Information on Result #522756
There is no (30, 99, 300)-net in base 5, because extracting embedded orthogonal array would yield OA(599, 300, S5, 69), but
- the linear programming bound shows that M ≥ 695 287988 126618 868852 612000 239496 562563 824063 906030 186819 600099 435489 031537 925448 460495 281082 812221 197984 683726 297336 397236 619972 686626 905656 094040 520030 070391 154018 542845 260952 844910 207204 520702 362060 546875 / 280439 373894 412081 020922 879411 708845 744810 893978 969409 355090 253911 885990 228102 657601 796451 470918 711542 266337 280307 291979 665058 394812 540747 > 599 [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 (30, 100, 300)-net in base 5 | [i] | m-Reduction | |
| 2 | No (30, 101, 300)-net in base 5 | [i] | ||