Information on Result #523123
There is no (16, 105, 116)-net in base 7, because extracting embedded orthogonal array would yield OA(7105, 116, S7, 89), but
- the linear programming bound shows that M ≥ 83 666546 653535 939552 480855 743847 612950 700869 329982 478928 196991 304032 769691 674719 729308 153962 596677 / 1472 063949 > 7105 [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 (16, 106, 116)-net in base 7 | [i] | m-Reduction | |
| 2 | No (16, 107, 116)-net in base 7 | [i] | ||
| 3 | No (16, 108, 116)-net in base 7 | [i] | ||
| 4 | No (16, 109, 116)-net in base 7 | [i] | ||
| 5 | No (16, 110, 116)-net in base 7 | [i] | ||