Information on Result #523865
There is no (4, 57, 162)-net in base 16, because extracting embedded orthogonal array would yield OA(1657, 162, S16, 53), but
- the linear programming bound shows that M ≥ 68 064421 429565 073444 218271 835894 641922 164860 485347 516307 210053 372020 760005 649821 389598 325485 862912 / 156271 290683 540696 273382 153697 > 1657 [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, 58, 162)-net in base 16 | [i] | m-Reduction | |