132, 123)-net in base 4 | [i] | ||
| 24 | No (29, 133, 123)-net in base 4 | [i] | ||
| 25 | No (29, 134, 123)-net in base 4 | [i] | ||
| 26 | No (29, 135, 123)-net in base 4 | [i] | ||
| 27 | No (29, 136, 123)-net in base 4 | [i] | ||
| 28 | No (29, 137, 123)-net in base 4 | [i] | ||
| 29 | No (29, 138, 123)-net in base 4 | [i] | ||
| 30 | No (29, 139, 123)-net in base 4 | [i] | ||
| 31 | No (29, 140, 123)-net in base 4 | [i] | ||
| 32 | No (29, 141, 123)-net in base 4 | [i] | ||
| 33 | No (29, 142, 123)-net in base 4 | [i] | ||
| 34 | No (29, 143, 123)-net in base 4 | [i] | ||
| 35 | No (29, 144, 123)-net in base 4 | [i] | ||
| 36 | No (29, 145, 123)-net in base 4 | [i] | ||
| 37 | No (29, 146, 123)-net in base 4 | [i] | ||
| 38 | No (29, 147, 123)-net in base 4 | [i] | ||
| 39 | No (29, 148, 123)-net in base 4 | [i] | ||
| 40 | No (29, 149, 123)-net in base 4 | [i] | ||
| 41 | No (29, 150, 123)-net in base 4 | [i] | ||
| 42 | No (29, 151, 123)-net in base 4 | [i] | ||
| 43 | No (29, 152, 123)-net in base 4 | [i] | ||
| 44 | No (29, 153, 123)-net in base 4 | [i] | ||
| 45 | No (29, 154, 123)-net in base 4 | [i] | ||
| 46 | No (29, 155, 123)-net in base 4 | [i] | ||
| 47 | No (29, 156, 123)-net in base 4 | [i] | ||
| 48 | No (29, 157, 123)-net in base 4 | [i] | ||
| 49 | No (29, 158, 123)-net in base 4 | [i] | ||
| 50 | No (29, 159, 123)-net in base 4 | [i] | ||
| 51 | No (29, 160, 123)-net in base 4 | [i] | ||
| 52 | No (29, 161, 123)-net in base 4 | [i] | ||
| 53 | No (29, 162, 123)-net in base 4 | [i] | ||
| 54 | No (29, 163, 123)-net in base 4 | [i] | ||
| 55 | No (29, 164, 123)-net in base 4 | [i] | ||
| 56 | No (29, 165, 123)-net in base 4 | [i] | ||
| 57 | No (29, 166, 123)-net in base 4 | [i] | ||
| 58 | No (29, 167, 123)-net in base 4 | [i] | ||
| 59 | No (29, 168, 123)-net in base 4 | [i] | ||
| 60 | No (29, 169, 123)-net in base 4 | [i] | ||
| 61 | No (29, 170, 123)-net in base 4 | [i] | ||
| 62 | No (29, 171, 123)-net in base 4 | [i] | ||
| 63 | No (29, 172, 123)-net in base 4 | [i] | ||
| 64 | No (29, 173, 123)-net in base 4 | [i] | ||
| 65 | No (29, 174, 123)-net in base 4 | [i] | ||
| 66 | No (29, 175, 123)-net in base 4 | [i] | ||
| 67 | No (29, 176, 123)-net in base 4 | [i] | ||
| 68 | No (29, 177, 123)-net in base 4 | [i] | ||
| 69 | No (29, 178, 123)-net in base 4 | [i] | ||
| 70 | No (29, 179, 123)-net in base 4 | [i] | ||
| 71 | No (29, 180, 123)-net in base 4 | [i] | ||
| 72 | No (29, 181, 123)-net in base 4 | [i] | ||
| 73 | No (29, 182, 123)-net in base 4 | [i] | ||
| 74 | No (29, 183, 123)-net in base 4 | [i] | ||
| 75 | No (29, 184, 123)-net in base 4 | [i] | ||
| 76 | No (29, 185, 123)-net in base 4 | [i] | ||
| 77 | No (29, 186, 123)-net in base 4 | [i] | ||
| 78 | No (29, 187, 123)-net in base 4 | [i] | ||
| 79 | No (29, 188, 123)-net in base 4 | [i] | ||
| 80 | No (29, 189, 123)-net in base 4 | [i] | ||
| 81 | No (29, 190, 123)-net in base 4 | [i] | ||
| 82 | No (29, 191, 123)-net in base 4 | [i] | ||
| 83 | No (29, 192, 123)-net in base 4 | [i] | ||
| 84 | No (29, 193, 123)-net in base 4 | [i] | ||
| 85 | No (29, 194, 123)-net in base 4 | [i] | ||
| 86 | No (29, 195, 123)-net in base 4 | [i] | ||
| 87 | No (29, 196, 123)-net in base 4 | [i] | ||
| 88 | No (29, 197, 123)-net in base 4 | [i] | ||
| 89 | No (29, 198, 123)-net in base 4 | [i] | ||
| 90 | No (29, 199, 123)-net in base 4 | [i] | ||
| 91 | No (29, 200, 123)-net in base 4 | [i] | ||
| 92 | No (29, 201, 123)-net in base 4 | [i] | ||
| 93 | No (29, 202, 123)-net in base 4 | [i] | ||
| 94 | No (29, 203, 123)-net in base 4 | [i] | ||
| 95 | No (29, 204, 123)-net in base 4 | [i] | ||
| 96 | No (29, 205, 123)-net in base 4 | [i] | ||