Information on Result #1850303
There is no (63, 689, 139)-net in base 3, because extracting embedded OOA would yield OOA(3689, 139, S3, 5, 626), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 16 082979 849924 461734 743859 050953 523847 564465 770513 577505 982527 033062 681397 020466 656584 933754 996978 204864 285309 582593 355472 720628 062099 966504 662793 142772 006477 816820 658510 105376 832834 777935 923642 990406 043655 139844 308843 014677 356596 854694 685846 895994 082002 209931 323233 697890 016519 680787 922888 974732 105077 698457 223710 615406 523703 762485 / 209 > 3689 [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 (63, m, 139)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |