Information on Result #523710
There is no (11, 65, 225)-net in base 9, because extracting embedded orthogonal array would yield OA(965, 225, S9, 54), but
- the linear programming bound shows that M ≥ 1 407158 071957 405502 080634 170649 666681 351029 811313 477564 249946 509212 567552 061950 290997 535422 640957 000607 894786 170825 293062 081202 608589 929200 / 12919 598267 682231 631223 118900 223172 391171 482474 551992 207926 453044 062169 872017 > 965 [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 (11, 66, 225)-net in base 9 | [i] | m-Reduction | |
| 2 | No (11, 67, 225)-net in base 9 | [i] | ||
| 3 | No (11, 68, 225)-net in base 9 | [i] | ||
| 4 | No (11, 69, 225)-net in base 9 | [i] | ||
| 5 | No (11, 70, 225)-net in base 9 | [i] | ||
| 6 | No (11, 71, 225)-net in base 9 | [i] | ||
| 7 | No (11, 72, 225)-net in base 9 | [i] | ||
| 8 | No (11, 73, 225)-net in base 9 | [i] | ||
| 9 | No (11, 74, 225)-net in base 9 | [i] | ||
| 10 | No (11, 75, 225)-net in base 9 | [i] | ||
| 11 | No (11, 76, 225)-net in base 9 | [i] | ||
| 12 | No (11, 77, 225)-net in base 9 | [i] | ||
| 13 | No (11, 78, 225)-net in base 9 | [i] | ||
| 14 | No (11, 79, 225)-net in base 9 | [i] | ||
| 15 | No (11, 80, 225)-net in base 9 | [i] | ||
| 16 | No (11, 81, 225)-net in base 9 | [i] | ||
| 17 | No (11, 82, 225)-net in base 9 | [i] | ||
| 18 | No (11, 83, 225)-net in base 9 | [i] | ||