Information on Result #523523
There is no (3, 37, 41)-net in base 9, because extracting embedded orthogonal array would yield OA(937, 41, S9, 34), but
- the linear programming bound shows that M ≥ 494 520898 410959 817514 303085 999134 242591 / 2275 > 937 [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 (3, 38, 41)-net in base 9 | [i] | m-Reduction | |
| 2 | No (3, 39, 41)-net in base 9 | [i] | ||
| 3 | No (3, 40, 41)-net in base 9 | [i] | ||
| 4 | No (3, 41, 41)-net in base 9 | [i] | ||
| 5 | No (3, 42, 41)-net in base 9 | [i] | ||
| 6 | No (3, 43, 41)-net in base 9 | [i] | ||
| 7 | No (3, 44, 41)-net in base 9 | [i] | ||
| 8 | No (3, 45, 41)-net in base 9 | [i] | ||
| 9 | No (3, 46, 41)-net in base 9 | [i] | ||
| 10 | No (3, 47, 41)-net in base 9 | [i] | ||
| 11 | No (3, 48, 41)-net in base 9 | [i] | ||
| 12 | No (3, 49, 41)-net in base 9 | [i] | ||
| 13 | No (3, 50, 41)-net in base 9 | [i] | ||
| 14 | No (3, 51, 41)-net in base 9 | [i] | ||
| 15 | No (3, 52, 41)-net in base 9 | [i] | ||
| 16 | No (3, 53, 41)-net in base 9 | [i] | ||
| 17 | No (3, 54, 41)-net in base 9 | [i] | ||
| 18 | No (3, 55, 41)-net in base 9 | [i] | ||
| 19 | No (3, 56, 41)-net in base 9 | [i] | ||
| 20 | No (3, 57, 41)-net in base 9 | [i] | ||
| 21 | No (3, 58, 41)-net in base 9 | [i] | ||
| 22 | No (3, 59, 41)-net in base 9 | [i] | ||
| 23 | No (3, 60, 41)-net in base 9 | [i] | ||
| 24 | No (3, 61, 41)-net in base 9 | [i] | ||
| 25 | No (3, 62, 41)-net in base 9 | [i] | ||
| 26 | No (3, 63, 41)-net in base 9 | [i] | ||
| 27 | No (3, 64, 41)-net in base 9 | [i] | ||
| 28 | No (3, 65, 41)-net in base 9 | [i] | ||
| 29 | No (3, 66, 41)-net in base 9 | [i] | ||
| 30 | No (3, 67, 41)-net in base 9 | [i] | ||
| 31 | No (3, 68, 41)-net in base 9 | [i] | ||
| 32 | No (3, 69, 41)-net in base 9 | [i] | ||
| 33 | No (3, 70, 41)-net in base 9 | [i] | ||
| 34 | No (3, 71, 41)-net in base 9 | [i] | ||
| 35 | No (3, 72, 41)-net in base 9 | [i] | ||
| 36 | No (3, 73, 41)-net in base 9 | [i] | ||
| 37 | No (3, 74, 41)-net in base 9 | [i] | ||
| 38 | No (3, 75, 41)-net in base 9 | [i] | ||
| 39 | No (3, 76, 41)-net in base 9 | [i] | ||
| 40 | No (3, 77, 41)-net in base 9 | [i] | ||
| 41 | No (3, 78, 41)-net in base 9 | [i] | ||
| 42 | No (3, 79, 41)-net in base 9 | [i] | ||
| 43 | No (3, 80, 41)-net in base 9 | [i] | ||
| 44 | No (3, 81, 41)-net in base 9 | [i] | ||
| 45 | No (3, 82, 41)-net in base 9 | [i] | ||
| 46 | No (3, 83, 41)-net in base 9 | [i] | ||
| 47 | No (3, 84, 41)-net in base 9 | [i] | ||
| 48 | No (3, 85, 41)-net in base 9 | [i] | ||
| 49 | No (3, 86, 41)-net in base 9 | [i] | ||
| 50 | No (3, 87, 41)-net in base 9 | [i] | ||
| 51 | No (3, 88, 41)-net in base 9 | [i] | ||
| 52 | No (3, 89, 41)-net in base 9 | [i] | ||
| 53 | No (3, 90, 41)-net in base 9 | [i] | ||
| 54 | No (3, 91, 41)-net in base 9 | [i] | ||
| 55 | No (3, 92, 41)-net in base 9 | [i] | ||
| 56 | No (3, 93, 41)-net in base 9 | [i] | ||
| 57 | No (3, 94, 41)-net in base 9 | [i] | ||
| 58 | No (3, 95, 41)-net in base 9 | [i] | ||
| 59 | No (3, 96, 41)-net in base 9 | [i] | ||
| 60 | No (3, 97, 41)-net in base 9 | [i] | ||
| 61 | No (3, 98, 41)-net in base 9 | [i] | ||
| 62 | No (3, 99, 41)-net in base 9 | [i] | ||
| 63 | No (3, 100, 41)-net in base 9 | [i] | ||
| 64 | No (3, 101, 41)-net in base 9 | [i] | ||
| 65 | No (3, 102, 41)-net in base 9 | [i] | ||
| 66 | No (3, 103, 41)-net in base 9 | [i] | ||
| 67 | No (3, 104, 41)-net in base 9 | [i] | ||
| 68 | No (3, 105, 41)-net in base 9 | [i] | ||
| 69 | No (3, 106, 41)-net in base 9 | [i] | ||
| 70 | No (3, 107, 41)-net in base 9 | [i] | ||
| 71 | No (3, 108, 41)-net in base 9 | [i] | ||
| 72 | No (3, 109, 41)-net in base 9 | [i] | ||
| 73 | No (3, 110, 41)-net in base 9 | [i] | ||
| 74 | No (3, 111, 41)-net in base 9 | [i] | ||
| 75 | No (3, 112, 41)-net in base 9 | [i] | ||
| 76 | No (3, 113, 41)-net in base 9 | [i] | ||
| 77 | No (3, 114, 41)-net in base 9 | [i] | ||
| 78 | No (3, 115, 41)-net in base 9 | [i] | ||
| 79 | No (3, 116, 41)-net in base 9 | [i] | ||
| 80 | No (3, 117, 41)-net in base 9 | [i] | ||
| 81 | No (3, 118, 41)-net in base 9 | [i] | ||
| 82 | No (3, 119, 41)-net in base 9 | [i] | ||
| 83 | No (3, 120, 41)-net in base 9 | [i] | ||
| 84 | No (3, 121, 41)-net in base 9 | [i] | ||
| 85 | No (3, 122, 41)-net in base 9 | [i] | ||
| 86 | No (3, 123, 41)-net in base 9 | [i] | ||
| 87 | No (3, 124, 41)-net in base 9 | [i] | ||
| 88 | No (3, 125, 41)-net in base 9 | [i] | ||
| 89 | No (3, 126, 41)-net in base 9 | [i] | ||
| 90 | No (3, 127, 41)-net in base 9 | [i] | ||
| 91 | No (3, 128, 41)-net in base 9 | [i] | ||
| 92 | No (3, 129, 41)-net in base 9 | [i] | ||
| 93 | No (3, 130, 41)-net in base 9 | [i] | ||
| 94 | No (3, 131, 41)-net in base 9 | [i] | ||
| 95 | No (3, 132, 41)-net in base 9 | [i] | ||
| 96 | No (3, 133, 41)-net in base 9 | [i] | ||
| 97 | No (3, 134, 41)-net in base 9 | [i] | ||
| 98 | No (3, 135, 41)-net in base 9 | [i] | ||
| 99 | No (3, 136, 41)-net in base 9 | [i] | ||
| 100 | No (3, 137, 41)-net in base 9 | [i] | ||
| 101 | No (3, 138, 41)-net in base 9 | [i] | ||
| 102 | No (3, 139, 41)-net in base 9 | [i] | ||
| 103 | No (3, 140, 41)-net in base 9 | [i] | ||
| 104 | No (3, 141, 41)-net in base 9 | [i] | ||
| 105 | No (3, 142, 41)-net in base 9 | [i] | ||
| 106 | No (3, 143, 41)-net in base 9 | [i] | ||
| 107 | No (3, 144, 41)-net in base 9 | [i] | ||
| 108 | No (3, 145, 41)-net in base 9 | [i] | ||
| 109 | No (3, 146, 41)-net in base 9 | [i] | ||
| 110 | No (3, 147, 41)-net in base 9 | [i] | ||
| 111 | No (3, 148, 41)-net in base 9 | [i] | ||
| 112 | No (3, 149, 41)-net in base 9 | [i] | ||
| 113 | No (3, 150, 41)-net in base 9 | [i] | ||
| 114 | No (3, m, 41)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |