Information on Result #522732
There is no (27, 85, 300)-net in base 5, because extracting embedded orthogonal array would yield OA(585, 300, S5, 58), but
- the linear programming bound shows that M ≥ 634 525000 207082 536100 296561 804057 343269 503155 795860 421279 370751 410403 648468 789990 811511 209240 934546 557092 073293 393497 124270 652420 818805 694580 078125 / 1622 404032 421636 974309 186709 807435 620888 960222 026787 418196 121323 364094 426295 408276 101913 > 585 [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 (27, 86, 300)-net in base 5 | [i] | m-Reduction | |