Information on Result #523920
There is no (5, 87, 94)-net in base 16, because extracting embedded orthogonal array would yield OA(1687, 94, S16, 82), but
- the linear programming bound shows that M ≥ 1423 730548 850924 712119 626065 534885 906064 402055 196015 536620 335548 648541 339943 696537 336009 277177 066502 191140 831232 / 2 409407 > 1687 [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, 88, 94)-net in base 16 | [i] | m-Reduction | |
| 2 | No (5, 89, 94)-net in base 16 | [i] | ||
| 3 | No (5, 90, 94)-net in base 16 | [i] | ||
| 4 | No (5, 91, 94)-net in base 16 | [i] | ||
| 5 | No (5, 92, 94)-net in base 16 | [i] | ||
| 6 | No (5, 93, 94)-net in base 16 | [i] | ||
| 7 | No (5, 94, 94)-net in base 16 | [i] | ||
| 8 | No (5, 95, 94)-net in base 16 | [i] | ||
| 9 | No (5, 96, 94)-net in base 16 | [i] | ||
| 10 | No (5, 97, 94)-net in base 16 | [i] | ||
| 11 | No (5, 98, 94)-net in base 16 | [i] | ||
| 12 | No (5, 99, 94)-net in base 16 | [i] | ||
| 13 | No (5, 100, 94)-net in base 16 | [i] | ||
| 14 | No (5, 101, 94)-net in base 16 | [i] | ||
| 15 | No (5, 102, 94)-net in base 16 | [i] | ||
| 16 | No (5, 103, 94)-net in base 16 | [i] | ||
| 17 | No (5, 104, 94)-net in base 16 | [i] | ||
| 18 | No (5, 105, 94)-net in base 16 | [i] | ||
| 19 | No (5, 106, 94)-net in base 16 | [i] | ||
| 20 | No (5, 107, 94)-net in base 16 | [i] | ||
| 21 | No (5, 108, 94)-net in base 16 | [i] | ||
| 22 | No (5, 109, 94)-net in base 16 | [i] | ||
| 23 | No (5, 110, 94)-net in base 16 | [i] | ||
| 24 | No (5, 111, 94)-net in base 16 | [i] | ||
| 25 | No (5, 112, 94)-net in base 16 | [i] | ||
| 26 | No (5, 113, 94)-net in base 16 | [i] | ||
| 27 | No (5, 114, 94)-net in base 16 | [i] | ||
| 28 | No (5, 115, 94)-net in base 16 | [i] | ||
| 29 | No (5, 116, 94)-net in base 16 | [i] | ||
| 30 | No (5, 117, 94)-net in base 16 | [i] | ||
| 31 | No (5, 118, 94)-net in base 16 | [i] | ||
| 32 | No (5, 119, 94)-net in base 16 | [i] | ||
| 33 | No (5, 120, 94)-net in base 16 | [i] | ||
| 34 | No (5, 121, 94)-net in base 16 | [i] | ||
| 35 | No (5, 122, 94)-net in base 16 | [i] | ||
| 36 | No (5, 123, 94)-net in base 16 | [i] | ||
| 37 | No (5, 124, 94)-net in base 16 | [i] | ||
| 38 | No (5, 125, 94)-net in base 16 | [i] | ||
| 39 | No (5, 126, 94)-net in base 16 | [i] | ||
| 40 | No (5, 127, 94)-net in base 16 | [i] | ||
| 41 | No (5, 128, 94)-net in base 16 | [i] | ||
| 42 | No (5, 129, 94)-net in base 16 | [i] | ||
| 43 | No (5, 130, 94)-net in base 16 | [i] | ||
| 44 | No (5, m, 94)-net in base 16 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |