Information on Result #520857
There is no (113, 211, 288)-net in base 2, because extracting embedded orthogonal array would yield OA(2211, 288, S2, 98), but
- 12 times code embedding in larger space [i] would yield OA(2223, 300, S2, 98), but
- the linear programming bound shows that M ≥ 1 797227 776840 883681 896516 291018 079602 556004 736527 384481 376471 307374 972535 986485 205069 933364 379648 / 112622 624143 760877 566730 935625 > 2223 [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 (113, 212, 288)-net in base 2 | [i] | m-Reduction | |