Information on Result #1849757
There is no (115, 872, 126)-net in base 2, because extracting embedded OOA would yield OOA(2872, 126, S2, 7, 757), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 16 374180 089863 892084 551852 235590 734207 022226 425336 789578 589175 265662 099679 082448 895376 740280 484064 680649 679028 778893 167556 453986 820065 765343 325154 113812 958001 635138 730971 970782 741331 409915 789922 927177 018658 507941 374598 426355 767971 527336 024484 566388 593587 879065 681920 / 379 > 2872 [i]
Mode: Bound.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (115, m, 126)-net in base 2 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |