Information on Result #523685
There is no (10, 63, 197)-net in base 9, because extracting embedded orthogonal array would yield OA(963, 197, S9, 53), but
- the linear programming bound shows that M ≥ 127169 296363 566212 434644 789290 032451 398813 361778 136520 150124 453239 912036 588555 431675 332274 184206 274202 994825 807187 253105 417946 662922 857900 023040 / 91555 015747 473642 311727 358029 235533 442026 392623 556556 037801 707642 946307 663056 919393 > 963 [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 (10, 64, 197)-net in base 9 | [i] | m-Reduction | |
| 2 | No (10, 65, 197)-net in base 9 | [i] | ||
| 3 | No (10, 66, 197)-net in base 9 | [i] | ||
| 4 | No (10, 67, 197)-net in base 9 | [i] | ||
| 5 | No (10, 68, 197)-net in base 9 | [i] | ||
| 6 | No (10, 69, 197)-net in base 9 | [i] | ||
| 7 | No (10, 70, 197)-net in base 9 | [i] | ||
| 8 | No (10, 71, 197)-net in base 9 | [i] | ||
| 9 | No (10, 72, 197)-net in base 9 | [i] | ||
| 10 | No (10, 73, 197)-net in base 9 | [i] | ||
| 11 | No (10, 74, 197)-net in base 9 | [i] | ||