Information on Result #522613
There is no (18, 66, 173)-net in base 5, because extracting embedded orthogonal array would yield OA(566, 173, S5, 48), but
- the linear programming bound shows that M ≥ 674903 106323 478763 038018 560328 405964 641412 538237 106534 354217 727811 147236 947337 773516 736317 010284 549564 365652 596364 952842 122875 154018 402099 609375 / 48 652639 875561 652308 337532 364210 952712 444109 849771 786000 198245 773574 375778 397008 862648 659456 252292 > 566 [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 (18, 67, 173)-net in base 5 | [i] | m-Reduction | |
| 2 | No (18, 68, 173)-net in base 5 | [i] | ||
| 3 | No (18, 69, 173)-net in base 5 | [i] | ||
| 4 | No (18, 70, 173)-net in base 5 | [i] | ||