Information on Result #522184
There is no (31, 116, 130)-net in base 4, because extracting embedded orthogonal array would yield OA(4116, 130, S4, 85), but
- the linear programming bound shows that M ≥ 2910 853909 303427 843179 867153 014027 057557 909168 265288 524176 409407 780925 198594 736128 / 395256 842585 > 4116 [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 (31, 117, 130)-net in base 4 | [i] | m-Reduction | |
| 2 | No (31, 118, 130)-net in base 4 | [i] | ||
| 3 | No (31, 119, 130)-net in base 4 | [i] | ||
| 4 | No (31, 120, 130)-net in base 4 | [i] | ||
| 5 | No (31, 121, 130)-net in base 4 | [i] | ||
| 6 | No (31, 122, 130)-net in base 4 | [i] | ||
| 7 | No (31, 123, 130)-net in base 4 | [i] | ||
| 8 | No (31, 124, 130)-net in base 4 | [i] | ||
| 9 | No (31, 125, 130)-net in base 4 | [i] | ||
| 10 | No (31, 126, 130)-net in base 4 | [i] | ||
| 11 | No (31, 127, 130)-net in base 4 | [i] | ||
| 12 | No (31, 128, 130)-net in base 4 | [i] | ||
| 13 | No (31, 129, 130)-net in base 4 | [i] | ||
| 14 | No (31, 130, 130)-net in base 4 | [i] | ||
| 15 | No (31, 131, 130)-net in base 4 | [i] | ||
| 16 | No (31, 132, 130)-net in base 4 | [i] | ||
| 17 | No (31, 133, 130)-net in base 4 | [i] | ||
| 18 | No (31, 134, 130)-net in base 4 | [i] | ||
| 19 | No (31, 135, 130)-net in base 4 | [i] | ||
| 20 | No (31, 136, 130)-net in base 4 | [i] | ||
| 21 | No (31, 137, 130)-net in base 4 | [i] | ||
| 22 | No (31, 138, 130)-net in base 4 | [i] | ||
| 23 | No (31, 139, 130)-net in base 4 | [i] | ||
| 24 | No (31, 140, 130)-net in base 4 | [i] | ||
| 25 | No (31, 141, 130)-net in base 4 | [i] | ||
| 26 | No (31, 142, 130)-net in base 4 | [i] | ||
| 27 | No (31, 143, 130)-net in base 4 | [i] | ||
| 28 | No (31, 144, 130)-net in base 4 | [i] | ||
| 29 | No (31, 145, 130)-net in base 4 | [i] | ||
| 30 | No (31, 146, 130)-net in base 4 | [i] | ||
| 31 | No (31, 147, 130)-net in base 4 | [i] | ||
| 32 | No (31, 148, 130)-net in base 4 | [i] | ||
| 33 | No (31, 149, 130)-net in base 4 | [i] | ||
| 34 | No (31, 150, 130)-net in base 4 | [i] | ||
| 35 | No (31, 151, 130)-net in base 4 | [i] | ||
| 36 | No (31, 152, 130)-net in base 4 | [i] | ||
| 37 | No (31, 153, 130)-net in base 4 | [i] | ||
| 38 | No (31, 154, 130)-net in base 4 | [i] | ||
| 39 | No (31, 155, 130)-net in base 4 | [i] | ||
| 40 | No (31, 156, 130)-net in base 4 | [i] | ||
| 41 | No (31, 157, 130)-net in base 4 | [i] | ||
| 42 | No (31, 158, 130)-net in base 4 | [i] | ||
| 43 | No (31, 159, 130)-net in base 4 | [i] | ||
| 44 | No (31, 160, 130)-net in base 4 | [i] | ||
| 45 | No (31, 161, 130)-net in base 4 | [i] | ||
| 46 | No (31, 162, 130)-net in base 4 | [i] | ||
| 47 | No (31, 163, 130)-net in base 4 | [i] | ||
| 48 | No (31, 164, 130)-net in base 4 | [i] | ||
