Information on Result #523218
There is no (5, 45, 52)-net in base 8, because extracting embedded orthogonal array would yield OA(845, 52, S8, 40), but
- the linear programming bound shows that M ≥ 17082 370822 074457 326416 360196 848644 913580 998656 / 353625 > 845 [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 (5, 46, 52)-net in base 8 | [i] | m-Reduction | |
| 2 | No (5, 47, 52)-net in base 8 | [i] | ||
| 3 | No (5, 48, 52)-net in base 8 | [i] | ||
| 4 | No (5, 49, 52)-net in base 8 | [i] | ||
| 5 | No (5, 50, 52)-net in base 8 | [i] | ||
| 6 | No (5, 51, 52)-net in base 8 | [i] | ||
| 7 | No (5, 52, 52)-net in base 8 | [i] | ||
| 8 | No (5, 53, 52)-net in base 8 | [i] | ||
| 9 | No (5, 54, 52)-net in base 8 | [i] | ||
| 10 | No (5, 55, 52)-net in base 8 | [i] | ||
| 11 | No (5, 56, 52)-net in base 8 | [i] | ||
| 12 | No (5, 57, 52)-net in base 8 | [i] | ||
| 13 | No (5, 58, 52)-net in base 8 | [i] | ||
| 14 | No (5, 59, 52)-net in base 8 | [i] | ||
| 15 | No (5, 60, 52)-net in base 8 | [i] | ||
| 16 | No (5, 61, 52)-net in base 8 | [i] | ||
| 17 | No (5, 62, 52)-net in base 8 | [i] | ||
| 18 | No (5, 63, 52)-net in base 8 | [i] | ||
| 19 | No (5, 64, 52)-net in base 8 | [i] | ||
| 20 | No (5, 65, 52)-net in base 8 | [i] | ||
| 21 | No (5, 66, 52)-net in base 8 | [i] | ||
| 22 | No (5, 67, 52)-net in base 8 | [i] | ||
| 23 | No (5, 68, 52)-net in base 8 | [i] | ||
| 24 | No (5, 69, 52)-net in base 8 | [i] | ||
| 25 | No (5, 70, 52)-net in base 8 | [i] | ||
| 26 | No (5, 71, 52)-net in base 8 | [i] | ||
| 27 | No (5, 72, 52)-net in base 8 | [i] | ||
| 28 | No (5, 73, 52)-net in base 8 | [i] | ||
| 29 | No (5, 74, 52)-net in base 8 | [i] | ||
| 30 | No (5, 75, 52)-net in base 8 | [i] | ||
| 31 | No (5, 76, 52)-net in base 8 | [i] | ||
| 32 | No (5, 77, 52)-net in base 8 | [i] | ||
| 33 | No (5, 78, 52)-net in base 8 | [i] | ||
| 34 | No (5, 79, 52)-net in base 8 | [i] | ||
| 35 | No (5, 80, 52)-net in base 8 | [i] | ||
| 36 | No (5, 81, 52)-net in base 8 | [i] | ||
| 37 | No (5, 82, 52)-net in base 8 | [i] | ||
| 38 | No (5, 83, 52)-net in base 8 | [i] | ||
| 39 | No (5, 84, 52)-net in base 8 | [i] | ||
| 40 | No (5, 85, 52)-net in base 8 | [i] | ||
| 41 | No (5, 86, 52)-net in base 8 | [i] | ||
| 42 | No (5, 87, 52)-net in base 8 | [i] | ||
| 43 | No (5, 88, 52)-net in base 8 | [i] | ||
| 44 | No (5, 89, 52)-net in base 8 | [i] | ||
| 45 | No (5, 90, 52)-net in base 8 | [i] | ||
| 46 | No (5, 91, 52)-net in base 8 | [i] | ||
| 47 | No (5, 92, 52)-net in base 8 | [i] | ||
| 48 | No (5, 93, 52)-net in base 8 | [i] | ||
| 49 | No (5, 94, 52)-net in base 8 | [i] | ||
| 50 | No (5, 95, 52)-net in base 8 | [i] | ||
| 51 | No (5, 96, 52)-net in base 8 | [i] | ||
| 52 | No (5, 97, 52)-net in base 8 | [i] | ||
| 53 | No (5, 98, 52)-net in base 8 | [i] | ||
| 54 | No (5, 99, 52)-net in base 8 | [i] | ||
| 55 | No (5, 100, 52)-net in base 8 | [i] | ||
| 56 | No (5, 101, 52)-net in base 8 | [i] | ||
| 57 | No (5, 102, 52)-net in base 8 | [i] | ||
| 58 | No (5, 103, 52)-net in base 8 | [i] | ||
| 59 | No (5, 104, 52)-net in base 8 | [i] | ||
| 60 | No (5, 105, 52)-net in base 8 | [i] | ||
| 61 | No (5, 106, 52)-net in base 8 | [i] | ||
| 62 | No (5, 107, 52)-net in base 8 | [i] | ||
