Information on Result #520861
There is no (114, 200, 299)-net in base 2, because extracting embedded orthogonal array would yield OA(2200, 299, S2, 86), but
- adding a parity check bit [i] would yield OA(2201, 300, S2, 87), but
- the linear programming bound shows that M ≥ 6062 729839 358588 077129 287653 744482 312929 554681 473387 231550 995785 979703 893542 676711 534073 403563 590830 522368 / 1273 266655 863433 158102 727954 895995 795355 723661 > 2201 [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 (114, 201, 299)-net in base 2 | [i] | m-Reduction | |