Information on Result #522741
There is no (28, 89, 300)-net in base 5, because extracting embedded orthogonal array would yield OA(589, 300, S5, 61), but
- the linear programming bound shows that M ≥ 26678 246010 631137 429760 418376 617904 570436 960106 095146 950890 830576 146755 007586 898296 859601 342474 903656 670494 077879 710048 684103 185223 648324 608802 795410 156250 / 135 254019 495799 314939 492565 807491 240984 869091 107317 550744 938298 709709 984177 006612 981474 880681 > 589 [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 (28, 90, 300)-net in base 5 | [i] | m-Reduction | |
| 2 | No (28, 91, 300)-net in base 5 | [i] | ||
| 3 | No (28, 92, 300)-net in base 5 | [i] | ||