| 63 | No (5, 108, 52)-net in base 8 | [i] | ||
| 64 | No (5, 109, 52)-net in base 8 | [i] | ||
| 65 | No (5, 110, 52)-net in base 8 | [i] | ||
| 66 | No (5, 111, 52)-net in base 8 | [i] | ||
| 67 | No (5, 112, 52)-net in base 8 | [i] | ||
| 68 | No (5, 113, 52)-net in base 8 | [i] | ||
| 69 | No (5, 114, 52)-net in base 8 | [i] | ||
| 70 | No (5, 115, 52)-net in base 8 | [i] | ||
| 71 | No (5, 116, 52)-net in base 8 | [i] | ||
| 72 | No (5, 117, 52)-net in base 8 | [i] | ||
| 73 | No (5, 118, 52)-net in base 8 | [i] | ||
| 74 | No (5, 119, 52)-net in base 8 | [i] | ||
| 75 | No (5, 120, 52)-net in base 8 | [i] | ||
| 76 | No (5, 121, 52)-net in base 8 | [i] | ||
| 77 | No (5, 122, 52)-net in base 8 | [i] | ||
| 78 | No (5, 123, 52)-net in base 8 | [i] | ||
| 79 | No (5, 124, 52)-net in base 8 | [i] | ||
| 80 | No (5, 125, 52)-net in base 8 | [i] | ||
| 81 | No (5, 126, 52)-net in base 8 | [i] | ||
| 82 | No (5, 127, 52)-net in base 8 | [i] | ||
| 83 | No (5, 128, 52)-net in base 8 | [i] | ||
| 84 | No (5, 129, 52)-net in base 8 | [i] | ||
| 85 | No (5, 130, 52)-net in base 8 | [i] | ||
| 86 | No (5, 131, 52)-net in base 8 | [i] | ||
| 87 | No (5, 132, 52)-net in base 8 | [i] | ||
| 88 | No (5, 133, 52)-net in base 8 | [i] | ||
| 89 | No (5, 134, 52)-net in base 8 | [i] | ||
| 90 | No (5, 135, 52)-net in base 8 | [i] | ||
| 91 | No (5, 136, 52)-net in base 8 | [i] | ||
| 92 | No (5, 137, 52)-net in base 8 | [i] | ||
| 93 | No (5, 138, 52)-net in base 8 | [i] | ||
| 94 | No (5, 139, 52)-net in base 8 | [i] | ||
| 95 | No (5, 140, 52)-net in base 8 | [i] | ||
| 96 | No (5, 141, 52)-net in base 8 | [i] | ||
| 97 | No (5, 142, 52)-net in base 8 | [i] | ||
| 98 | No (5, 143, 52)-net in base 8 | [i] | ||
| 99 | No (5, 144, 52)-net in base 8 | [i] | ||
| 100 | No (5, 145, 52)-net in base 8 | [i] | ||
| 101 | No (5, 146, 52)-net in base 8 | [i] | ||
| 102 | No (5, 147, 52)-net in base 8 | [i] | ||
| 103 | No (5, 148, 52)-net in base 8 | [i] | ||
| 104 | No (5, 149, 52)-net in base 8 | [i] | ||
| 105 | No (5, 150, 52)-net in base 8 | [i] | ||
| 106 | No (5, 151, 52)-net in base 8 | [i] | ||
| 107 | No (5, 152, 52)-net in base 8 | [i] | ||
| 108 | No (5, 153, 52)-net in base 8 | [i] | ||
| 109 | No (5, 154, 52)-net in base 8 | [i] | ||
| 110 | No (5, 155, 52)-net in base 8 | [i] | ||
| 111 | No (5, 156, 52)-net in base 8 | [i] | ||
| 112 | No (5, 157, 52)-net in base 8 | [i] | ||
| 113 | No (5, 158, 52)-net in base 8 | [i] | ||
| 114 | No (5, 159, 52)-net in base 8 | [i] | ||
| 115 | No (5, 160, 52)-net in base 8 | [i] | ||
| 116 | No (5, 161, 52)-net in base 8 | [i] | ||
| 117 | No (5, 162, 52)-net in base 8 | [i] | ||
| 118 | No (5, 163, 52)-net in base 8 | [i] | ||
| 119 | No (5, 164, 52)-net in base 8 | [i] | ||
| 120 | No (5, 165, 52)-net in base 8 | [i] | ||
| 121 | No (5, 166, 52)-net in base 8 | [i] | ||
| 122 | No (5, 167, 52)-net in base 8 | [i] | ||
| 123 | No (5, 168, 52)-net in base 8 | [i] | ||
| 124 | No (5, 169, 52)-net in base 8 | [i] | ||
| 125 | No (5, 170, 52)-net in base 8 | [i] | ||
| 126 | No (5, 171, 52)-net in base 8 | [i] | ||
| 127 | No (5, 172, 52)-net in base 8 | [i] | ||
| 128 | No (5, 173, 52)-net in base 8 | [i] | ||
| 129 | No (5, m, 52)-net in base 8 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |