Information on Result #520815
There is no (109, 211, 231)-net in base 2, because extracting embedded orthogonal array would yield OA(2211, 231, S2, 102), but
- the linear programming bound shows that M ≥ 458 319093 341560 876509 339256 479333 721451 831455 183189 732178 761374 236672 / 109681 > 2211 [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 (109, 212, 231)-net in base 2 | [i] | m-Reduction | |
| 2 | No (109, 213, 231)-net in base 2 | [i] | ||
| 3 | No (109, 214, 231)-net in base 2 | [i] | ||
| 4 | No (109, 215, 231)-net in base 2 | [i] | ||
| 5 | No (109, 216, 231)-net in base 2 | [i] | ||