Information on Result #523871
There is no (4, 64, 135)-net in base 16, because extracting embedded orthogonal array would yield OA(1664, 135, S16, 60), but
- the linear programming bound shows that M ≥ 927307 381743 870318 843181 626529 192926 580561 440393 777192 457465 581435 826204 073270 718677 661117 803026 211590 373376 / 7 996408 842245 667928 521681 068641 > 1664 [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, 65, 135)-net in base 16 | [i] | m-Reduction | |
| 2 | No (4, 66, 135)-net in base 16 | [i] | ||
| 3 | No (4, 67, 135)-net in base 16 | [i] | ||