Information on Result #523952
There is no (6, 87, 177)-net in base 16, because extracting embedded orthogonal array would yield OA(1687, 177, S16, 81), but
- the linear programming bound shows that M ≥ 1979 490265 767149 060480 289641 042414 409901 982668 709551 972013 109722 618112 596178 616945 021767 047036 693222 515191 448031 188325 734085 173872 061467 835572 927146 914505 293824 / 3 430222 078227 205946 190279 817987 259978 700370 182828 419579 > 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 (6, 88, 177)-net in base 16 | [i] | m-Reduction | |