Information on Result #520967
There is no (125, 227, 284)-net in base 2, because extracting embedded orthogonal array would yield OA(2227, 284, S2, 102), but
- adding a parity check bit [i] would yield OA(2228, 285, S2, 103), but
- the linear programming bound shows that M ≥ 4 034161 780580 224571 807834 810043 778367 016643 680872 935104 289259 268042 795950 972450 751656 230912 / 8986 311777 879741 102525 > 2228 [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 (125, 228, 284)-net in base 2 | [i] | m-Reduction | |