Information on Result #523478
There is no (19, 168, 171)-net in base 8, because extracting embedded orthogonal array would yield OA(8168, 171, S8, 149), but
- the (dual) Plotkin bound shows that M ≥ 1675 975991 242824 637446 753124 775730 765934 920727 574049 172215 445180 465220 503759 193372 100234 287270 862928 461253 982273 310756 356719 235351 493321 243304 206125 760512 / 25 > 8168 [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 (19, 169, 171)-net in base 8 | [i] | m-Reduction | |
| 2 | No (19, 170, 171)-net in base 8 | [i] | ||
| 3 | No (19, 171, 171)-net in base 8 | [i] | ||
| 4 | No (19, 172, 171)-net in base 8 | [i] | ||
| 5 | No (19, 173, 171)-net in base 8 | [i] | ||