Information on Result #523853
There is no (4, 39, 211)-net in base 16, because extracting embedded orthogonal array would yield OA(1639, 211, S16, 35), but
- the linear programming bound shows that M ≥ 81 063143 874310 794320 659731 456994 035370 740413 961466 015137 822814 674700 920789 401600 / 866 587492 621204 295082 820093 891499 > 1639 [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 (4, 40, 211)-net in base 16 | [i] | m-Reduction | |
| 2 | No (4, 41, 211)-net in base 16 | [i] | ||
| 3 | No (4, 42, 211)-net in base 16 | [i] | ||
| 4 | No (4, 43, 211)-net in base 16 | [i] | ||
| 5 | No (4, 44, 211)-net in base 16 | [i] | ||