Information on Result #1849748
There is no (112, 851, 123)-net in base 2, because extracting embedded OOA would yield OOA(2851, 123, S2, 7, 739), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 3 993998 952924 100522 344655 894010 924650 217856 103768 335881 512642 475885 719991 313431 268628 022225 644736 294611 430738 206263 306113 405191 434472 793415 257097 202332 429545 141134 722818 360171 143086 282141 025359 354229 236532 324197 114103 740371 772216 307448 774588 011465 958351 699968 / 185 > 2851 [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 (112, m, 123)-net in base 2 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |