Information on Result #522386
There is no (2, 19, 16)-net in base 5, because extracting embedded OOA would yield OOA(519, 16, S5, 2, 17), but
- the linear programming bound for OOAs shows that M ≥ 3124 237060 546875 / 149 > 519 [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 (2, 20, 16)-net in base 5 | [i] | m-Reduction | |
| 2 | No (2, 21, 16)-net in base 5 | [i] | ||
| 3 | No (2, 22, 16)-net in base 5 | [i] | ||
| 4 | No (2, 23, 16)-net in base 5 | [i] | ||
| 5 | No (2, 24, 16)-net in base 5 | [i] | ||
| 6 | No (2, 25, 16)-net in base 5 | [i] | ||
| 7 | No (2, 26, 16)-net in base 5 | [i] | ||
| 8 | No (2, 27, 16)-net in base 5 | [i] | ||
| 9 | No (2, 28, 16)-net in base 5 | [i] | ||
| 10 | No (2, 29, 16)-net in base 5 | [i] | ||
| 11 | No (2, 30, 16)-net in base 5 | [i] | ||
| 12 | No (2, 31, 16)-net in base 5 | [i] | ||
| 13 | No (2, 32, 16)-net in base 5 | [i] | ||
| 14 | No (2, 33, 16)-net in base 5 | [i] | ||
| 15 | No (2, 34, 16)-net in base 5 | [i] | ||
| 16 | No (2, 35, 16)-net in base 5 | [i] | ||
| 17 | No (2, 36, 16)-net in base 5 | [i] | ||
| 18 | No (2, 37, 16)-net in base 5 | [i] | ||
| 19 | No (2, 38, 16)-net in base 5 | [i] | ||
| 20 | No (2, 39, 16)-net in base 5 | [i] | ||
| 21 | No (2, 40, 16)-net in base 5 | [i] | ||
| 22 | No (2, 41, 16)-net in base 5 | [i] | ||
| 23 | No (2, 42, 16)-net in base 5 | [i] | ||
| 24 | No (2, 43, 16)-net in base 5 | [i] | ||
| 25 | No (2, 44, 16)-net in base 5 | [i] | ||
| 26 | No (2, 45, 16)-net in base 5 | [i] | ||
| 27 | No (2, 46, 16)-net in base 5 | [i] | ||
| 28 | No (2, 47, 16)-net in base 5 | [i] | ||
| 29 | No (2, 48, 16)-net in base 5 | [i] | ||
| 30 | No (2, 49, 16)-net in base 5 | [i] | ||
| 31 | No (2, 50, 16)-net in base 5 | [i] | ||
| 32 | No (2, 51, 16)-net in base 5 | [i] | ||
| 33 | No (2, 52, 16)-net in base 5 | [i] | ||
| 34 | No (2, 53, 16)-net in base 5 | [i] | ||
| 35 | No (2, 54, 16)-net in base 5 | [i] | ||
| 36 | No (2, 55, 16)-net in base 5 | [i] | ||
| 37 | No (2, 56, 16)-net in base 5 | [i] | ||
| 38 | No (2, 57, 16)-net in base 5 | [i] | ||
| 39 | No (2, 58, 16)-net in base 5 | [i] | ||
| 40 | No (2, 59, 16)-net in base 5 | [i] | ||
| 41 | No (2, 60, 16)-net in base 5 | [i] | ||
| 42 | No (2, 61, 16)-net in base 5 | [i] | ||
| 43 | No (2, 62, 16)-net in base 5 | [i] | ||
| 44 | No (2, 63, 16)-net in base 5 | [i] | ||
| 45 | No (2, 64, 16)-net in base 5 | [i] | ||
| 46 | No (2, 65, 16)-net in base 5 | [i] | ||
| 47 | No (2, 66, 16)-net in base 5 | [i] | ||
| 48 | No (2, 67, 16)-net in base 5 | [i] | ||
| 49 | No (2, 68, 16)-net in base 5 | [i] | ||
| 50 | No (2, 69, 16)-net in base 5 | [i] | ||
| 51 | No (2, 70, 16)-net in base 5 | [i] | ||
| 52 | No (2, 71, 16)-net in base 5 | [i] | ||
| 53 | No (2, 72, 16)-net in base 5 | [i] | ||
| 54 | No (2, 73, 16)-net in base 5 | [i] | ||
| 55 | No (2, 74, 16)-net in base 5 | [i] | ||
| 56 | No (2, 75, 16)-net in base 5 | [i] | ||
| 57 | No (2, 76, 16)-net in base 5 | [i] | ||
| 58 | No (2, 77, 16)-net in base 5 | [i] | ||
| 59 | No (2, 78, 16)-net in base 5 | [i] | ||
| 60 | No (2, 79, 16)-net in base 5 | [i] | ||
| 61 | No (2, 80, 16)-net in base 5 | [i] | ||
| 62 | No (2, 81, 16)-net in base 5 | [i] | ||
| 63 | No (2, 82, 16)-net in base 5 | [i] | ||
| 64 | No (2, 83, 16)-net in base 5 | [i] | ||
| 65 | No (2, 84, 16)-net in base 5 | [i] | ||
| 66 | No (2, 85, 16)-net in base 5 | [i] | ||
| 67 | No (2, 86, 16)-net in base 5 | [i] | ||
| 68 | No (2, 87, 16)-net in base 5 | [i] | ||
| 69 | No (2, 88, 16)-net in base 5 | [i] | ||
| 70 | No (2, 89, 16)-net in base 5 | [i] | ||
| 71 | No (2, 90, 16)-net in base 5 | [i] | ||
| 72 | No (2, 91, 16)-net in base 5 | [i] | ||
| 73 | No (2, 92, 16)-net in base 5 | [i] | ||
| 74 | No (2, 93, 16)-net in base 5 | [i] | ||
| 75 | No (2, 94, 16)-net in base 5 | [i] | ||
| 76 | No (2, 95, 16)-net in base 5 | [i] | ||
| 77 | No (2, 96, 16)-net in base 5 | [i] | ||
| 78 | No (2, 97, 16)-net in base 5 | [i] | ||
| 79 | No (2, 98, 16)-net in base 5 | [i] | ||
| 80 | No (2, 99, 16)-net in base 5 | [i] | ||
| 81 | No (2, 100, 16)-net in base 5 | [i] | ||
| 82 | No (2, 101, 16)-net in base 5 | [i] | ||
| 83 | No (2, 102, 16)-net in base 5 | [i] | ||
| 84 | No (2, 103, 16)-net in base 5 | [i] | ||
| 85 | No (2, 104, 16)-net in base 5 | [i] | ||
| 86 | No (2, 105, 16)-net in base 5 | [i] | ||
| 87 | No (2, 106, 16)-net in base 5 | [i] | ||
| 88 | No (2, 107, 16)-net in base 5 | [i] | ||
| 89 | No (2, 108, 16)-net in base 5 | [i] | ||
| 90 | No (2, 109, 16)-net in base 5 | [i] | ||
| 91 | No (2, 110, 16)-net in base 5 | [i] | ||
| 92 | No (2, 111, 16)-net in base 5 | [i] | ||
| 93 | No (2, 112, 16)-net in base 5 | [i] | ||
| 94 | No (2, 113, 16)-net in base 5 | [i] | ||
| 95 | No (2, 114, 16)-net in base 5 | [i] | ||
| 96 | No (2, 115, 16)-net in base 5 | [i] | ||
| 97 | No (2, 116, 16)-net in base 5 | [i] | ||
| 98 | No (2, 117, 16)-net in base 5 | [i] | ||
| 99 | No (2, 118, 16)-net in base 5 | [i] | ||
| 100 | No (2, 119, 16)-net in base 5 | [i] | ||
| 101 | No (2, 120, 16)-net in base 5 | [i] | ||
| 102 | No (2, 121, 16)-net in base 5 | [i] | ||
| 103 | No (2, 122, 16)-net in base 5 | [i] | ||
| 104 | No (2, 123, 16)-net in base 5 | [i] | ||
| 105 | No (2, 124, 16)-net in base 5 | [i] | ||
| 106 | No (2, 125, 16)-net in base 5 | [i] | ||
| 107 | No (2, 126, 16)-net in base 5 | [i] | ||
| 108 | No (2, 127, 16)-net in base 5 | [i] | ||
| 109 | No (2, 128, 16)-net in base 5 | [i] | ||
| 110 | No (2, 129, 16)-net in base 5 | [i] | ||
| 111 | No (2, 130, 16)-net in base 5 | [i] | ||
| 112 | No (2, 131, 16)-net in base 5 | [i] | ||
| 113 | No (2, 132, 16)-net in base 5 | [i] | ||
| 114 | No (2, 133, 16)-net in base 5 | [i] | ||
| 115 | No (2, 134, 16)-net in base 5 | [i] | ||
| 116 | No (2, 135, 16)-net in base 5 | [i] | ||
| 117 | No (2, 136, 16)-net in base 5 | [i] | ||
| 118 | No (2, 137, 16)-net in base 5 | [i] | ||
| 119 | No (2, 138, 16)-net in base 5 | [i] | ||
| 120 | No (2, 139, 16)-net in base 5 | [i] | ||
| 121 | No (2, 140, 16)-net in base 5 | [i] | ||
| 122 | No (2, 141, 16)-net in base 5 | [i] | ||
| 123 | No (2, 142, 16)-net in base 5 | [i] | ||
| 124 | No (2, 143, 16)-net in base 5 | [i] | ||
| 125 | No (2, 144, 16)-net in base 5 | [i] | ||
| 126 | No (2, 145, 16)-net in base 5 | [i] | ||
| 127 | No (2, 146, 16)-net in base 5 | [i] | ||
| 128 | No (2, 147, 16)-net in base 5 | [i] | ||
| 129 | No (2, 148, 16)-net in base 5 | [i] | ||
| 130 | No (2, 149, 16)-net in base 5 | [i] | ||
| 131 | No (2, 150, 16)-net in base 5 | [i] | ||
| 132 | No (2, m, 16)-net in base 5 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |