Information on Result #1855058
There is no (4, 249, 251)-net in base 49, because extracting embedded OOA would yield OA(49249, 251, S49, 245), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 354 013649 449525 931426 279442 990642 053580 432370 765307 807128 294998 551122 640747 634597 271084 333393 795330 500587 164243 140988 540373 888581 863590 044622 404991 728906 599366 400005 917176 740377 601943 975293 629949 119408 598903 469298 568197 261263 089787 497027 712508 751288 114794 103433 426230 872340 717070 631044 534195 535930 764662 142517 697871 788941 015702 182840 766509 295270 854651 459881 610586 893475 184126 853183 587780 497947 092464 128387 019611 820640 300001 / 41 > 49249 [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 (4, m, 251)-net in base 49 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |