Information on Result #520974
There is no (126, 230, 283)-net in base 2, because extracting embedded orthogonal array would yield OA(2230, 283, S2, 104), but
- adding a parity check bit [i] would yield OA(2231, 284, S2, 105), but
- the linear programming bound shows that M ≥ 208557 008507 723789 031557 389329 381561 817137 556188 539558 960408 788198 339282 963223 421267 214336 / 47 001142 383583 644621 > 2231 [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 (126, 231, 283)-net in base 2 | [i] | m-Reduction | |