| 49 | No (31, 165, 130)-net in base 4 | [i] | ||
| 50 | No (31, 166, 130)-net in base 4 | [i] | ||
| 51 | No (31, 167, 130)-net in base 4 | [i] | ||
| 52 | No (31, 168, 130)-net in base 4 | [i] | ||
| 53 | No (31, 169, 130)-net in base 4 | [i] | ||
| 54 | No (31, 170, 130)-net in base 4 | [i] | ||
| 55 | No (31, 171, 130)-net in base 4 | [i] | ||
| 56 | No (31, 172, 130)-net in base 4 | [i] | ||
| 57 | No (31, 173, 130)-net in base 4 | [i] | ||
| 58 | No (31, 174, 130)-net in base 4 | [i] | ||
| 59 | No (31, 175, 130)-net in base 4 | [i] | ||
| 60 | No (31, 176, 130)-net in base 4 | [i] | ||
| 61 | No (31, 177, 130)-net in base 4 | [i] | ||
| 62 | No (31, 178, 130)-net in base 4 | [i] | ||
| 63 | No (31, 179, 130)-net in base 4 | [i] | ||
| 64 | No (31, 180, 130)-net in base 4 | [i] | ||
| 65 | No (31, 181, 130)-net in base 4 | [i] | ||
| 66 | No (31, 182, 130)-net in base 4 | [i] | ||
| 67 | No (31, 183, 130)-net in base 4 | [i] | ||
| 68 | No (31, 184, 130)-net in base 4 | [i] | ||
| 69 | No (31, 185, 130)-net in base 4 | [i] | ||
| 70 | No (31, 186, 130)-net in base 4 | [i] | ||
| 71 | No (31, 187, 130)-net in base 4 | [i] | ||
| 72 | No (31, 188, 130)-net in base 4 | [i] | ||
| 73 | No (31, 189, 130)-net in base 4 | [i] | ||
| 74 | No (31, 190, 130)-net in base 4 | [i] | ||
| 75 | No (31, 191, 130)-net in base 4 | [i] | ||
| 76 | No (31, 192, 130)-net in base 4 | [i] | ||
| 77 | No (31, 193, 130)-net in base 4 | [i] | ||
| 78 | No (31, 194, 130)-net in base 4 | [i] | ||
| 79 | No (31, 195, 130)-net in base 4 | [i] | ||
| 80 | No (31, 196, 130)-net in base 4 | [i] | ||
| 81 | No (31, 197, 130)-net in base 4 | [i] | ||
| 82 | No (31, 198, 130)-net in base 4 | [i] | ||
| 83 | No (31, 199, 130)-net in base 4 | [i] | ||
| 84 | No (31, 200, 130)-net in base 4 | [i] | ||
| 85 | No (31, 201, 130)-net in base 4 | [i] | ||
| 86 | No (31, 202, 130)-net in base 4 | [i] | ||
| 87 | No (31, 203, 130)-net in base 4 | [i] | ||
| 88 | No (31, 204, 130)-net in base 4 | [i] | ||
| 89 | No (31, 205, 130)-net in base 4 | [i] | ||
| 90 | No (31, 206, 130)-net in base 4 | [i] | ||
| 91 | No (31, 207, 130)-net in base 4 | [i] | ||
| 92 | No (31, 208, 130)-net in base 4 | [i] | ||
| 93 | No (31, 209, 130)-net in base 4 | [i] | ||
| 94 | No (31, 210, 130)-net in base 4 | [i] | ||
| 95 | No (31, 211, 130)-net in base 4 | [i] | ||
| 96 | No (31, 212, 130)-net in base 4 | [i] | ||
| 97 | No (31, 213, 130)-net in base 4 | [i] | ||
| 98 | No (31, 214, 130)-net in base 4 | [i] | ||
| 99 | No (31, 215, 130)-net in base 4 | [i] | ||
| 100 | No (31, 216, 130)-net in base 4 | [i] | ||
| 101 | No (31, 217, 130)-net in base 4 | [i] | ||
| 102 | No (31, 218, 130)-net in base 4 | [i] | ||
| 103 | No (31, 219, 130)-net in base 4 | [i] | ||