Information on Result #1850273
There is no (53, 584, 118)-net in base 3, because extracting embedded OOA would yield OOA(3584, 118, S3, 5, 531), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 60074 732088 444453 280705 277157 101490 553823 338281 143501 150748 127312 257853 807628 492485 274420 351708 699444 017276 510796 645059 964300 976644 665433 396175 753735 044015 118064 909490 174363 739469 303649 952987 723372 252353 039260 288489 185987 352767 177915 338072 721616 793074 230635 871095 614636 978433 163978 / 133 > 3584 [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 (53, m, 118)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net |