Information on Result #523332
There is no (10, 61, 160)-net in base 8, because extracting embedded orthogonal array would yield OA(861, 160, S8, 51), but
- the linear programming bound shows that M ≥ 916491 456803 806802 853724 385858 544072 708829 910119 602304 314993 512489 449409 636013 036497 080897 583782 743579 470627 903160 006308 701772 185600 / 72844 197799 691985 895636 947018 611948 215650 842034 313217 872209 962216 415617 544543 > 861 [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 (10, 62, 160)-net in base 8 | [i] | m-Reduction | |
| 2 | No (10, 63, 160)-net in base 8 | [i] | ||