Information on Result #522835
There is no (1, 15, 16)-net in base 7, because extracting embedded OOA would yield OOA(715, 16, S7, 2, 14), but
- the linear programming bound for OOAs shows that M ≥ 365 562236 265611 / 75 > 715 [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 (1, 16, 16)-net in base 7 | [i] | m-Reduction | |
| 2 | No (1, 17, 16)-net in base 7 | [i] | ||
| 3 | No (1, 18, 16)-net in base 7 | [i] | ||
| 4 | No (1, 19, 16)-net in base 7 | [i] | ||
| 5 | No (1, 20, 16)-net in base 7 | [i] | ||
| 6 | No (1, 21, 16)-net in base 7 | [i] | ||
| 7 | No (1, 22, 16)-net in base 7 | [i] | ||
| 8 | No (1, 23, 16)-net in base 7 | [i] | ||
| 9 | No (1, 24, 16)-net in base 7 | [i] | ||
| 10 | No (1, 25, 16)-net in base 7 | [i] | ||
| 11 | No (1, 26, 16)-net in base 7 | [i] | ||
| 12 | No (1, 27, 16)-net in base 7 | [i] | ||
| 13 | No (1, 28, 16)-net in base 7 | [i] | ||
| 14 | No (1, 29, 16)-net in base 7 | [i] | ||
| 15 | No (1, 30, 16)-net in base 7 | [i] | ||
| 16 | No (1, 31, 16)-net in base 7 | [i] | ||
| 17 | No (1, 32, 16)-net in base 7 | [i] | ||
| 18 | No (1, 33, 16)-net in base 7 | [i] | ||
| 19 | No (1, 34, 16)-net in base 7 | [i] | ||
| 20 | No (1, 35, 16)-net in base 7 | [i] | ||
| 21 | No (1, 36, 16)-net in base 7 | [i] | ||
| 22 | No (1, 37, 16)-net in base 7 | [i] | ||
| 23 | No (1, 38, 16)-net in base 7 | [i] | ||
| 24 | No (1, 39, 16)-net in base 7 | [i] | ||
| 25 | No (1, 40, 16)-net in base 7 | [i] | ||
| 26 | No (1, 41, 16)-net in base 7 | [i] | ||
| 27 | No (1, 42, 16)-net in base 7 | [i] | ||
| 28 | No (1, 43, 16)-net in base 7 | [i] | ||
| 29 | No (1, 44, 16)-net in base 7 | [i] | ||
| 30 | No (1, 45, 16)-net in base 7 | [i] | ||
| 31 | No (1, 46, 16)-net in base 7 | [i] | ||
| 32 | No (1, 47, 16)-net in base 7 | [i] | ||
| 33 | No (1, 48, 16)-net in base 7 | [i] | ||
| 34 | No (1, 49, 16)-net in base 7 | [i] | ||
| 35 | No (1, 50, 16)-net in base 7 | [i] | ||
| 36 | No (1, 51, 16)-net in base 7 | [i] | ||
| 37 | No (1, 52, 16)-net in base 7 | [i] | ||
| 38 | No (1, 53, 16)-net in base 7 | [i] | ||
| 39 | No (1, 54, 16)-net in base 7 | [i] | ||
| 40 | No (1, 55, 16)-net in base 7 | [i] | ||
| 41 | No (1, 56, 16)-net in base 7 | [i] | ||
| 42 | No (1, 57, 16)-net in base 7 | [i] | ||
| 43 | No (1, 58, 16)-net in base 7 | [i] | ||
| 44 | No (1, 59, 16)-net in base 7 | [i] | ||
| 45 | No (1, 60, 16)-net in base 7 | [i] | ||
| 46 | No (1, 61, 16)-net in base 7 | [i] | ||
| 47 | No (1, 62, 16)-net in base 7 | [i] | ||
| 48 | No (1, 63, 16)-net in base 7 | [i] | ||
| 49 | No (1, 64, 16)-net in base 7 | [i] | ||
| 50 | No (1, 65, 16)-net in base 7 | [i] | ||
| 51 | No (1, 66, 16)-net in base 7 | [i] | ||
| 52 | No (1, 67, 16)-net in base 7 | [i] | ||
| 53 | No (1, 68, 16)-net in base 7 | [i] | ||
| 54 | No (1, 69, 16)-net in base 7 | [i] | ||
| 55 | No (1, 70, 16)-net in base 7 | [i] | ||
| 56 | No (1, 71, 16)-net in base 7 | [i] | ||
| 57 | No (1, 72, 16)-net in base 7 | [i] | ||
| 58 | No (1, 73, 16)-net in base 7 | [i] | ||
| 59 | No (1, 74, 16)-net in base 7 | [i] | ||
| 60 | No (1, 75, 16)-net in base 7 | [i] | ||
| 61 | No (1, 76, 16)-net in base 7 | [i] | ||
| 62 | No (1, 77, 16)-net in base 7 | [i] | ||
| 63 | No (1, 78, 16)-net in base 7 | [i] | ||
| 64 | No (1, 79, 16)-net in base 7 | [i] | ||
| 65 | No (1, 80, 16)-net in base 7 | [i] | ||
| 66 | No (1, 81, 16)-net in base 7 | [i] | ||
| 67 | No (1, 82, 16)-net in base 7 | [i] | ||
| 68 | No (1, 83, 16)-net in base 7 | [i] | ||
| 69 | No (1, 84, 16)-net in base 7 | [i] | ||
| 70 | No (1, 85, 16)-net in base 7 | [i] | ||
| 71 | No (1, 86, 16)-net in base 7 | [i] | ||
| 72 | No (1, 87, 16)-net in base 7 | [i] | ||
| 73 | No (1, 88, 16)-net in base 7 | [i] | ||
| 74 | No (1, 89, 16)-net in base 7 | [i] | ||
| 75 | No (1, 90, 16)-net in base 7 | [i] | ||
| 76 | No (1, 91, 16)-net in base 7 | [i] | ||
| 77 | No (1, 92, 16)-net in base 7 | [i] | ||
| 78 | No (1, 93, 16)-net in base 7 | [i] | ||
| 79 | No (1, 94, 16)-net in base 7 | [i] | ||
| 80 | No (1, 95, 16)-net in base 7 | [i] | ||
| 81 | No (1, 96, 16)-net in base 7 | [i] | ||
| 82 | No (1, 97, 16)-net in base 7 | [i] | ||
| 83 | No (1, 98, 16)-net in base 7 | [i] | ||
| 84 | No (1, 99, 16)-net in base 7 | [i] | ||
| 85 | No (1, 100, 16)-net in base 7 | [i] | ||
| 86 | No (1, 101, 16)-net in base 7 | [i] | ||
| 87 | No (1, 102, 16)-net in base 7 | [i] | ||
| 88 | No (1, 103, 16)-net in base 7 | [i] | ||
| 89 | No (1, 104, 16)-net in base 7 | [i] | ||
| 90 | No (1, 105, 16)-net in base 7 | [i] | ||
| 91 | No (1, 106, 16)-net in base 7 | [i] | ||
| 92 | No (1, 107, 16)-net in base 7 | [i] | ||
| 93 | No (1, 108, 16)-net in base 7 | [i] | ||
| 94 | No (1, 109, 16)-net in base 7 | [i] | ||
| 95 | No (1, 110, 16)-net in base 7 | [i] | ||
| 96 | No (1, m, 16)-net in base 7 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |